**Research Area/ Research Interest: Mathematical physics**

**Research Paper Topics for** Masters and Ph.D. Thesis and publication

- Development of the Sci-math Sensemaking Framework: categorizing sensemaking of mathematical equations in science
- Coherent states and applications in mathematical physics
- Does time really flow? New clues come from a century-old approach to math
- Wong–Zakai approximations and random attractors of non-autonomous stochastic discrete complex Ginzburg–Landau equations
- Stable optical solitons for the Higher-order Non-Kerr NLSE via the modified simple equation method
- Computation of traveling wave solution for nonlinear variable-order fractional model of modified equal width equation
- A modified Villain formulation of fractons and other exotic theories
- Onset of the broad-ranging general stable soliton solutions of nonlinear equations in physics and gas dynamics
- Dynamics of exact soliton solutions to the coupled nonlinear system using reliable analytical mathematical approaches
- Learning barriers and student creativity in solving math problems
- A Reflection on the Thoughts and Beliefs of the Math Poet: Kiumars Monshizadeh
- A thermal form factor series for the longitudinal two-point function of the Heisenberg–Ising chain in the antiferromagnetic massive regime
- … for the fractional p-Laplacian Choquard logarithmic equation involving a nonlinearity with exponential critical and subcritical growth” [J. Math. Phys. 62, 051507 (2021 …
- Importance of math prerequisites for performance in introductory physics
- Perfect fluid spacetimes and Yamabe solitons
- Another proof of BEC in the GP-limit
- Deformed Morse-like potential
- Upper semi-continuity of random attractors and existence of invariant measures for nonlocal stochastic Swift–Hohenberg equation with multiplicative noise
- Construction of traveling wave solutions of the (2+ 1)-dimensional Heisenberg ferromagnetic spin chain equation
- A binary Darboux transformation for multicomponent NLS equations and their reductions
- Dirac Hamiltonian in a supersymmetric framework
- The Cauchy problem for the Klein–Gordon equation under the quartic potential in the de Sitter spacetime
- Computational Simulations; Abundant Optical Wave Solutions Atangana Conformable Fractional Nonlinear Schrödinger Equation
- Global well-posedness of z-weak solutions to the primitive equations without vertical diffusivity
- Global well-posedness for the cubic nonlinear Schrödinger equation with initial data lying in Lp-based Sobolev spaces
- Perturbation theory for linear operators: denseness and bases with applications
- The Weyl double copy from twistor space
- Interaction among lump, periodic, and kink solutions with dynamical analysis to the conformable time-fractional Phi-four equation
- Remarks on periodic Jacobi matrices on trees
- INTEGRATED MATH LESSON
- Development of an Android-Based for Math E-Module by using Adobe Flash Professional CS6 for Grade X Students of Senior High School
- The -dressing method and soliton solutions for the three-component coupled Hirota equations
- Study on date–Jimbo–Kashiwara–Miwa equation with conformable derivative dependent on time parameter to find the exact dynamic wave solutions
- MATH 1410-M Fundamentals of Calculus
- Mathematical information retrieval
- Dynamics of large boson systems with attractive interaction and a derivation of the cubic focusing NLS equation in
- On the degenerate Elzaki transform
- Stabilization of swelling porous elastic soils with fluid saturation and delay time terms
- Abundant analytical soliton solutions and Evolutionary behaviors of various wave profiles to the Chaffee–Infante equation with gas diffusion in a …
- Fractional numerical simulation of mathematical model of HIV-1 infection with stem cell therapy.
- Mathematical Intuition: impact on non-math major undergraduates
- Bilinear expansions of lattices of KP τ-functions in BKP τ-functions: A fermionic approach
- Symmetries, constants of the motion, and reduction of mechanical systems with external forces
- Harmonizing wave solutions to the Fokas-Lenells model through the generalized Kudryashov method
- A geometric recipe for twisted superpotentials
- Existence, nonexistence, and stability of solutions for a delayed plate equation with the logarithmic source
- Blowup for regular solutions and solutions of the two-phase model in with a free boundary
- Dynamical behaviour of travelling wave solutions to the conformable time-fractional modified Liouville and mRLW equations in water wave mechanics
- On the multistage differential transformation method for analyzing damping Duffing oscillator and its applications to plasma physics
- Numerical simulation for coupled nonlinear Schrödinger–Korteweg–de Vries and Maccari systems of equations
- Invariant Gibbs measure and global strong solutions for the Hartree NLS equation in dimension three
- A note on function space and boundedness of the general fractional integral in continuous time random walk
- Solutions to integrable space-time shifted nonlocal equations
- Resolvent estimates for the magnetic Hamiltonian with singular vector potentials and applications
- Random matrix spectral form factor of dual-unitary quantum circuits
- On some degenerate differential and degenerate difference operators
- Hausdorff operator and commutator on weighted Morrey–Herz spaces on p-adic fields
- Spin (11, 3), particles, and octonions
- Spin in Schrödinger-quantized pseudoclassical systems
- Evaporation kinetics of a polydisperse ensemble of drops
- A Math Formula Extraction and Evaluation Framework for PDF Documents
- Spin (7)-manifolds and multisymplectic geometry
- The optical soliton solutions of generalized coupled nonlinear Schrödinger-Korteweg-de Vries equations
- Nonlinear dispersion in parabolic law medium and its optical solitons
- Fractional Skyrmion molecules in a ℂPN− 1 model
- Generalized lump solutions, classical lump solutions and rogue waves of the (2+ 1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada-like equation
- Bands of pure absolutely continuous spectrum for lattice Schrödinger operators with a more general long range condition
- Review of the methods of transition from partial to ordinary differential equations: from macro-to nano-structural dynamics
- HNN-extension of involutive multiplicative Hom-Lie algebras
- Lump, multi-wave, kinky breathers, interactional solutions and stability analysis for general (2+ 1)-rth dispersionless Dym equation
- Egg and math: introducing a universal formula for egg shape
- Theory of a superluminous vacuum quanta as the fabric of Space
- Effect of water depth on Kelvin–Helmholtz instability in a shallow water flow
- Generalized Susskind–Glogower coherent states
- The classical β-ensembles with β proportional to 1/N: From loop equations to Dyson’s disordered chain
- Conformable double Laplace transform method for solving conformable fractional partial differential equations
- Physics-informed machine learning
- Lie symmetry, nonlocal symmetry analysis, and interaction of solutions of a (2+ 1)-dimensional KdV–mKdV equation
- Finite-dimensional tau functions of the universal character hierarchy
- Chebyshev fifth-kind series approximation for generalized space fractional partial differential equations
- Galerkin-type solution for the Moore–Gibson–Thompson thermoelasticity theory
- Line soliton interactions for shallow ocean waves and novel solutions with peakon, ring, conical, columnar, and lump structures based on fractional KP …
- APPLICATION OF q-BESSEL FUNCTIONS IN THE SOLUTION OF GENERALIZED FRACTIONAL KINETIC EQUATIONS
- Spectral collocation approach with shifted Chebyshev sixth-kind series approximation for generalized space fractional partial differential equations
- Optical solitons and other solutions to Kaup–Newell equation with Jacobi elliptic function expansion method
- The travelling wave solutions of nonlinear evolution equations with both a dissipative term and a positive integer power term
- Cohomology and deformations of weighted Rota-Baxter operators
- New soliton configurations for two different models related to the nonlinear Schrödinger equation through a graded-index waveguide
- The Robin problem on rectangles
- Chern-Weil global symmetries and how quantum gravity avoids them
- Dynamical behaviors and oblique resonant nonlinear waves with dual-power law nonlinearity and conformable temporal evolution
- Machine-learning mathematical structures
- The reducing rank method to solve third-order Duffing equation with the homotopy perturbation
- New conservation laws and exact solutions of the special case of the fifth-order KdV equation
- Liouville foliations of topological billiards with slipping
- Tetrahedron equation: algebra, topology, and integrability
- Split Casimir operator for simple Lie algebras, solutions of Yang–Baxter equations, and Vogel parameters
- On the conservation laws and exact solutions to the (3+ 1)-dimensional modified kdv-zakharov-kuznetsov equation
- Large deviation principles for Langevin equations in random environment and applications
- Dimensional reduction of electromagnetism
- Cubic–quartic optical solitons and conservation laws with Kudryashov’s law of refractive index by extended trial function
- Cylindrical Hardy type inequalities with Bessel pairs
- Modulation instability analysis and longitudinal wave propagation in an elastic cylindrical rod modelled with Pochhammer-Chree equation
- Mathematical Communication Ability from The Perspective of Math Anxiety in 10th Grade Student
- Perturbations of circuit evolution matrices with Jordan blocks
- Jackiw-Teitelboim gravity in the second order formalism
- Periodic and solitary wave solutions to a family of new 3D fractional WBBM equations using the two-variable method
- A classification of invertible phases of bosonic quantum lattice systems in one dimension
- Quantized Number Theory, Fractal Strings and the Riemann Hypothesis: From Spectral Operators to Phase Transitions and Universality
- Gender gaps in math performance, perceived mathematical ability and college STEM education: The role of parental occupation
- Two novel Bessel matrix techniques to solve the squeezing flow problem between infinite parallel plates
- The Riemann-Hilbert approach for the focusing Hirota equation with single and double poles
- Universal edge scaling in random partitions
- Riemann–Hilbert method for multi-soliton solutions of a fifth-order nonlinear Schrödinger equation
- Invariance analysis, optimal system, closed-form solutions and dynamical wave structures of a (2+ 1)-dimensional dissipative long wave system
- Existence and multiplicity of solutions for the fractional p-Laplacian Choquard logarithmic equation involving a nonlinearity with exponential critical and subcritical …
- Order Relations Are Ubiquitously Fundamental: Alexandrov (-Zeeman) Theorem Extended from Space-Time Physics to Logical Reasoning and Decision …
- On determining some exact wave solutions to the Nizhnik–Novikov–Veselov system via a rebuts technique
- Gluing II: boundary localization and gluing formulas
- Addendum: Painlevé transcendents and-symmetric Hamiltonians (2015 J. Phys. A: Math. Theor. 48 475202)
- Stability threshold for 2D shear flows of the Boussinesq system near Couette
- Super-Macdonald polynomials: orthogonality and Hilbert space interpretation
- … -acoustic waves in the fluid ions propagated via a (3+ 1)-dimensional generalized Korteweg–de-Vries–Zakharov–Kuznetsov equation in plasma physics
- A residual power series method for solving pseudo hyperbolic partial differential equations with nonlocal conditions
- New Wave Behaviours of the Generalized Kadomtsev-Petviashvili Modified Equal Width-Burgers Equation
- Liouvillian integrability of the generalized Duffing oscillators
- Twisted Rota–Baxter operators and Reynolds operators on Lie algebras and NS-Lie algebras
- Classification of finite irreducible conformal modules for
- On dispersion managed nonlinear Schrödinger equations with lumped amplification
- Grassmannian-parameterized solutions to direct-sum polygon and simplex equations
- New auxiliary equation approach to derive solutions of fractional resonant Schrödinger equation
- Random translation-invariant Hamiltonians and their spectral gaps
- Construction of different types of traveling wave solutions of the relativistic wave equation associated with the Schrödinger equation
- On solution of a class of nonlinear variable order fractional reaction–diffusion equation with Mittag–Leffler kernel
- Non-local Problems with Integral Displacement for Highorder Parabolic Equations
- Gibbs measures of Potts model on Cayley trees: A survey and applications
- Limit theorems and soft edge of freezing random matrix models via dual orthogonal polynomials
- On the origins of Riemann–Hilbert problems in mathematics
- Numerical Methods for Scientific Computing: The Definitive Manual for Math Geeks
- Systematics of type IIB moduli stabilisation with odd axions
- Unitary channel discrimination beyond group structures: Advantages of sequential and indefinite-causal-order strategies
- Reduced SIR model of COVID-19 pandemic
- Soliton Solutions of ( 2 + 1 ) Dimensional Heisenberg Ferromagnetic Spin Equation by the Extended Rational sine – cosine and sinh …
- Gradient Gibbs measures of an SOS model on Cayley trees: 4-periodic boundary laws
- Mathematical analysis of nonlinear integral boundary value problem of proportional delay implicit fractional differential equations with impulsive conditions
- Gam-mate: Gamification Applied to an Undergrad Discrete Math Course
- Solitary wave solutions for the KdV-type equations in plasma: a new approach with the Kudryashov function
- Approximate Numerical solutions for the nonlinear dispersive shallow water waves as the Fornberg–Whitham model equations
- Solitons and other solutions of perturbed nonlinear Biswas–Milovic equation with Kudryashov’s law of refractive index
- Applications of Math Microscope in the Event Horizon Telescope
- Optical solitons to a perturbed Gerdjikov-Ivanov equation using two different techniques
- Soliton interaction control through dispersion and nonlinear effects for the fifth-order nonlinear Schrödinger equation
- Semiclassical spectral analysis of the Bochner–Schrödinger operator on symplectic manifolds of bounded geometry
- Exponentially confining potential well
- New spaces in mathematics: Formal and conceptual reflections
- Real scalar phase transitions: a nonperturbative analysis
- On the Zakharov–Mikhailov action: 4 d Chern–Simons origin and covariant Poisson algebra of the Lax connection
- New characterization of the weak disorder phase of directed polymers in bounded random environments
- Crystallographic texture and group representations
- On Some Properties of Pell Polynomials
- Modular categories are not determined by their modular data
- New vision for the soliton solutions to the complex Hirota-dynamical model
- Dynamical behaviour of Chiral nonlinear Schrödinger equation
- Neuro-swarms intelligent computing using Gudermannian kernel for solving a class of second order Lane-Emden singular nonlinear model
- Numerical Calabi-Yau metrics from holomorphic networks
- Dimension-free entanglement detection in multipartite Werner states
- The dawning of a new era in applied mathematics
- Hessian metric via transport information geometry
- Propagation of wave solutions of nonlinear Heisenberg ferromagnetic spin chain and Vakhnenko dynamical equations arising in nonlinear water wave models
- Novikov equation: Bäcklund transformation and applications
- Physically significant wave solutions to the Riemann wave equations and the Landau-Ginsburg-Higgs equation
- Privacy amplification and decoupling without smoothing
- Sharp dimension estimates for the attractors of the regularized damped Euler system
- New solitary wave solutions to the coupled Maccari’s system
- Irreducible Metric Maps and Weil–Petersson Volumes
- Numerical evidence for a Haagerup conformal field theory
- Analytical eigenstate solutions of Schrödinger equation with noncentral generalized oscillator potential by extended Nikiforov-Uvarov method
- Dynamical behaviors to the coupled Schrödinger-Boussinesq system with the beta derivative
- Variational method for solving the boundary value problem of hydrodynamics
- Practical analytical approaches for finding novel optical solitons in the single-mode fibers
- Regularity of solutions of elliptic equations in divergence form in modified local generalized Morrey spaces
- KP integrability of triple Hodge integrals. III. Cut-and-join description, KdV reduction, and topological recursions
- Constrained Toda hierarchy and turning points of the Ruijsenaars–Schneider model
- Temperature and entropy–area relation of quantum matter near spherically symmetric outer trapping horizons
- On the second realization for the positive part of U q ( sl 2 ^ ) of equitable type
- Computational intelligence approach using Levenberg–Marquardt backpropagation neural networks to solve the fourth-order nonlinear system of Emden–Fowler …
- Bäcklund transformation, Pfaffian, Wronskian and Grammian solutions to the ( 3 + 1 ) -dimensional generalized Kadomtsev–Petviashvili equation
- Spatial Wilson loops in a fully anisotropic model
- Modular operator for null plane algebras in free fields
- Derivations with Values in the Ideal of τ -Compact Operators Affiliated with a Semifinite von Neumann Algebra
- Extractions of travelling wave solutions of (2+ 1)-dimensional Boiti–Leon–Pempinelli system via (Gʹ/G, 1/G)-expansion method
- Learning Size and Shape of Calabi-Yau Spaces
- Traveling wave solutions to the nonlinear evolution equation using expansion method and addendum to Kudryashov’s method
- Different wave structures to the Chen–Lee–Liu equation of monomode fibers and its modulation instability analysis
- Traveling wave, lump wave, rogue wave, multi-kink solitary wave and interaction solutions in a (3+ 1)-dimensional Kadomtsev-Petviashvili equation with …
- A novel integrable fourth-order difference equation admitting three invariants
- Ostwald ripening in the presence of simultaneous occurrence of various mass transfer mechanisms: an extension of the Lifshitz–Slyozov theory
- Generating random quantum channels
- New Exact Soliton Solutions of the ()-Dimensional Conformable Wazwaz–Benjamin–Bona–Mahony Equation via Two Novel Techniques
- A note on odd reflections of super Yangian and Bethe ansatz
- Soliton solutions of deformed nonlinear Schrödinger equations using ansatz method
- Quantum physics needs complex numbers
- Extractions of some new travelling wave solutions to the conformable Date-Jimbo-Kashiwara-Miwa equation
- A neuro-swarming intelligent heuristic for second-order nonlinear Lane–Emden multi-pantograph delay differential system
- Fluctuations of linear eigenvalue statistics of reverse circulant and symmetric circulant matrices with independent entries
- Tree-level unitarity in Higgs inflation in the metric and the Palatini formulation
- On the closedness and geometry of tensor network state sets
- Immeasurable soliton solutions and enhanced (G’/G)-expansion method
- Approximate Recovery and Relative Entropy I: General von Neumann Subalgebras
- Justifying Kubo’s formula for gapped systems at zero temperature: A brief review and some new results
- Cosmological models based on a statistical system of scalar charged degenerate fermions and an asymmetric Higgs scalar doublet
- Quantum broadcast channels with cooperating decoders: An information-theoretic perspective on quantum repeaters
- Legacy of Lance M Optican: from math to medical science and back
- Linear and nonlinear effects analysis on wave profiles in optics and quantum physics
- Some inverse problems for the hyperbolic equation
- A master exceptional field theory
- Mathbert: A pre-trained model for mathematical formula understanding
- Integrable generalized Heisenberg ferromagnet equations in 1+ 1 dimensions: reductions and gauge equivalence
- The unified method for abundant soliton solutions of local time fractional nonlinear evolution equations
- Hypergraph min-cuts from quantum entropies
- Evaluation of mathematical solutions for the determination of buckling of columns under self-weight
- The impact of a lack of mathematical education on brain development and future attainment
- Twistorial cohomotopy implies Green–Schwarz anomaly cancellation
- Novel soliton wave solutions of the vakhnenko–parkes equation arising in the relaxation medium
- On the solitary wave solutions and physical characterization of gas diffusion in a homogeneous medium via some efficient techniques
- Asymptotic distribution of eigenvalues and eigenfunctions of a nonlocal boundary value problem
- SO (9) characterization of the standard model gauge group
- Deformations and homotopy theory of relative Rota–Baxter Lie algebras
- Math and Science Integrated Curriculum: Pedagogical Knowledge-Based Education Framework
- Uniformization and constructive analytic continuation of Taylor series
- Continuum limit for lattice Schrödinger operators
- -soliton solutions and localized wave interaction solutions of a -dimensional potential-Yu–Toda–Sasa–Fukuyamaf equation
- Doing the Math
- Correction to: The dependence on the monodromy data of the isomonodromic tau function
- Bundle geometry of the connection space, covariant Hamiltonian formalism, the problem of boundaries in gauge theories, and the dressing field method
- The symmetry-preserving difference schemes and exact solutions of some high-dimensional differential equations
- The influence of non-stationarity and interphase curvature on the growth dynamics of spherical crystals in a metastable liquid
- Exact solutions of the nonlocal Gerdjikov-Ivanov equation
- Playing with the index of M-theory
- Geometric quantization via cotangent models
- Nodal solutions for the Kirchhoff-Schrödinger-Poisson system in
- Finite Dimensional Dynamics of Evolutionary Equations with Maple
- Bright, dark, kink, singular and periodic soliton solutions of Lakshmanan–Porsezian–Daniel model by generalized projective Riccati equations method
- Synchronous linear constraint system games
- Expander random walks: A fourier-analytic approach
- Dynamical spin chains in 4D N = 2 SCFTs
- Study on the Biswas–Arshed equation with the beta time derivative
- From a locality-principle for new physics to image features of regular spinning black holes with disks
- Non-asymptotic behavior of the spectrum of the sinc-kernel operator and related applications
- Exponential dichotomies of a stochastic non-classical equation on a two-dimensional sphere
- The -deformations of associative Rota–Baxter algebras and homotopy Rota–Baxter operators
- New exact traveling wave solutions of the unstable nonlinear Schrödinger equations and their applications
- On the dynamics of strong Langmuir turbulence through the five recent numerical schemes in the plasma physics
- Starlike functions associated with the generalized Koebe function
- An investigation to the nonlinear (2+ 1)-dimensional soliton equation for discovering explicit and periodic wave solutions
- Propagation of singularities for subelliptic wave equations
- An efficient stochastic numerical computing framework for the nonlinear higher order singular models
- Consensus based sampling
- Applying a mathematical sense-making framework to student work and its potential for curriculum design
- Riemann–Hilbert problems and inverse scattering of nonlocal real reverse-spacetime matrix AKNS hierarchies
- An analytical technique implemented in the fractional Clannish Random Walker’s Parabolic equation with nonlinear physical phenomena
- Matrix Painlevé II equations
- Solution of the Problem of the Motion of a Disperse Inclusion in a Fluid with Account for the “Hereditary” Basset Force
- Analysis of transient thermal distribution in a convective–radiative moving rod using two-dimensional differential transform method with multivariate Pade approximant
- Accessory parameters in confluent Heun equations and classical irregular conformal blocks
- Teaching hardy-weinberg equilibrium using population-level punnett squares: Facilitating calculation for students with math anxiety
- On a determination of the coefficients of the second order hyperbolic equation with discontinuous solution
- The math is not the territory: navigating the free energy principle
- Fractional Schrödinger Equation with Singular Potentials of Higher Order
- STEM-E: Fostering mathematical creative thinking ability in the 21st Century
- Analysis of a discrete mathematical COVID-19 model
- Nonlinear self-adjointness, conserved vectors, and traveling wave structures for the kinetics of phase separation dependent on ternary alloys in iron (Fe-Cr-Y …
- Narain to Narnia
- Advances in transport phenomena with nanoparticles and generalized thermal process for vertical plate
- A new mathematical model of COVID-19 using real data from Pakistan
- Symmetry reductions and invariant-group solutions for a two-dimensional Kundu–Mukherjee–Naskar model
- Regularization of the ill-posed Cauchy problem for matrix factorizations of the Helmholtz equation on the plane
- Nonlinear radiation gauge for near Kerr spacetimes
- Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation
- The F p -Selberg integral of type A n
- Variational approach to relative entropies with an application to QFT
- On a regular Sturm-Liouville problem on a finite interval with the eigenvalue parameter appearing linearly in the boundary conditions
- The ability to solve mathematical problems through realistic mathematics learning based on ethnomathematics
- Novel approach to the analysis of fifth-order weakly nonlocal fractional Schrödinger equation with Caputo derivative
- Dispersive soliton solutions for shallow water wave system and modified Benjamin-Bona-Mahony equations via applications of mathematical methods
- Dynamics of soliton solutions in saturated ferromagnetic materials by a novel mathematical method
- Heat and Energy Consumption Management of a Public Object
- A novel design of Gudermannian function as a neural network for the singular nonlinear delayed, prediction and pantograph differential models
- Regular Solutions of the Stationary Navier–Stokes Equations on High Dimensional Euclidean Space
- Inverse scattering and soliton solutions of nonlocal reverse-spacetime nonlinear Schrödinger equations
- Selection of online tools for creating math tests
- Verification of mixing properties in two-dimensional shifts of finite type
- Construction of functional closed form wave solutions to the ZKBBM equation and the Schrödinger equation
- Investigation on Ginzburg-Landau equation via a tested approach to benchmark stochastic Davis-Skodje system
- The Higgs mechanism in nonlocal field theory
- Long-time asymptotics for the spin-1 Gross–Pitaevskii equation
- Boundary conformal field theory at the extraordinary transition: The layer susceptibility to O (ε)
- Dynamics of optical solitons and nonautonomous complex wave solutions to the nonlinear Schrodinger equation with variable coefficients
- New methods in spectral theory of -body Schrödinger operators
- On the importance of conjugation relations in fractional calculus
- Solutions to the Konopelchenko-Dubrovsky equation and the Landau-Ginzburg-Higgs equation via the generalized Kudryashov technique
- Free fermions behind the disguise
- Existence of solutions for singular double phase problems via the Nehari manifold method
- Dynamical behaviors of various optical soliton solutions for the Fokas–Lenells equation
- Stable and functional solutions of the Klein-Fock-Gordon equation with nonlinear physical phenomena
- Around spin Hurwitz numbers
- Emergent behaviors of Cucker–Smale flocks on the hyperboloid
- Twistor space origins of the Newman-Penrose map
- New optical soliton solutions for the thin-film ferroelectric materials equation instead of the numerical solution
- The double copy of the multipole expansion
- A Compactness Result for the div-curl System with Inhomogeneous Mixed Boundary Conditions for Bounded Lipschitz Domains and Some Applications
- New structures for closed-form wave solutions for the dynamical equations model related to the ion sound and Langmuir waves
- Mathematical views of the fractional Chua’s electrical circuit described by the Caputo-Liouville derivative
- New perception of the exact solutions of the 3D-fractional Wazwaz-Benjamin-Bona-Mahony (3D-FWBBM) equation
- The solution of the deep Boltzmann machine on the Nishimori line
- Fundamental solutions for the conformable time fractional Phi-4 and space-time fractional simplified MCH equations
- Jacobi ensemble, Hurwitz numbers and Wilson polynomials
- A predicted mathematical cancer tumor growth model of brain and its analytical solution by reduced differential transform method
- Study of the parametric effect of self-control waves of the Nizhnik-Novikov-Veselov equation by the analytical solutions
- C ∗ -fermi systems and detailed balance
- Multi–solitons, lumps, and breath solutions of the water wave propagation with surface tension via four recent computational schemes
- Anisotropic solutions for a holographic heavy-quark model with an external magnetic field
- The compatibility dimension of quantum measurements
- Bosonic collective excitations in Fermi gases
- Plenty of soliton solutions to the DNA Peyrard-Bishop equation via two distinctive strategies
- Optical soliton solutions of the generalized non-autonomous nonlinear Schrödinger equations by the new Kudryashov’s method
- Global solutions to the n-dimensional incompressible Oldroyd-B model without damping mechanism
- The energy of dilute Bose gases II: The general case
- Optical soliton solutions for the coupled conformable Fokas–Lenells equation with spatio-temporal dispersion
- Limiting absorption principle and equivalence of Feynman propagators on asymptotically Minkowski spacetimes
- New diverse variety for the exact solutions to Keller-Segel-Fisher system
- Representations of involutory subalgebras of affine Kac–Moody algebras
- Heuristic computational design of Morlet wavelet for solving the higher order singular nonlinear differential equations
- New solutions to the differential-difference KP equation
- Twistorial foundation for the classical double copy
- Mathematical analysis and simulation of a stochastic COVID-19 Lévy jump model with isolation strategy
- Towards understanding the algorithms for solving the Navier–Stokes equations
- THE ROLE OF MATHEMATICAL ISSUES IN IMPROVING THE METHODOLOGICAL TRAINING OF FUTURE MATHEMATICS TEACHERS
- Uniqueness and stability results for Caputo fractional Volterra-Fredholm integro-differential equations
- Jackiw-Teitelboim Gravity from the Karch-Randall Braneworld
- Optimal adaptive strategies for sequential quantum hypothesis testing
- Reaction-driven relaxation in three-dimensional Keller–Segel–Navier–Stokes interaction
- Nonlinear acoustic wave structures to the Zabolotskaya-Khokholov dynamical model
- Dynamics of nonlinear wave propagation to coupled nonlinear Schrödinger-type equations
- Hilbert series, machine learning, and applications to physics
- Twisted cohomotopy implies twisted String structure on M5-branes
- Surface defects in gauge theory and KZ equation
- Affine super Yangians and rectangular W-superalgebras
- Polynomial tau-functions of the KP, BKP, and the s-component KP hierarchies
- Existence analysis of a stationary compressible fluid model for heat-conducting and chemically reacting mixtures
- Rational Lax matrices from antidominantly shifted extended Yangians: BCD types
- Introduction to the special issue on emergent hydrodynamics in integrable many-body systems
- Rigorously Computed Enumerative Norms as Prescribed through Quantum Cohomological Connectivity over Gromov–Witten Invariants. TechRxiv
- The Gaussian soliton in the Fermi–Pasta–Ulam chain
- Integrable generalized Heisenberg ferromagnet equations with self-consistent potentials and related Yajima-Oikawa type equations
- Mean value properties of solutions to the Helmholtz and modified Helmholtz equations
- Initial data rigidity results
- … of problem-based learning trends in 2010-2020: A meta-analysis study of the effect of problem-based learning in enhancing mathematical problem-solving skills of …
- Geometric Rényi divergence and its applications in quantum channel capacities
- Fundamental stochastic solutions for the conformable fractional NLSE with spatiotemporal dispersion via exponential distribution
- DeepGreen: Deep learning of Green’s functions for nonlinear boundary value problems
- Analytical mathematical approaches for the double-chain model of DNA by a novel computational technique
- Twisted Cohomotopy implies M5-brane anomaly cancellation
- The Impact of the Wiener process on the analytical solutions of the stochastic (2+ 1)-dimensional breaking soliton equation by using tanh–coth method
- Динамик системаларнинг тарихи ва фазали портретларини чизиш йўллари ҳақида
- Classification of translation invariant topological Pauli stabilizer codes for prime dimensional qudits on two-dimensional lattices
- Short time large deviations of the KPZ equation
- On the approximate solutions for a system of coupled Korteweg–de Vries equations with local fractional derivative
- Optical envelope patterns in nonlinear media modeled by the Lakshmanan–Porsezian–Daniel equation
- Novel symmetric numerical methods for solving symmetric mathematical problems
- The applications of some basic mathematical inequalities on the convergence of the primitive equations of moist atmosphere
- A Hermitian TQFT from a non-semisimple category of quantum sl ( 2 ) -modules
- Self-adjointness in Klein-Gordon theory on globally hyperbolic spacetimes
- Explicit rational solutions for time-space fractional nonlinear equation describing the propagation of bidirectional waves in low-pass electrical lines
- New optical soliton solutions via two distinctive schemes for the DNA Peyrard–Bishop equation in fractal order
- Conformal scattering and the Goursat problem for Dirac fields in the interior of charged spherically symmetric black holes
- Isotropic Grassmannians, Plücker and Cartan maps
- Scalars are universal: Equivariant machine learning, structured like classical physics
- On some mathematical properties of Sombor indices
- Differential equation for partition functions and a duality pseudo-forest
- Айрим иррационал тенгламаларни ечишда интерфаол усулларни қўлланилиши
- Abundant wave solutions of conformable space-time fractional order fokas wave model arising in physical sciences
- Kadomtsev–Petviashvili turning points and CKP hierarchy
- Some new families of exact solitary wave solutions of the Klein–Gordon–Zakharov equations in plasma physics
- Non-abelian infrared divergences on the celestial sphere
- Derivation and simulation of the M-lump solutions to two (2+ 1)-dimensional nonlinear equations
- Geodesic networks in Liouville quantum gravity surfaces
- Optimal Local Law and Central Limit Theorem for β -Ensembles
- A hierarchy of nonlocal nonlinear evolution equations and∂ ̄-dressing method
- Numerical solutions of time-fractional Klein-Gordon equations by clique polynomials
- Density and positive mass theorems for initial data sets with boundary
- Comparison of Finite-Difference Schemes for the Burgers Problem
- On the matrix version of extended Bessel functions and its application to matrix differential equations
- Random processes in the brain: From experimental data to Math and back
- BMS charges without supertranslation ambiguity
- Derivation and simulation of the M-lump solutions to two (2+ 1)-dimensional nonlinear equations
- Geodesic networks in Liouville quantum gravity surfaces
- Optimal Local Law and Central Limit Theorem for β -Ensembles
- A hierarchy of nonlocal nonlinear evolution equations and∂ ̄-dressing method
- Numerical solutions of time-fractional Klein-Gordon equations by clique polynomials
- Density and positive mass theorems for initial data sets with boundary
- Comparison of Finite-Difference Schemes for the Burgers Problem
- On the matrix version of extended Bessel functions and its application to matrix differential equations
- Random processes in the brain: From experimental data to Math and back
- BMS charges without supertranslation ambiguity
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