Theoretical and Mathematical Physics

Article	Citations
Shanks extrapolation method and exact solutions of equations of nonlinear mathematical physics	63
Periodic traveling waves in a nonlocal erosion equation	28
Dynamics of three-dimensional magnetic structures in the Heisenberg model	24
Long-time asymptotic behavior and bound state soliton solutions for a generalized derivative nonlinear Schrödinger equation	23
Relaxing solitons of a biaxial ferromagnet	20
Extensions of Yang–Baxter sets	16
Local dynamics of equation with periodically distributed delay	15
Implications of generalized Compton wavelength in the effects of general relativity	14
Riemann–Hilbert approach to coupled nonlinear Schrödinger equations on a half-line	14
Hall current and MHD impacts on a 3D Maxwell nanofluid flow across a porous stretching surface	12
Elliptic families of solutions of the constrained Toda hierarchy	11
The existence proof for forced oscillations by adding dissipative forces in the example of a spherical pendulum	11
Nonlinear dynamics of a two-axis ferromagnet on the semiaxis	11
On one interpolation inequality and its application to the Bürgers equation	10
Feynman integral in QFT and white noise on a compactified version of space–time with a Lie group structure	10
Symmetry transformations of the vortex field statistics in optical turbulence	10
The focusing coupled modified Korteweg–de Vries equation with nonzero boundary conditions: the Riemann–Hilbert problem and soliton classification	9
Dimensional reduction of nonlinear differential equations on homogeneous spaces	9
Nonstandard Lagrangians for a real scalar field and a fermion field from the nonuniqueness principle	9
Existence and stability of stationary solutions with boundary layers in a system of fast and slow reaction–diffusion–advection equations with KPZ nonlinearities	9
On Darboux integrable equations with non-autonomous first-order integrals	9
Dynamics of kink-soliton solutions of the $$(2+1)$$-dimensional sine-Gordon equation	9
Review of exact solutions and reductions of Monge–Ampère type equations	8
Minimal realizations and scaling invariance of the discrete KP hierarchy and its strict version	8
On the properties of solutions of a system of two nonlinear differential equations associated with the Josephson model	7

Universality of stochastic Laplacian growth	7
Energy–momentum tensor of a causally disconnected region of the Universe, the cosmological constant, and the inflationary model	7
Approximate analytic solution of the Logunov–Tavkhelidze equation for a one-dimensional oscillator potential in the relativistic configuration representation	7
Gibbs measures for the Potts model with a countable set of spin values on a Cayley tree	7
Asymptotic solutions of the quantum scattering problem for binary collisions in a system of three charged particles. The inclusion of the dipole interaction	7
Nonexplicit versions of integrable equations	7
From the Wigner function to the $$s$$-ordered phase-space distribution via a Gaussian noise channel	7
Stability of a stationary solution of a system of activator–inhibitor-type equations with a double-scale internal transition layer	7
Quantum adiabatic theorem with energy gap regularization	7
Transport solutions for biquaternion generalizations of Dirac and Maxwell equations at subluminal speeds and their properties	6
Evolution of plane perturbations in the cosmological environment of the Higgs scalar field and an ideal scalar-charged fluid	6
A new solvable two-matrix model and the BKP tau function	6
On alleged solutions of the cubically nonlinear Schrödinger equation	6
Fractional multiple trapping model of time-of-flight transient photocurrents in amorphous semiconductors	6
Breather, rogue wave, lump, and interaction solutions of the $$(2+1)$$-dimensional generalized nonlocal Mel’nikov system	6
Riemann–Hilbert approach and $$N$$-soliton solutions of the generalized mixed nonlinear Schrödinger equation	6
Derivative forms of the three-component nonlinear Schrödinger equation and their simplest solutions	6
Rogue waves of the $$(2+1)$$-dimensional integrable reverse space–time nonlocal Schrödinger equation	6
Study of a flat universe using the FRW model	5
Symmetries of the multicomponent $$q$$-KP hierarchy on a Grassmannian	5
On Dirichlet problem	5
Recent progress in the theory of functions of several complex variables and complex geometry	5
Complex energies and the Lambert $$W$$ function	5
Magnetohydrodynamic unsteady rotating Casson fluid flow with Hall and ion-slip impacts	5
Constrained discrete KP hierarchy: The constraint on the tau functions and gauge transformations	5
Multidimensional Zaremba problem for the $$p(\,\cdot\,)$$-Laplace equation. A Boyarsky–Meyers estimate	5
Superstatistical properties of the Dirac oscillator with gamma, lognormal, and F distributions	5
Néel temperature of a quasi-two-dimensional triangular-lattice antiferromagnet	5
Dynamics of a three species syn-ecological ammensalsim model: A stochastic approach	5
Stationary thermal front in the problem of reconstructing the semiconductor thermal conductivity coefficient using simulation data	5
Functional integrals and phase stability properties in the $$O(N)$$ vector field condensation model	5
Some new methods for studying boundary value problems for general partial differential equations	5
Discrete symmetries of integrable differential equations	5
On the unique solvability of the div–curl problem in unbounded domains and energy estimates of solutions	5
Modular-type nonlinearity in the modeling of tumor spheroid growth	4
Formation of the region of phase transformations in the case of the conversion of CH$$_4$$ hydrate into CO$$_2$$ hydrate in a porous medium	4
The structure of quantum corrections and exact results in supersymmetric theories from the higher covariant derivative regularization	4
Infinitely many rotating periodic solutions for damped vibration systems	4
Nonlinearity in the inverse problems of orbital dynamics using the example of potentially hazardous asteroids and outer satellites of Jupiter	4
Noether charge, thermodynamics and phase transition of a black hole in the Schwarzschild– anti-de Sitter–Beltrami spacetime	4
The description of generalized translation-invariant $$p$$-adic Gibbs measures for the Potts model on the Cayley tree of order three	4
Cauchy problem for a nonlinear Schrödinger equation with a large initial gradient in the weakly dispersive limit	4
Gateway-like absurdly benign traversable wormhole solutions	4
Analytical properties of the spectral problem for the internal gravity waves equation with shear flows under critical wave generation modes	4
Fermionic fields in a four-dimensional $$\Lambda$$ Bonnor–Melvin space–time	4
Study of small perturbations of a stationary state in a model of upper hybrid plasma oscillations	4
Investigation of the transition to instability of the water boiling front during injection into a geothermal reservoir	4
Second-order quantum argument shifts in $$Ugl_d$$	4
Analytical properties of solutions to nonlinear systems of differential equations associated with some random matrix type models	4
Method for estimating the number of zeros of the spatially one-dimensional Pauli–Jordan–Dirac function on spatial intervals using the Kronecker theorem	4

Stabilization of the front in a medium with discontinuous characteristics	4
Nonabelian fermionic T-duality for the fundamental string	4
Solutions of the analogues of time-dependent Schrödinger equations corresponding to a pair of $$H^{3+2}$$ Hamiltonian systems	4
Using the Kantorovich–Galerkin approach to analyze the resonant characteristics of damped systems	4
Green–Kubo formula for electrical conductivity of a driven $$0$$–$$\pi$$ qubit	4
Tau functions of the UC hierarchy as partition functions of matrix models	4
On the $$k$$th higher Nash blow-up derivation Lie algebras of isolated hypersurface singularities	4
Entanglement entropy of a near-extremal black hole	4
Nonlocal abstract Ginzburg–Landau-type equations and applications	4
On symmetries of the nonstationary $$\mathrm{P}_\mathrm{II}^{(n)}$$ hierarchy and their applications	4
Quasi-Grammian soliton and kink dynamics of an $$M$$-component semidiscrete coupled integrable system	4
Hamiltonian mapping and quantum perturbation equations in the point matter black hole and noncommutative black hole models	4
The $$\pm J$$ distribution in the mixed spin-$$1/2$$ and $$5/2$$ Blume–Capel model	4
Bose gas modeling of the Schwarzschild black hole thermodynamics	4
On partially hyperbolic symplectic automorphisms of a 6-torus	3
Discrete second-order Ablowitz–Kaup–Newell–Segur equation and its modified form	3
Two-species reaction–diffusion system in the presence of random velocity fluctuations	3
Black brane/Bose gas duality and the third law of thermodynamics	3
Lie group geometry: Riemann and Ricci tensors and normal forms of Lie algebras	3
Einstein–dilaton-four–Maxwell holographic anisotropic models	3
Generalized uncertainty relations, particles, black holes, and Casimir effect in the three-dimensional quantum vacuum	3
Higher spins in harmonic superspace	3
Euler’s difference table and the decomposition of tensor powers of the adjoint representation of the $$A_n$$ Lie algebra	3
Cauchy matrix approach to the noncommutative Kadomtsev–Petviashvili equation with self-consistent sources	3
Magnetohydrodynamic flow through a porous medium in a coaxial circular duct	3
On an alternative stratification of knots	3
On solutions of matrix soliton equations	3
Implicit quiescent solitons in optical metamaterials with an array of self-phase modulation structures by Lie symmetry	3
Butterfly velocity and chaos suppression in de Sitter space	3
Strong decays of the charmonium-like state $$Y(4230)$$ and radiative transitions of low-lying charmoniums	3
Hamiltonian dynamics of a spaceship in Alcubierre and Gödel metrics: Recursion operators and underlying master symmetries	3
Minimal algebraic solutions of the sixth Painlevé equation	3
Algebraic structures behind the Yang–Baxterization process	3
On the Hirota equation with a self-consistent source	3
Superpositions of coherent states determined by Gauss sums	3
The general fifth-order nonlinear Schrödinger equation with nonzero boundary conditions: Inverse scattering transform and multisoliton solutions	3
Quasiperiodic solutions of an extended MKdV hierarchy	3
Solution of the fractional Liouville equation by using Riemann–Liouville and Caputo derivatives in statistical mechanics	3
On the uniqueness problem for a central invariant manifold	3
Existence and stability of a stable stationary solution with a boundary layer for a system of reaction–diffusion equations with Neumann boundary conditions	3
Bernoulli shifts in predator–prey mappings	3
Hybrid FEM-neural network approach to radiative slip flow of TiO$$_2$$–SiO$$_2$$ nanofluid over stretching surfaces	3
Hall current and thermal diffusion effects on an unsteady MHD free convection flow of non-Newtonian fluid	3
$$n$$-valued quandles and associated bialgebras	3
On the geometric anatomy of a nonwandering continuum possessing the Wada property	3
Influence of quark–gluon string interactions on particle correlations in p+p collisions	3
Uniqueness of the Pohlmeyer–Lund–Regge system	3
Lotka–Volterra model with mutations and generative adversarial networks	3
Periodic solutions of a differential equation with a discontinuous delayed neutral-type feedback	3
On Poincaré–Birkhoff–Witt basis of the quantum general linear superalgebra	3
Resonance fluorescence of polar quantum systems in a bichromatic field	2
Nonlocality, integrability, and solitons	2
Yang–Baxter equation in all dimensions and universal qudit gates	2
Emptiness formation probability in the one-dimensional Bose gas with attraction	2
Composite operators of stochastic model A	2
On the combination of Lebesgue and Riemann integrals in theory of convolution equations	2
A direct method for solving Lax equations	2
Cauchy invariants and exact solutions of nonlinear equations of hydrodynamics	2
Generalized nonlinear Schrödinger equation for longitudinal deformation waves in an acoustic metamaterial	2
Cauchy matrix approach to the nonisospectral and variable-coefficient Kadomtsev–Petviashvili equation	2
Collective transformations of quantum states with postselection and their application to quantum cryptography	2
Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation	2
Dynamical description of the phase transition to the superconducting state	2
On Killing tensors in three-dimensional Euclidean space	2
Lie algebraic approach to the Hellmann Hamiltonian by considering perturbation method	2
Bases and interbasis expansions in the generalized MIC–Kepler problem in the continuous spectrum and the scattering problem	2
Equivalence of two constructions for $$\widehat{sl}_2$$-integrable hierarchies	2
Exact smooth and nonsmooth solutions for integro-partial differential equations by rapidly convergent approximation method	2
Quantum Coulomb problem in a Gaussian time-dependent electric field within the path integral formalism	2
Three-loop $$\beta$$-functions and NSVZ relations for the MSSM regularized by higher covariant derivatives	2
Cycles with the embedded bursting effect in a circle of neural oscillators	2
Darboux transformation for the defocusing modified complex short-pulse equation and its multi-dark-soliton solutions	2
Two-dimensional Dirac oscillator in a magnetic field in deformed phase space with minimal-length uncertainty relations	2
Self-gravitating Higgs field of scalar charge	2
Coefficient reconstruction problem for the two-dimensional viscoelasticity equation in a weakly horizontally inhomogeneous medium	2
Duffin–Kemmer–Petiau oscillator in topologically charged Ellis–Bronnikov-type wormhole	2
Cauchy matrix scheme for semidiscrete lattice Korteweg–de Vries-type equations	2
Asymptotic expansions for a class of singular integrals emerging in nonlinear wave systems	2
Potts model on a Cayley tree: a new class of Gibbs measures	2
A $$\bar{\partial}$$-method for the $$(2+1)$$-dimensional coupled Boussinesq equation and its integrable extension	2

Effects of thermo physical aspects of radiant-heating on an unsteady magnetohydrodynamic hybrid nanofluid flow	2
Integration of the Kaup–Boussinesq system with time-dependent coefficients	2
Set-theoretical solutions of the Zamolodchikov tetrahedron equation on associative rings and Liouville integrability	2
Application of the trigonal curve to a hierarchy of generalized Toda lattices	2
Vector fields and invariants of the full symmetric Toda system	2
Geometry and quasiclassical quantization of magnetic monopoles	2
Unitary representation of walks along random vector fields and the Kolmogorov–Fokker–Planck equation in a Hilbert space	2
Particle creation in cosmological space–time by a time-varying electric field	2
Error estimates of the Galerkin method for a weakly solvable parabolic equation with a nonlocal-in-time condition for the solution	2
Similarity of cosmological models and its application to the analysis of cosmological evolution	2
Blow-up of the solution to the Cauchy problem for one $$(N+1)$$-dimensional composite-type equation with gradient nonlinearity	2
Machine learning of the well-known things	2
Solution of double and triple sine-Gordon equations	2
First triplet four-electron state in the impurity Hubbard model. Three-dimensional case	2
On the problem of classifying integrable chains with three independent variables	2
Kinetic coefficients in a time-dependent Green’s function formalism at finite temperature	2
The emergence of Airy stress function in two-dimensional disordered packings of particles	2
On periodic Gibbs measures of the Ising model corresponding to new subgroups of the group representation of a Cayley tree	2
Mechanism for the formation of an inhomogeneous nanorelief and bifurcations in a nonlocal erosion equation	2
Nonlinear longitudinal spatially localized deformation waves propagating in a Bishop rod located in a magnetic field and having material damage	2
On a weak periodic internal layer in a problem with a discontinuous reaction	2
Heterogeneity effect in the statistical analysis of plasma density	2
Integration of a defocusing nonlinear Schrödinger equation with additional terms	2
Generating quantum dynamical mappings	2
A new stability equation for the Abelian Higgs–Kibble model with a dimension-6 derivative operator	2
Schrödinger operator in a half-plane with the Neumann condition on the boundary and a singular $$\delta$$-potential supported by two half-lines, and systems of functional-difference equations	2
Structure of the canonical uniton factorization of a solution of a noncommutative unitary sigma model	2
On the integrable symplectic map and the $$N$$-soliton solution of the Toda lattice	2
Rational solutions of nonautonomous quadrilateral equations by the bilinearization of Bäcklund transformation systems	2
A nonlocal finite-dimensional integrable system related to the nonlocal mKdV equation	2
Tau-function of the B-Toda hierarchy	2
Periodic Gibbs measures for the three-state SOS model on a Cayley tree with a translation-invariant external field	2
The Hankel determinant for a semiclassical Laguerre unitary ensemble, Painlevé IV and Heun equations	2
Minimizing the number of heteroclinic curves of a 3-diffeomorphism with fixed points with pairwise different Morse indices	1
Affine super-Yangian and a quantum Weyl groupoid	1
Shapovalov elements and Hasse diagrams	1
Violation of the $$T$$ invariance in the probabilities of spin–flavor transitions of neutrino characterized by a real mixing matrix	1
Simplifying the large-mass expansion of Feynman integrals	1
Classification of solutions of the generalized mixed nonlinear Schrödinger equation	1
$$\text{Spin}^c$$-structures and Seiberg–Witten equations	1
Generalized Darboux transformation and high-order solutions for the modified complex short pulse equation	1
Multi-point passage probabilities and Green’s functions for SLE$${}_{8/3}$$	1
On correlators in $$T\overline{T}$$-deformed conformal field theories	1
A new class of spherically symmetric gravitational collapse	1
Statistical properties of the one-dimensional Dirac oscillator in Rindler space–time	1
Classical $$6j$$-symbols of finite-dimensional representations of the algebra $$\mathfrak{gl}_3$$	1
Expansion of hypergeometric functions in terms of polylogarithms with a nontrivial change of variables	1
Majorana tower and cellular automaton interpretation of quantum mechanics down to Planck scales	1
Monopoles, spectra of overlap fermions, and eta-prime meson in external magnetic fields	1
Generalized universal characters, generalized B-type universal characters, and generalized symplectic universal characters	1
On contrast structures in a problem of the baretting effect theory	1
Review of methods for constructing exact solutions of equations of mathematical physics based on simpler solutions	1
The impact of the Wiener process on solutions of the potential Yu–Toda–Sasa–Fukuyama equation in a two-layer liquid	1
Cosymmetries of chiral-type systems	1
$$\mathcal S$$-modular transformation of the $$\mathcal N=2$$ superconformal algebra characters	1
Riemann–Hilbert approach and $$N$$-soliton solutions of the two-component Kundu–Eckhaus equation	1
Integration of the Hirota equation with time-dependent coefficients	1
$$\Omega$$-Spectrum in topological phases	1
Interrelations between dualities in classical integrable systems and a classical–classical version of the quantum–classical duality	1
Inverse scattering transform for a nonlocal derivative nonlinear Schrödinger equation	1
On the nonclassicality in quantum JT gravity	1
On the integrability of a four-component super system	1
Inelastic photon–photon scattering with neutrino pair formation	1
Solving the missing baryon problem: A review of observational and theoretical advances	1
Nonprobability Gibbs measures for the HC model with a countable set of spin values for a “wand”-type graph on a Cayley tree	1
Quantization of electromagnetic field in the Schwarzschild spacetime	1
Analysis of the asymptotic convergence of periodic solution of the Mackey–Glass equation to the solution of the limit relay equation	1
A class of field equations for neutrinos with nonzero masses	1
Spectral asymptotics of a non-self-adjoint fourth-order operator with periodic boundary conditions	1
Conformal invariance and phenomenology of particle creation: Weyl geometry vs. Riemannian geometry	1
On the blow-up of the solution of a $$(1+1)$$-dimensional thermal–electrical model	1
A generalized Crewther relation and the V scheme: analytic results in fourth-order perturbative QCD and QED	1
On the smoothness of the solution of one nonlinear equation with gradient nonlinearity	1
Anisotropic solution of the holographic model of light quarks with an external magnetic field	1
Elliptic hypergeometric function and $$6j$$-symbols for the $$SL(2,{\mathbb C})$$ group	1
Measuring the coupling constant of polarized fermions via sound wave spectra	1
Geometric model of the formation of superdiffusion processes	1
Quasi-Grammian loop dynamics of a multicomponent semidiscrete short pulse equation	1
Resonant Breit–Wheeler process in a strong electromagnetic field	1
Classification of semidiscrete equations of hyperbolic type. The case of fifth-order symmetries	1
Boundary control problem for the reaction– advection– diffusion equation with a modulus discontinuity of advection	1
Asymptotics of the Evans function for subsonic solitary waves in a micropolar electrically conductive elastic medium	1
Effects of aligned magnetic field and thermal radiation on an unsteady MHD Jeffrey nanofluid flow past an isothermal inclined plate	1
Cluster variables for affine Lie–Poisson systems	1
Erratum to: Boundedness-below conditions for a general scalar potential of two real scalar fields and the Higgs boson	1
The negative symmetry classification problem	1
Comparative analysis of the generalized unified method with some exact solution methods and general solutions of the Biswas–Milovic equation	1
Adiabatic perturbation theory for the vector nonlinear Schrödinger equation with nonvanishing boundary conditions	1
Integration of the generalized Camassa–Holm equation in the class of periodic functions	1
The $$p$$-adic Ising model in an external field on a Cayley tree: periodic Gibbs measures	1
Self-gravitating Higgs field of an asymmetric binary scalar charge	1
Local bifurcations and a global attractor for two versions of the weakly dissipative Ginzburg–Landau equation	1
Asymptotic solution convergence to a traveling wave in the Kolmogorov–Petrovskii–Piskunov equation	1
Fluorescence of incoherently pumped open polar quantum system driven by a nonresonant pulse	1
Translation-invariant Gibbs measures for the Ising–Potts model on a second-order Cayley tree	1