Theoretical and Mathematical Physics

Article	Citations
Existence and stability of stationary solutions with boundary layers in a system of fast and slow reaction–diffusion–advection equations with KPZ nonlinearities	59
Shanks extrapolation method and exact solutions of equations of nonlinear mathematical physics	25
Local dynamics of equation with periodically distributed delay	22
On the first Newton law, the existence of the reference system corresponding to the rest, and the Galilei group	20
Dynamics of kink-soliton solutions of the $$(2+1)$$-dimensional sine-Gordon equation	19
The existence proof for forced oscillations by adding dissipative forces in the example of a spherical pendulum	15
Elliptic families of solutions of the constrained Toda hierarchy	14
Homothetic vector fields of LRS Bianchi type-I spacetimes via the RIF tree approach	13
Relaxing solitons of a biaxial ferromagnet	12
On one interpolation inequality and its application to the Bürgers equation	11
Symmetry transformations of the vortex field statistics in optical turbulence	10
Dynamics of three-dimensional magnetic structures in the Heisenberg model	10
Riemann–Hilbert approach to coupled nonlinear Schrödinger equations on a half-line	10
The focusing coupled modified Korteweg–de Vries equation with nonzero boundary conditions: the Riemann–Hilbert problem and soliton classification	9
Nonlinear dynamics of a two-axis ferromagnet on the semiaxis	9
Extensions of Yang–Baxter sets	9
Long-time asymptotic behavior and bound state soliton solutions for a generalized derivative nonlinear Schrödinger equation	8
Dimensional reduction of nonlinear differential equations on homogeneous spaces	8
Nonstandard Lagrangians for a real scalar field and a fermion field from the nonuniqueness principle	8
Feynman integral in QFT and white noise on a compactified version of space–time with a Lie group structure	8
On alleged solutions of the cubically nonlinear Schrödinger equation	7
Implications of generalized Compton wavelength in the effects of general relativity	7
Integral problem for Schrödinger-type equations with the general elliptic part	7
Periodic traveling waves in a nonlocal erosion equation	7
Universality of stochastic Laplacian growth	7

Topological meaning of the slope of the Kolmogorov spectrum of magnetic turbulence	7
Minimal realizations and scaling invariance of the discrete KP hierarchy and its strict version	7
Hall current and MHD impacts on a 3D Maxwell nanofluid flow across a porous stretching surface	7
Review of exact solutions and reductions of Monge–Ampère type equations	7
Quantum adiabatic theorem with energy gap regularization	7
Energy–momentum tensor of a causally disconnected region of the Universe, the cosmological constant, and the inflationary model	7
Nonexplicit versions of integrable equations	6
Riemann–Hilbert approach and $$N$$-soliton solutions of the generalized mixed nonlinear Schrödinger equation	6
Asymptotic solutions of the quantum scattering problem for binary collisions in a system of three charged particles. The inclusion of the dipole interaction	6
Fractional multiple trapping model of time-of-flight transient photocurrents in amorphous semiconductors	6
Stability of a stationary solution of a system of activator–inhibitor-type equations with a double-scale internal transition layer	6
From the Wigner function to the $$s$$-ordered phase-space distribution via a Gaussian noise channel	6
Approximate analytic solution of the Logunov–Tavkhelidze equation for a one-dimensional oscillator potential in the relativistic configuration representation	6
Recent progress in the theory of functions of several complex variables and complex geometry	5
On the properties of solutions of a system of two nonlinear differential equations associated with the Josephson model	5
Néel temperature of a quasi-two-dimensional triangular-lattice antiferromagnet	5
Constrained discrete KP hierarchy: The constraint on the tau functions and gauge transformations	5
Functional integrals and phase stability properties in the $$O(N)$$ vector field condensation model	5
Rogue waves of the $$(2+1)$$-dimensional integrable reverse space–time nonlocal Schrödinger equation	5
Superstatistical properties of the Dirac oscillator with gamma, lognormal, and F distributions	5
Evolution of plane perturbations in the cosmological environment of the Higgs scalar field and an ideal scalar-charged fluid	5
On the unique solvability of the div–curl problem in unbounded domains and energy estimates of solutions	5
Some new methods for studying boundary value problems for general partial differential equations	5
On Dirichlet problem	5
Complex energies and the Lambert $$W$$ function	5
Derivative forms of the three-component nonlinear Schrödinger equation and their simplest solutions	5
Gibbs measures for the Potts model with a countable set of spin values on a Cayley tree	5
Symmetries of the multicomponent $$q$$-KP hierarchy on a Grassmannian	5
Stationary thermal front in the problem of reconstructing the semiconductor thermal conductivity coefficient using simulation data	5
Magnetohydrodynamic unsteady rotating Casson fluid flow with Hall and ion-slip impacts	4
Multidimensional Zaremba problem for the $$p(\,\cdot\,)$$-Laplace equation. A Boyarsky–Meyers estimate	4
Gateway-like absurdly benign traversable wormhole solutions	4
Hamiltonian mapping and quantum perturbation equations in the point matter black hole and noncommutative black hole models	4
Study of small perturbations of a stationary state in a model of upper hybrid plasma oscillations	4
The description of generalized translation-invariant $$p$$-adic Gibbs measures for the Potts model on the Cayley tree of order three	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
Entanglement entropy of a near-extremal black hole	4
Using the Kantorovich–Galerkin approach to analyze the resonant characteristics of damped systems	4
A new solvable two-matrix model and the BKP tau function	4
Fermionic fields in a four-dimensional $$\Lambda$$ Bonnor–Melvin space–time	4
The $$\pm J$$ distribution in the mixed spin-$$1/2$$ and $$5/2$$ Blume–Capel model	4
Generalized uncertainty relations, particles, black holes, and Casimir effect in the three-dimensional quantum vacuum	4
Analytical properties of the spectral problem for the internal gravity waves equation with shear flows under critical wave generation modes	4
Stabilization of the front in a medium with discontinuous characteristics	4
Nonabelian fermionic T-duality for the fundamental string	4
Second-order quantum argument shifts in $$Ugl_d$$	4
On the group-theoretical approach to relativistic wave equations for arbitrary spin	4
Modular-type nonlinearity in the modeling of tumor spheroid growth	4
Dynamics of a three species syn-ecological ammensalsim model: A stochastic approach	4
Green–Kubo formula for electrical conductivity of a driven $$0$$–$$\pi$$ qubit	4

Quasi-Grammian soliton and kink dynamics of an $$M$$-component semidiscrete coupled integrable system	4
Influence of quark–gluon string interactions on particle correlations in p+p collisions	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
Cauchy problem for a nonlinear Schrödinger equation with a large initial gradient in the weakly dispersive limit	4
The structure of quantum corrections and exact results in supersymmetric theories from the higher covariant derivative regularization	4
Solutions of the analogues of time-dependent Schrödinger equations corresponding to a pair of $$H^{3+2}$$ Hamiltonian systems	4
Bose gas modeling of the Schwarzschild black hole thermodynamics	4
Study of a flat universe using the FRW model	4
On solutions of matrix soliton equations	3
Two-species reaction–diffusion system in the presence of random velocity fluctuations	3
Strong decays of the charmonium-like state $$Y(4230)$$ and radiative transitions of low-lying charmoniums	3
Minimal algebraic solutions of the sixth Painlevé equation	3
Lotka–Volterra model with mutations and generative adversarial networks	3
Nonlocal abstract Ginzburg–Landau-type equations and applications	3
Infinitely many rotating periodic solutions for damped vibration systems	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
Hall current and thermal diffusion effects on an unsteady MHD free convection flow of non-Newtonian fluid	3
Superpositions of coherent states determined by Gauss sums	3
On symmetries of the nonstationary $$\mathrm{P}_\mathrm{II}^{(n)}$$ hierarchy and their applications	3
Black brane/Bose gas duality and the third law of thermodynamics	3
On partially hyperbolic symplectic automorphisms of a 6-torus	3
On the geometric anatomy of a nonwandering continuum possessing the Wada property	3
The general fifth-order nonlinear Schrödinger equation with nonzero boundary conditions: Inverse scattering transform and multisoliton solutions	3
On the $$k$$th higher Nash blow-up derivation Lie algebras of isolated hypersurface singularities	3
Implicit quiescent solitons in optical metamaterials with an array of self-phase modulation structures by Lie symmetry	3
Noether charge, thermodynamics and phase transition of a black hole in the Schwarzschild– anti-de Sitter–Beltrami spacetime	3
On the Hirota equation with a self-consistent source	3
Lie group geometry: Riemann and Ricci tensors and normal forms of Lie algebras	3
Nonlinearity in the inverse problems of orbital dynamics using the example of potentially hazardous asteroids and outer satellites of Jupiter	3
Algebraic structures behind the Yang–Baxterization process	3
Bernoulli shifts in predator–prey mappings	3
Euler’s difference table and the decomposition of tensor powers of the adjoint representation of the $$A_n$$ Lie algebra	3
Solution of the fractional Liouville equation by using Riemann–Liouville and Caputo derivatives in statistical mechanics	3
Discrete second-order Ablowitz–Kaup–Newell–Segur equation and its modified form	3
Hybrid FEM-neural network approach to radiative slip flow of TiO$$_2$$–SiO$$_2$$ nanofluid over stretching surfaces	3
Butterfly velocity and chaos suppression in de Sitter space	3
Cauchy matrix approach to the noncommutative Kadomtsev–Petviashvili equation with self-consistent sources	3
Investigation of the transition to instability of the water boiling front during injection into a geothermal reservoir	3
Uniqueness of the Pohlmeyer–Lund–Regge system	3
On the uniqueness problem for a central invariant manifold	3
$$n$$-valued quandles and associated bialgebras	3
Hamiltonian dynamics of a spaceship in Alcubierre and Gödel metrics: Recursion operators and underlying master symmetries	3
Higher spins in harmonic superspace	3
Einstein–dilaton-four–Maxwell holographic anisotropic models	3
Periodic solutions of a differential equation with a discontinuous delayed neutral-type feedback	3
On modified $$B$$KP systems and generalizations	2
Equivalence of two constructions for $$\widehat{sl}_2$$-integrable hierarchies	2
Nonlocality, integrability, and solitons	2
A $$\bar{\partial}$$-method for the $$(2+1)$$-dimensional coupled Boussinesq equation and its integrable extension	2
Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation	2
Self-gravitating Higgs field of scalar charge	2
Composite operators of stochastic model A	2
Three-loop $$\beta$$-functions and NSVZ relations for the MSSM regularized by higher covariant derivatives	2
Rational solutions of nonautonomous quadrilateral equations by the bilinearization of Bäcklund transformation systems	2
Quantum Coulomb problem in a Gaussian time-dependent electric field within the path integral formalism	2
Cycles with the embedded bursting effect in a circle of neural oscillators	2
On periodic Gibbs measures of the Ising model corresponding to new subgroups of the group representation of a Cayley tree	2
On the problem of classifying integrable chains with three independent variables	2
Darboux transformation for the defocusing modified complex short-pulse equation and its multi-dark-soliton solutions	2
Multi-pole extension of the elliptic models of interacting integrable tops	2
Cauchy matrix scheme for semidiscrete lattice Korteweg–de Vries-type equations	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
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
Machine learning of the well-known things	2
Periodic Gibbs measures for the three-state SOS model on a Cayley tree with a translation-invariant external field	2
Tau-function of the B-Toda hierarchy	2
On Poincaré–Birkhoff–Witt basis of the quantum general linear superalgebra	2
Kinetic coefficients in a time-dependent Green’s function formalism at finite temperature	2
Quasiperiodic solutions of an extended MKdV hierarchy	2
Asymptotics of the spectrum of a Hartree-type operator with a screened Coulomb self-action potential near the upper boundaries of spectral clusters	2
On the combination of Lebesgue and Riemann integrals in theory of convolution equations	2
Similarity of cosmological models and its application to the analysis of cosmological evolution	2
Integration of the Kaup–Boussinesq system with time-dependent coefficients	2
Mirror map for Fermat polynomials with a nonabelian group of symmetries	2
On Killing tensors in three-dimensional Euclidean space	2
Application of the trigonal curve to a hierarchy of generalized Toda lattices	2
Integration of a defocusing nonlinear Schrödinger equation with additional terms	2
Dynamical description of the phase transition to the superconducting state	2
Structure of the canonical uniton factorization of a solution of a noncommutative unitary sigma model	2

On an alternative stratification of knots	2
Resonance fluorescence of polar quantum systems in a bichromatic field	2
Set-theoretical solutions of the Zamolodchikov tetrahedron equation on associative rings and Liouville integrability	2
On the integrable symplectic map and the $$N$$-soliton solution of the Toda lattice	2
The initial-boundary value for the combined Schrödinger and Gerdjikov–Ivanov equation on the half-line via the Riemann–Hilbert approach	2
Lagrangian BRST formulation of massive higher-spin fields of the general symmetry type	2
Magnetohydrodynamic flow through a porous medium in a coaxial circular duct	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
A direct method for solving Lax equations	2
The emergence of Airy stress function in two-dimensional disordered packings of particles	2
Duffin–Kemmer–Petiau oscillator in topologically charged Ellis–Bronnikov-type wormhole	2
Two-dimensional Dirac oscillator in a magnetic field in deformed phase space with minimal-length uncertainty relations	2
A new stability equation for the Abelian Higgs–Kibble model with a dimension-6 derivative operator	2
The Hankel determinant for a semiclassical Laguerre unitary ensemble, Painlevé IV and Heun equations	2
Exact smooth and nonsmooth solutions for integro-partial differential equations by rapidly convergent approximation method	2
A nonlocal finite-dimensional integrable system related to the nonlocal mKdV equation	2
Solution of double and triple sine-Gordon equations	2
Coefficient reconstruction problem for the two-dimensional viscoelasticity equation in a weakly horizontally inhomogeneous medium	2
Unitary representation of walks along random vector fields and the Kolmogorov–Fokker–Planck equation in a Hilbert space	2
Geometry and quasiclassical quantization of magnetic monopoles	2
Solving the missing baryon problem: A review of observational and theoretical advances	1
On the integrability of a four-component super system	1
Collective transformations of quantum states with postselection and their application to quantum cryptography	1
Riemann–Hilbert approach and $$N$$-soliton solutions of the two-component Kundu–Eckhaus equation	1
On the blow-up of the solution of a $$(1+1)$$-dimensional thermal–electrical model	1
Generating quantum dynamical mappings	1
Spectral asymptotics of a non-self-adjoint fourth-order operator with periodic boundary conditions	1
Adiabatic perturbation theory for the vector nonlinear Schrödinger equation with nonvanishing boundary conditions	1
Effects of thermo physical aspects of radiant-heating on an unsteady magnetohydrodynamic hybrid nanofluid flow	1
A class of field equations for neutrinos with nonzero masses	1
The negative symmetry classification problem	1
The impact of the Wiener process on solutions of the potential Yu–Toda–Sasa–Fukuyama equation in a two-layer liquid	1
Elliptic hypergeometric function and $$6j$$-symbols for the $$SL(2,{\mathbb C})$$ group	1
Self-gravitating Higgs field of an asymmetric binary scalar charge	1
Potts model on a Cayley tree: a new class of Gibbs measures	1
Generalized universal characters, generalized B-type universal characters, and generalized symplectic universal characters	1
Comparative analysis of the generalized unified method with some exact solution methods and general solutions of the Biswas–Milovic equation	1
Translation-invariant Gibbs measures for the Ising–Potts model on a second-order Cayley tree	1
On correlators in $$T\overline{T}$$-deformed conformal field theories	1
Measuring the coupling constant of polarized fermions via sound wave spectra	1
Einstein–Maxwell equations: Solution-generating methods as “coordinate” transformations in the solution spaces	1
$$\mathcal S$$-modular transformation of the $$\mathcal N=2$$ superconformal algebra characters	1
Resonance interaction of breathers in the Manakov system	1
Simplifying the large-mass expansion of Feynman integrals	1
The $$p$$-adic Ising model in an external field on a Cayley tree: periodic Gibbs measures	1
Multisoliton and rational solutions for the extended fifth-order KdV equation in fluids with self-consistent sources	1
Effects of aligned magnetic field and thermal radiation on an unsteady MHD Jeffrey nanofluid flow past an isothermal inclined plate	1
Resonant Breit–Wheeler process in a strong electromagnetic field	1
Heterogeneity effect in the statistical analysis of plasma density	1
Multi-point passage probabilities and Green’s functions for SLE$${}_{8/3}$$	1
Monopoles, spectra of overlap fermions, and eta-prime meson in external magnetic fields	1
First triplet four-electron state in the impurity Hubbard model. Three-dimensional case	1
Majorana tower and cellular automaton interpretation of quantum mechanics down to Planck scales	1
Statistical properties of the one-dimensional Dirac oscillator in Rindler space–time	1
Cauchy matrix approach to the nonisospectral and variable-coefficient Kadomtsev–Petviashvili equation	1
Conformal invariance and phenomenology of particle creation: Weyl geometry vs. Riemannian geometry	1
Inverse scattering transform for a nonlocal derivative nonlinear Schrödinger equation	1
Multiple mirrors and the JKLMR conjecture	1
Geometric model of the formation of superdiffusion processes	1
Asymptotic expansions for a class of singular integrals emerging in nonlinear wave systems	1
Cosymmetries of chiral-type systems	1
Local bifurcations and a global attractor for two versions of the weakly dissipative Ginzburg–Landau equation	1
Extremality of translation-invariant Gibbs measures for the $$\lambda$$-model on the binary Cayley tree	1
Cluster variables for affine Lie–Poisson systems	1
Mechanism for the formation of an inhomogeneous nanorelief and bifurcations in a nonlocal erosion equation	1
Boundary control problem for the reaction– advection– diffusion equation with a modulus discontinuity of advection	1
Integration of negative-order modified Korteweg–de Vries equation in a class of periodic functions	1
Fixed points of an infinite-dimensional operator related to Gibbs measures	1
Expansion of hypergeometric functions in terms of polylogarithms with a nontrivial change of variables	1
A new class of spherically symmetric gravitational collapse	1
Darboux transformation and exact solutions of the variable-coefficient nonlocal Gerdjikov–Ivanov equation	1
Erratum to: Boundedness-below conditions for a general scalar potential of two real scalar fields and the Higgs boson	1
Generalizing the holographic fishchain	1
Vector fields and invariants of the full symmetric Toda system	1
Shapovalov elements and Hasse diagrams	1
On contrast structures in a problem of the baretting effect theory	1
Yang–Baxter equation in all dimensions and universal qudit gates	1
Analysis of the asymptotic convergence of periodic solution of the Mackey–Glass equation to the solution of the limit relay equation	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
On a weak periodic internal layer in a problem with a discontinuous reaction	1
Irregular dynamics of internal waves in a weakly stratified fluid in the viscous Benjamin–Ono equation model	1
Exact solutions and Bäcklund transformations for an extended second Painlevé equation	1
Cauchy invariants and exact solutions of nonlinear equations of hydrodynamics	1
$$\text{Spin}^c$$-structures and Seiberg–Witten equations	1
Minimizing the number of heteroclinic curves of a 3-diffeomorphism with fixed points with pairwise different Morse indices	1
Gauge coupling unification in the flipped $$E_8$$ GUT	1
$$\Omega$$-Spectrum in topological phases	1
Chaos game in an extended hyperbolic plane	1
Special solutions of a discrete Painlevé equation for quantum minimal surfaces	1
A characterization of Gibbs semigroups	1
Periodic two-cluster synchronization modes in fully coupled networks of nonlinear oscillators	1
A generalized Crewther relation and the V scheme: analytic results in fourth-order perturbative QCD and QED	1
Majorana fermions, supersymmetry, and thermofield dynamics	1
Asymptotics of the Evans function for subsonic solitary waves in a micropolar electrically conductive elastic medium	1