Theoretical and Mathematical Physics

Article	Citations
Implications of generalized Compton wavelength in the effects of general relativity	58
Nonstandard Lagrangians for a real scalar field and a fermion field from the nonuniqueness principle	20
Local dynamics of equation with periodically distributed delay	18
On the first Newton law, the existence of the reference system corresponding to the rest, and the Galilei group	18
Dynamics of kink-soliton solutions of the $$(2+1)$$-dimensional sine-Gordon equation	16
Elliptic families of solutions of the constrained Toda hierarchy	15
The existence proof for forced oscillations by adding dissipative forces in the example of a spherical pendulum	15
Homothetic vector fields of LRS Bianchi type-I spacetimes via the RIF tree approach	12
Relaxing solitons of a biaxial ferromagnet	11
On one interpolation inequality and its application to the Bürgers equation	11
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	10
Symmetry transformations of the vortex field statistics in optical turbulence	10
Dimensional reduction of nonlinear differential equations on homogeneous spaces	9
Nonlinear dynamics of a two-axis ferromagnet on the semiaxis	9
Feynman integral in QFT and white noise on a compactified version of space–time with a Lie group structure	9
Extensions of Yang–Baxter sets	9
Existence and stability of stationary solutions with boundary layers in a system of fast and slow reaction–diffusion–advection equations with KPZ nonlinearities	8
On alleged solutions of the cubically nonlinear Schrödinger equation	8
Hall current and MHD impacts on a 3D Maxwell nanofluid flow across a porous stretching surface	8
Periodic traveling waves in a nonlocal erosion equation	8
Long-time asymptotic behavior and bound state soliton solutions for a generalized derivative nonlinear Schrödinger equation	8
Universality of stochastic Laplacian growth	7
Integral problem for Schrödinger-type equations with the general elliptic part	7

Riemann–Hilbert approach and $$N$$-soliton solutions of the generalized mixed nonlinear Schrödinger equation	7
Stability of a stationary solution of a system of activator–inhibitor-type equations with a double-scale internal transition layer	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
Fractional multiple trapping model of time-of-flight transient photocurrents in amorphous semiconductors	7
Approximate analytic solution of the Logunov–Tavkhelidze equation for a one-dimensional oscillator potential in the relativistic configuration representation	7
Quantum adiabatic theorem with energy gap regularization	7
On the properties of solutions of a system of two nonlinear differential equations associated with the Josephson model	7
From the Wigner function to the $$s$$-ordered phase-space distribution via a Gaussian noise channel	7
Nonexplicit versions of integrable equations	7
Fractional derivative method for describing solitons on the surface of deep water	6
Gibbs measures for the Potts model with a countable set of spin values on a Cayley tree	6
Derivative forms of the three-component nonlinear Schrödinger equation and their simplest solutions	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
On the unique solvability of the div–curl problem in unbounded domains and energy estimates of solutions	6
Energy–momentum tensor of a causally disconnected region of the Universe, the cosmological constant, and the inflationary model	6
Fermionic fields in a four-dimensional $$\Lambda$$ Bonnor–Melvin space–time	5
Superstatistical properties of the Dirac oscillator with gamma, lognormal, and F distributions	5
Constrained discrete KP hierarchy: The constraint on the tau functions and gauge transformations	5
Recent progress in the theory of functions of several complex variables and complex geometry	5
Symmetries of the multicomponent $$q$$-KP hierarchy on a Grassmannian	5
Some new methods for studying boundary value problems for general partial differential equations	5
Multidimensional Zaremba problem for the $$p(\,\cdot\,)$$-Laplace equation. A Boyarsky–Meyers estimate	5
Functional integrals and phase stability properties in the $$O(N)$$ vector field condensation model	5
Complex energies and the Lambert $$W$$ function	5
Stationary thermal front in the problem of reconstructing the semiconductor thermal conductivity coefficient using simulation data	5
On Dirichlet problem	5
Solutions of the analogues of time-dependent Schrödinger equations corresponding to a pair of $$H^{3+2}$$ Hamiltonian systems	4
Nonabelian fermionic T-duality for the fundamental string	4
Cauchy problem for a nonlinear Schrödinger equation with a large initial gradient in the weakly dispersive limit	4
Bose gas modeling of the Schwarzschild black hole thermodynamics	4
Gateway-like absurdly benign traversable wormhole solutions	4
On the group-theoretical approach to relativistic wave equations for arbitrary spin	4
Dynamics of a three species syn-ecological ammensalsim model: A stochastic approach	4
A new solvable two-matrix model and the BKP tau function	4
Magnetohydrodynamic unsteady rotating Casson fluid flow with Hall and ion-slip impacts	4
Green–Kubo formula for electrical conductivity of a driven $$0$$–$$\pi$$ qubit	4
Second-order quantum argument shifts in $$Ugl_d$$	4
The description of generalized translation-invariant $$p$$-adic Gibbs measures for the Potts model on the Cayley tree of order three	4
Hamiltonian mapping and quantum perturbation equations in the point matter black hole and noncommutative black hole models	4
Erratum to: Exponentially confining potential well	4
Evolution of plane perturbations in the cosmological environment of the Higgs scalar field and an ideal scalar-charged fluid	4
Néel temperature of a quasi-two-dimensional triangular-lattice antiferromagnet	4
Study of small perturbations of a stationary state in a model of upper hybrid plasma oscillations	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
Quasi-Grammian soliton and kink dynamics of an $$M$$-component semidiscrete coupled integrable system	4
The structure of quantum corrections and exact results in supersymmetric theories from the higher covariant derivative regularization	4
The $$\pm J$$ distribution in the mixed spin-$$1/2$$ and $$5/2$$ Blume–Capel model	4
Entanglement entropy of a near-extremal black hole	4
Rogue waves of the $$(2+1)$$-dimensional integrable reverse space–time nonlocal Schrödinger equation	4

Study of a flat universe using the FRW model	4
Einstein–dilaton-four–Maxwell holographic anisotropic models	3
Investigation of the transition to instability of the water boiling front during injection into a geothermal reservoir	3
Generalized uncertainty relations, particles, black holes, and Casimir effect in the three-dimensional quantum vacuum	3
Modular-type nonlinearity in the modeling of tumor spheroid growth	3
Butterfly velocity and chaos suppression in de Sitter space	3
Stabilization of the front in a medium with discontinuous characteristics	3
Hall current and thermal diffusion effects on an unsteady MHD free convection flow of non-Newtonian fluid	3
Euler’s difference table and the decomposition of tensor powers of the adjoint representation of the $$A_n$$ Lie algebra	3
On the uniqueness problem for a central invariant manifold	3
Lotka–Volterra model with mutations and generative adversarial networks	3
$$n$$-valued quandles and associated bialgebras	3
The general fifth-order nonlinear Schrödinger equation with nonzero boundary conditions: Inverse scattering transform and multisoliton solutions	3
On solutions of matrix soliton equations	3
Infinitely many rotating periodic solutions for damped vibration systems	3
On the $$k$$th higher Nash blow-up derivation Lie algebras of isolated hypersurface singularities	3
Hamiltonian dynamics of a spaceship in Alcubierre and Gödel metrics: Recursion operators and underlying master symmetries	3
On the Hirota equation with a self-consistent source	3
Algebraic structures behind the Yang–Baxterization process	3
Influence of quark–gluon string interactions on particle correlations in p+p collisions	3
Periodic solutions of a differential equation with a discontinuous delayed neutral-type feedback	3
Using the Kantorovich–Galerkin approach to analyze the resonant characteristics of damped systems	3
Hybrid FEM-neural network approach to radiative slip flow of TiO$$_2$$–SiO$$_2$$ nanofluid over stretching surfaces	3
Solution of the fractional Liouville equation by using Riemann–Liouville and Caputo derivatives in statistical mechanics	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
Quasiperiodic solutions of an extended MKdV hierarchy	3
Quadratic algebras based on $$SL(NM)$$ elliptic quantum $$R$$-matrices	3
On partially hyperbolic symplectic automorphisms of a 6-torus	3
On symmetries of the nonstationary $$\mathrm{P}_\mathrm{II}^{(n)}$$ hierarchy and their applications	3
Bernoulli shifts in predator–prey mappings	3
Nonlinearity in the inverse problems of orbital dynamics using the example of potentially hazardous asteroids and outer satellites of Jupiter	3
Uniqueness of the Pohlmeyer–Lund–Regge system	3
Higher spins in harmonic superspace	3
Noether charge, thermodynamics and phase transition of a black hole in the Schwarzschild– anti-de Sitter–Beltrami spacetime	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
Superpositions of coherent states determined by Gauss sums	3
Strong decays of the charmonium-like state $$Y(4230)$$ and radiative transitions of low-lying charmoniums	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
Elliptic solutions of the Toda lattice hierarchy and the elliptic Ruijsenaars–Schneider model	3
Cauchy matrix approach to the noncommutative Kadomtsev–Petviashvili equation with self-consistent sources	3
Nonlocal abstract Ginzburg–Landau-type equations and applications	3
Cauchy matrix approach to the nonisospectral and variable-coefficient Kadomtsev–Petviashvili equation	2
Duffin–Kemmer–Petiau oscillator in topologically charged Ellis–Bronnikov-type wormhole	2
Machine learning of the well-known things	2
Multi-pole extension of the elliptic models of interacting integrable tops	2
The emergence of Airy stress function in two-dimensional disordered packings of particles	2
Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation	2
Coefficient reconstruction problem for the two-dimensional viscoelasticity equation in a weakly horizontally inhomogeneous medium	2
On the problem of classifying integrable chains with three independent variables	2
The Hankel determinant for a semiclassical Laguerre unitary ensemble, Painlevé IV and Heun equations	2
Lie algebraic approach to the Hellmann Hamiltonian by considering perturbation method	2
Error estimates of the Galerkin method for a weakly solvable parabolic equation with a nonlocal-in-time condition for the solution	2
Unitary representation of walks along random vector fields and the Kolmogorov–Fokker–Planck equation in a Hilbert space	2
Structure of the canonical uniton factorization of a solution of a noncommutative unitary sigma model	2
On modified $$B$$KP systems and generalizations	2
Kinetic coefficients in a time-dependent Green’s function formalism at finite temperature	2
Magnetohydrodynamic flow through a porous medium in a coaxial circular duct	2
Notes about the KP/BKP correspondence	2
Tau-function of the B-Toda hierarchy	2
Cauchy matrix scheme for semidiscrete lattice Korteweg–de Vries-type equations	2
Exact smooth and nonsmooth solutions for integro-partial differential equations by rapidly convergent approximation method	2
Generating quantum dynamical mappings	2
Mirror map for Fermat polynomials with a nonabelian group of symmetries	2
Collective transformations of quantum states with postselection and their application to quantum cryptography	2
Two-dimensional Dirac oscillator in a magnetic field in deformed phase space with minimal-length uncertainty relations	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
On periodic Gibbs measures of the Ising model corresponding to new subgroups of the group representation of a Cayley tree	2
Application of the trigonal curve to a hierarchy of generalized Toda lattices	2
Darboux transformation for the defocusing modified complex short-pulse equation and its multi-dark-soliton solutions	2
A new stability equation for the Abelian Higgs–Kibble model with a dimension-6 derivative operator	2
A nonlocal finite-dimensional integrable system related to the nonlocal mKdV equation	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
Bases and interbasis expansions in the generalized MIC–Kepler problem in the continuous spectrum and the scattering problem	2
On Poincaré–Birkhoff–Witt basis of the quantum general linear superalgebra	2
A $$\bar{\partial}$$-method for the $$(2+1)$$-dimensional coupled Boussinesq equation and its integrable extension	2
On an alternative stratification of knots	2
Equivalence of two constructions for $$\widehat{sl}_2$$-integrable hierarchies	2

Dynamical description of the phase transition to the superconducting state	2
On the integrable symplectic map and the $$N$$-soliton solution of the Toda lattice	2
Resonance fluorescence of polar quantum systems in a bichromatic field	2
Vector fields and invariants of the full symmetric Toda system	2
Similarity of cosmological models and its application to the analysis of cosmological evolution	2
On the combination of Lebesgue and Riemann integrals in theory of convolution equations	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
Rational solutions of nonautonomous quadrilateral equations by the bilinearization of Bäcklund transformation systems	2
Integration of the Kaup–Boussinesq system with time-dependent coefficients	2
Periodic Gibbs measures for the three-state SOS model on a Cayley tree with a translation-invariant external field	2
On Killing tensors in three-dimensional Euclidean space	2
Self-gravitating Higgs field of scalar charge	2
Heterogeneity effect in the statistical analysis of plasma density	2
Composite operators of stochastic model A	2
A direct method for solving Lax equations	2
Set-theoretical solutions of the Zamolodchikov tetrahedron equation on associative rings and Liouville integrability	2
Particle creation in cosmological space–time by a time-varying electric field	2
Nonlocality, integrability, and solitons	2
Lagrangian BRST formulation of massive higher-spin fields of the general symmetry type	2
The initial-boundary value for the combined Schrödinger and Gerdjikov–Ivanov equation on the half-line via the Riemann–Hilbert approach	2
Integration of a defocusing nonlinear Schrödinger equation with additional terms	2
Geometry and quasiclassical quantization of magnetic monopoles	2