Theoretical and Mathematical Physics

Article	Citations
On the first Newton law, the existence of the reference system corresponding to the rest, and the Galilei group	58
Dynamics of kink-soliton solutions of the $$(2+1)$$-dimensional sine-Gordon equation	17
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	13
Relaxing solitons of a biaxial ferromagnet	12
Extensions of Yang–Baxter sets	11
On one interpolation inequality and its application to the Bürgers equation	11
Nonlinear dynamics of a two-axis ferromagnet on the semiaxis	10
Nonstandard Lagrangians for a real scalar field and a fermion field from the nonuniqueness principle	10
Local dynamics of equation with periodically distributed delay	10
Dynamics of three-dimensional magnetic structures in the Heisenberg model	10
The focusing coupled modified Korteweg–de Vries equation with nonzero boundary conditions: the Riemann–Hilbert problem and soliton classification	9
Riemann–Hilbert approach to coupled nonlinear Schrödinger equations on a half-line	9
Symmetry transformations of the vortex field statistics in optical turbulence	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
Long-time asymptotic behavior and bound state soliton solutions for a generalized derivative nonlinear Schrödinger equation	9
Feynman integral in QFT and white noise on a compactified version of space–time with a Lie group structure	8
Quantum adiabatic theorem with energy gap regularization	8
Topological meaning of the slope of the Kolmogorov spectrum of magnetic turbulence	8
Integral problem for Schrödinger-type equations with the general elliptic part	8
Implications of generalized Compton wavelength in the effects of general relativity	8
Minimal realizations and scaling invariance of the discrete KP hierarchy and its strict version	8
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

Nonexplicit versions of integrable equations	7
Approximate analytic solution of the Logunov–Tavkhelidze equation for a one-dimensional oscillator potential in the relativistic configuration representation	7
Riemann–Hilbert approach and $$N$$-soliton solutions of the generalized mixed nonlinear Schrödinger equation	7
On the properties of solutions of a system of two nonlinear differential equations associated with the Josephson model	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
On alleged solutions of the cubically nonlinear Schrödinger equation	7
Fractional multiple trapping model of time-of-flight transient photocurrents in amorphous semiconductors	7
Discrete traveling waves in a relay system of Mackey–Glass equations with two delays	6
Complex energies and the Lambert $$W$$ function	6
Fractional derivative method for describing solitons on the surface of deep water	6
Fermionic fields in a four-dimensional $$\Lambda$$ Bonnor–Melvin space–time	6
Superstatistical properties of the Dirac oscillator with gamma, lognormal, and F distributions	6
Gibbs measures for the Potts model with a countable set of spin values on a Cayley tree	6
On the unique solvability of the div–curl problem in unbounded domains and energy estimates of solutions	6
Symmetries of the multicomponent $$q$$-KP hierarchy on a Grassmannian	6
Energy–momentum tensor of a causally disconnected region of the Universe, the cosmological constant, and the inflationary model	6
Some new methods for studying boundary value problems for general partial differential equations	5
Constrained discrete KP hierarchy: The constraint on the tau functions and gauge transformations	5
On Dirichlet problem	5
Rogue waves of the $$(2+1)$$-dimensional integrable reverse space–time nonlocal Schrödinger equation	5
Stationary thermal front in the problem of reconstructing the semiconductor thermal conductivity coefficient using simulation data	5
Multidimensional Zaremba problem for the $$p(\,\cdot\,)$$-Laplace equation. A Boyarsky–Meyers estimate	5
Evolution of plane perturbations in the cosmological environment of the Higgs scalar field and an ideal scalar-charged fluid	5
Functional integrals and phase stability properties in the $$O(N)$$ vector field condensation model	5
A new solvable two-matrix model and the BKP tau function	5
Recent progress in the theory of functions of several complex variables and complex geometry	5
Entanglement entropy of a near-extremal black hole	4
Erratum to: Exponentially confining potential well	4
The structure of quantum corrections and exact results in supersymmetric theories from the higher covariant derivative regularization	4
Quasi-Grammian soliton and kink dynamics of an $$M$$-component semidiscrete coupled integrable system	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
Algebraic structures behind the Yang–Baxterization process	4
Green–Kubo formula for electrical conductivity of a driven $$0$$–$$\pi$$ qubit	4
Solutions of the analogues of time-dependent Schrödinger equations corresponding to a pair of $$H^{3+2}$$ Hamiltonian systems	4
Gateway-like absurdly benign traversable wormhole solutions	4
Investigation of the transition to instability of the water boiling front during injection into a geothermal reservoir	4
The description of generalized translation-invariant $$p$$-adic Gibbs measures for the Potts model on the Cayley tree of order three	4
Uniqueness of the Pohlmeyer–Lund–Regge system	4
Generalized uncertainty relations, particles, black holes, and Casimir effect in the three-dimensional quantum vacuum	4
Hamiltonian mapping and quantum perturbation equations in the point matter black hole and noncommutative black hole models	4
Second-order quantum argument shifts in $$Ugl_d$$	4
On the group-theoretical approach to relativistic wave equations for arbitrary spin	4
Study of small perturbations of a stationary state in a model of upper hybrid plasma oscillations	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
Higher spins in harmonic superspace	4
Bose gas modeling of the Schwarzschild black hole thermodynamics	4
The $$\pm J$$ distribution in the mixed spin-$$1/2$$ and $$5/2$$ Blume–Capel model	4
Euler’s difference table and the decomposition of tensor powers of the adjoint representation of the $$A_n$$ Lie algebra	3
Bernoulli shifts in predator–prey mappings	3

Nonlocal abstract Ginzburg–Landau-type equations and applications	3
Influence of quark–gluon string interactions on particle correlations in p+p collisions	3
On the Hirota equation with a self-consistent source	3
Elliptic solutions of the Toda lattice hierarchy and the elliptic Ruijsenaars–Schneider model	3
On symmetries of the nonstationary $$\mathrm{P}_\mathrm{II}^{(n)}$$ hierarchy and their applications	3
On partially hyperbolic symplectic automorphisms of a 6-torus	3
On Poincaré–Birkhoff–Witt basis of the quantum general linear superalgebra	3
$$n$$-valued quandles and associated bialgebras	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
Einstein–dilaton-four–Maxwell holographic anisotropic models	3
The $$\text{m}$$KdV-type equations related to $$A_5^{(1)}$$ and $$A_5^{(2)}$$ Kac–Moody algebras	3
On solutions of matrix soliton equations	3
Hamiltonian dynamics of a spaceship in Alcubierre and Gödel metrics: Recursion operators and underlying master symmetries	3
Nonlinearity in the inverse problems of orbital dynamics using the example of potentially hazardous asteroids and outer satellites of Jupiter	3
Noether charge, thermodynamics and phase transition of a black hole in the Schwarzschild– anti-de Sitter–Beltrami spacetime	3
Mirror map for Fermat polynomials with a nonabelian group of symmetries	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
Lotka–Volterra model with mutations and generative adversarial networks	3
Self-gravitating Higgs field of scalar charge	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
Discrete second-order Ablowitz–Kaup–Newell–Segur equation and its modified form	3
Cauchy matrix approach to the noncommutative Kadomtsev–Petviashvili equation with self-consistent sources	3
Quadratic algebras based on $$SL(NM)$$ elliptic quantum $$R$$-matrices	3
Infinitely many rotating periodic solutions for damped vibration systems	3
Two-species reaction–diffusion system in the presence of random velocity fluctuations	3
The initial-boundary value for the combined Schrödinger and Gerdjikov–Ivanov equation on the half-line via the Riemann–Hilbert approach	3
Stabilization of the front in a medium with discontinuous characteristics	3
Periodic solutions of a differential equation with a discontinuous delayed neutral-type feedback	3
Quasiperiodic solutions of an extended MKdV hierarchy	3
On an alternative stratification of knots	3
On the uniqueness problem for a central invariant manifold	3
Solution of the fractional Liouville equation by using Riemann–Liouville and Caputo derivatives in statistical mechanics	3
Set-theoretical solutions of the Zamolodchikov tetrahedron equation on associative rings and Liouville integrability	2
A nonlocal finite-dimensional integrable system related to the nonlocal mKdV equation	2
Rational solutions of nonautonomous quadrilateral equations by the bilinearization of Bäcklund transformation systems	2
A $$\bar{\partial}$$-method for the $$(2+1)$$-dimensional coupled Boussinesq equation and its integrable extension	2
Multi-pole extension of the elliptic models of interacting integrable tops	2
Cauchy matrix approach to the nonisospectral and variable-coefficient Kadomtsev–Petviashvili equation	2
On the problem of classifying integrable chains with three independent variables	2
Heterogeneity effect in the statistical analysis of plasma density	2
Tau-function of the B-Toda hierarchy	2
The emergence of Airy stress function in two-dimensional disordered packings of particles	2
Equivalence of two constructions for $$\widehat{sl}_2$$-integrable hierarchies	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
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
Similarity of cosmological models and its application to the analysis of cosmological evolution	2
Darboux transformation for the defocusing modified complex short-pulse equation and its multi-dark-soliton solutions	2
Application of the trigonal curve to a hierarchy of generalized Toda lattices	2
Group extensions, fiber bundles, and a parametric Yang–Baxter equation	2
On modified $$B$$KP systems and generalizations	2
Lagrangian BRST formulation of massive higher-spin fields of the general symmetry type	2
Yang–Baxter equation in all dimensions and universal qudit gates	2
Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation	2
Generating quantum dynamical mappings	2
Three-loop $$\beta$$-functions and NSVZ relations for the MSSM regularized by higher covariant derivatives	2
Collective transformations of quantum states with postselection and their application to quantum cryptography	2
Geometry and quasiclassical quantization of magnetic monopoles	2
Quantum Coulomb problem in a Gaussian time-dependent electric field within the path integral formalism	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 periodic Gibbs measures of the Ising model corresponding to new subgroups of the group representation of a Cayley tree	2
Periodic Gibbs measures for the three-state SOS model on a Cayley tree with a translation-invariant external field	2
Kinetic coefficients in a time-dependent Green’s function formalism at finite temperature	2
A new stability equation for the Abelian Higgs–Kibble model with a dimension-6 derivative operator	2
Structure of the canonical uniton factorization of a solution of a noncommutative unitary sigma model	2
Unitary representation of walks along random vector fields and the Kolmogorov–Fokker–Planck equation in a Hilbert space	2
A direct method for solving Lax equations	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
The Hankel determinant for a semiclassical Laguerre unitary ensemble, Painlevé IV and Heun equations	2
Notes about the KP/BKP correspondence	2
Singularly perturbed partially dissipative systems of equations	2
Tutte polynomials of vertex-weighted graphs and group cohomology	2
First triplet four-electron state in the impurity Hubbard model. Three-dimensional case	2
Two-dimensional Dirac oscillator in a magnetic field in deformed phase space with minimal-length uncertainty relations	2
Cauchy matrix scheme for semidiscrete lattice Korteweg–de Vries-type equations	2

Machine learning of the well-known things	2
On the combination of Lebesgue and Riemann integrals in theory of convolution equations	2
On the integrable symplectic map and the $$N$$-soliton solution of the Toda lattice	2
Integration of the Kaup–Boussinesq system with time-dependent coefficients	2
Resonance fluorescence of polar quantum systems in a bichromatic field	2
Vector fields and invariants of the full symmetric Toda system	2
Dynamical description of the phase transition to the superconducting state	2
Particle creation in cosmological space–time by a time-varying electric field	2
Composite operators of stochastic model A	2
Integration of a defocusing nonlinear Schrödinger equation with additional terms	2
Exact smooth and nonsmooth solutions for integro-partial differential equations by rapidly convergent approximation method	2
Spin nonclassicality via variance	2