Theoretical and Mathematical Physics

Article	Citations
Shanks extrapolation method and exact solutions of equations of nonlinear mathematical physics	59
Nonstandard Lagrangians for a real scalar field and a fermion field from the nonuniqueness principle	26
Implications of generalized Compton wavelength in the effects of general relativity	22
Periodic traveling waves in a nonlocal erosion equation	21
Hall current and MHD impacts on a 3D Maxwell nanofluid flow across a porous stretching surface	19
On the first Newton law, the existence of the reference system corresponding to the rest, and the Galilei group	15
The existence proof for forced oscillations by adding dissipative forces in the example of a spherical pendulum	14
Dynamics of kink-soliton solutions of the $$(2+1)$$-dimensional sine-Gordon equation	14
Elliptic families of solutions of the constrained Toda hierarchy	13
Homothetic vector fields of LRS Bianchi type-I spacetimes via the RIF tree approach	11
On one interpolation inequality and its application to the Bürgers equation	10
Relaxing solitons of a biaxial ferromagnet	10
Dynamics of three-dimensional magnetic structures in the Heisenberg model	10
Riemann–Hilbert approach to coupled nonlinear Schrödinger equations on a half-line	9
The focusing coupled modified Korteweg–de Vries equation with nonzero boundary conditions: the Riemann–Hilbert problem and soliton classification	9
Symmetry transformations of the vortex field statistics in optical turbulence	9
Local dynamics of equation with periodically distributed delay	8
Feynman integral in QFT and white noise on a compactified version of space–time with a Lie group structure	8
Extensions of Yang–Baxter sets	8
Dimensional reduction of nonlinear differential equations on homogeneous spaces	8
Nonlinear dynamics of a two-axis ferromagnet on the semiaxis	8
Gibbs measures for the Potts model with a countable set of spin values on a Cayley tree	7
Stability of a stationary solution of a system of activator–inhibitor-type equations with a double-scale internal transition layer	7
Long-time asymptotic behavior and bound state soliton solutions for a generalized derivative nonlinear Schrödinger equation	7
Integral problem for Schrödinger-type equations with the general elliptic part	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
Existence and stability of stationary solutions with boundary layers in a system of fast and slow reaction–diffusion–advection equations with KPZ nonlinearities	7
Minimal realizations and scaling invariance of the discrete KP hierarchy and its strict version	7
From the Wigner function to the $$s$$-ordered phase-space distribution via a Gaussian noise channel	7
Nonexplicit versions of integrable equations	7
Quantum adiabatic theorem with energy gap regularization	7
Universality of stochastic Laplacian growth	6
Energy–momentum tensor of a causally disconnected region of the Universe, the cosmological constant, and the inflationary model	6
On alleged solutions of the cubically nonlinear Schrödinger equation	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
Review of exact solutions and reductions of Monge–Ampère type equations	6
On the properties of solutions of a system of two nonlinear differential equations associated with the Josephson model	6
Some new methods for studying boundary value problems for general partial differential equations	5
Néel temperature of a quasi-two-dimensional triangular-lattice antiferromagnet	5
Topological meaning of the slope of the Kolmogorov spectrum of magnetic turbulence	5
On Dirichlet problem	5
Study of a flat universe using the FRW model	5
Multidimensional Zaremba problem for the $$p(\,\cdot\,)$$-Laplace equation. A Boyarsky–Meyers estimate	5
Derivative forms of the three-component nonlinear Schrödinger equation and their simplest solutions	5
On the unique solvability of the div–curl problem in unbounded domains and energy estimates of solutions	5
Complex energies and the Lambert $$W$$ function	5
Constrained discrete KP hierarchy: The constraint on the tau functions and gauge transformations	5
Fermionic fields in a four-dimensional $$\Lambda$$ Bonnor–Melvin space–time	5
Functional integrals and phase stability properties in the $$O(N)$$ vector field condensation model	5
Evolution of plane perturbations in the cosmological environment of the Higgs scalar field and an ideal scalar-charged fluid	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
Recent progress in the theory of functions of several complex variables and complex geometry	5
A new solvable two-matrix model and the BKP tau function	5
Method for estimating the number of zeros of the spatially one-dimensional Pauli–Jordan–Dirac function on spatial intervals using the Kronecker theorem	4
The $$\pm J$$ distribution in the mixed spin-$$1/2$$ and $$5/2$$ Blume–Capel model	4
Solutions of the analogues of time-dependent Schrödinger equations corresponding to a pair of $$H^{3+2}$$ Hamiltonian systems	4
Rogue waves of the $$(2+1)$$-dimensional integrable reverse space–time nonlocal Schrödinger equation	4
The structure of quantum corrections and exact results in supersymmetric theories from the higher covariant derivative regularization	4
Bose gas modeling of the Schwarzschild black hole thermodynamics	4
Investigation of the transition to instability of the water boiling front during injection into a geothermal reservoir	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
Using the Kantorovich–Galerkin approach to analyze the resonant characteristics of damped systems	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
Green–Kubo formula for electrical conductivity of a driven $$0$$–$$\pi$$ qubit	4
Superstatistical properties of the Dirac oscillator with gamma, lognormal, and F distributions	4
Dynamics of a three species syn-ecological ammensalsim model: A stochastic approach	4
Entanglement entropy of a near-extremal black hole	4
The description of generalized translation-invariant $$p$$-adic Gibbs measures for the Potts model on the Cayley tree of order three	4
Quasi-Grammian soliton and kink dynamics of an $$M$$-component semidiscrete coupled integrable system	4
Analytical properties of the spectral problem for the internal gravity waves equation with shear flows under critical wave generation modes	4
Modular-type nonlinearity in the modeling of tumor spheroid growth	4

Study of small perturbations of a stationary state in a model of upper hybrid plasma oscillations	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
Magnetohydrodynamic unsteady rotating Casson fluid flow with Hall and ion-slip impacts	4
Nonabelian fermionic T-duality for the fundamental string	4
Uniqueness of the Pohlmeyer–Lund–Regge system	4
Stabilization of the front in a medium with discontinuous characteristics	4
Generalized uncertainty relations, particles, black holes, and Casimir effect in the three-dimensional quantum vacuum	4
Butterfly velocity and chaos suppression in de Sitter space	3
Hamiltonian dynamics of a spaceship in Alcubierre and Gödel metrics: Recursion operators and underlying master symmetries	3
Strong decays of the charmonium-like state $$Y(4230)$$ and radiative transitions of low-lying charmoniums	3
Analytical properties of solutions to nonlinear systems of differential equations associated with some random matrix type models	3
Implicit quiescent solitons in optical metamaterials with an array of self-phase modulation structures by Lie symmetry	3
On the Hirota equation with a self-consistent source	3
Infinitely many rotating periodic solutions for damped vibration systems	3
Superpositions of coherent states determined by Gauss sums	3
Black brane/Bose gas duality and the third law of thermodynamics	3
$$n$$-valued quandles and associated bialgebras	3
Einstein–dilaton-four–Maxwell holographic anisotropic models	3
Discrete second-order Ablowitz–Kaup–Newell–Segur equation and its modified form	3
Minimal algebraic solutions of the sixth Painlevé equation	3
Influence of quark–gluon string interactions on particle correlations in p+p collisions	3
Lotka–Volterra model with mutations and generative adversarial networks	3
On the uniqueness problem for a central invariant manifold	3
Noether charge, thermodynamics and phase transition of a black hole in the Schwarzschild– anti-de Sitter–Beltrami spacetime	3
On symmetries of the nonstationary $$\mathrm{P}_\mathrm{II}^{(n)}$$ hierarchy and their applications	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
Hall current and thermal diffusion effects on an unsteady MHD free convection flow of non-Newtonian fluid	3
On partially hyperbolic symplectic automorphisms of a 6-torus	3
On solutions of matrix soliton equations	3
Two-species reaction–diffusion system in the presence of random velocity fluctuations	3
On the geometric anatomy of a nonwandering continuum possessing the Wada property	3
Bernoulli shifts in predator–prey mappings	3
Cauchy matrix approach to the noncommutative Kadomtsev–Petviashvili equation with self-consistent sources	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
On the $$k$$th higher Nash blow-up derivation Lie algebras of isolated hypersurface singularities	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
Nonlocal abstract Ginzburg–Landau-type equations and applications	3
Lie group geometry: Riemann and Ricci tensors and normal forms of Lie algebras	3
Solution of the fractional Liouville equation by using Riemann–Liouville and Caputo derivatives in statistical mechanics	3
Hybrid FEM-neural network approach to radiative slip flow of TiO$$_2$$–SiO$$_2$$ nanofluid over stretching surfaces	3
Periodic solutions of a differential equation with a discontinuous delayed neutral-type feedback	3
The general fifth-order nonlinear Schrödinger equation with nonzero boundary conditions: Inverse scattering transform and multisoliton solutions	2
A $$\bar{\partial}$$-method for the $$(2+1)$$-dimensional coupled Boussinesq equation and its integrable extension	2
Three-loop $$\beta$$-functions and NSVZ relations for the MSSM regularized by higher covariant derivatives	2
Generating quantum dynamical mappings	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
Cycles with the embedded bursting effect in a circle of neural oscillators	2
Integration of the Kaup–Boussinesq system with time-dependent coefficients	2
Mirror map for Fermat polynomials with a nonabelian group of symmetries	2
Emptiness formation probability in the one-dimensional Bose gas with attraction	2
Rational solutions of nonautonomous quadrilateral equations by the bilinearization of Bäcklund transformation systems	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
Set-theoretical solutions of the Zamolodchikov tetrahedron equation on associative rings and Liouville integrability	2
Geometry and quasiclassical quantization of magnetic monopoles	2
Solution of double and triple sine-Gordon equations	2
Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation	2
On Poincaré–Birkhoff–Witt basis of the quantum general linear superalgebra	2
On the integrable symplectic map and the $$N$$-soliton solution of the Toda lattice	2
On an alternative stratification of knots	2
Bases and interbasis expansions in the generalized MIC–Kepler problem in the continuous spectrum and the scattering problem	2
Two-dimensional Dirac oscillator in a magnetic field in deformed phase space with minimal-length uncertainty relations	2
Darboux transformation for the defocusing modified complex short-pulse equation and its multi-dark-soliton solutions	2
Heterogeneity effect in the statistical analysis of plasma density	2
Lie algebraic approach to the Hellmann Hamiltonian by considering perturbation method	2
The emergence of Airy stress function in two-dimensional disordered packings of particles	2
On the problem of classifying integrable chains with three independent variables	2
Coefficient reconstruction problem for the two-dimensional viscoelasticity equation in a weakly horizontally inhomogeneous medium	2
Error estimates of the Galerkin method for a weakly solvable parabolic equation with a nonlocal-in-time condition for the solution	2
Blow-up of the solution to the Cauchy problem for one $$(N+1)$$-dimensional composite-type equation with gradient nonlinearity	2
Duffin–Kemmer–Petiau oscillator in topologically charged Ellis–Bronnikov-type wormhole	2
Unitary representation of walks along random vector fields and the Kolmogorov–Fokker–Planck equation in a Hilbert space	2
Quantum Coulomb problem in a Gaussian time-dependent electric field within the path integral formalism	2
On modified $$B$$KP systems and generalizations	2
Machine learning of the well-known things	2

Application of the trigonal curve to a hierarchy of generalized Toda lattices	2
A direct method for solving Lax equations	2
Magnetohydrodynamic flow through a porous medium in a coaxial circular duct	2
Kinetic coefficients in a time-dependent Green’s function formalism at finite temperature	2
Quasiperiodic solutions of an extended MKdV hierarchy	2
Structure of the canonical uniton factorization of a solution of a noncommutative unitary sigma model	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
Tau-function of the B-Toda hierarchy	2
Collective transformations of quantum states with postselection and their application to quantum cryptography	2
Dynamical description of the phase transition to the superconducting state	2
Resonance fluorescence of polar quantum systems in a bichromatic field	2
Exact smooth and nonsmooth solutions for integro-partial differential equations by rapidly convergent approximation method	2
On periodic Gibbs measures of the Ising model corresponding to new subgroups of the group representation of a Cayley tree	2
Composite operators of stochastic model A	2
Integration of a defocusing nonlinear Schrödinger equation with additional terms	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
Self-gravitating Higgs field of scalar charge	2
Cauchy matrix scheme for semidiscrete lattice Korteweg–de Vries-type equations	2
Periodic Gibbs measures for the three-state SOS model on a Cayley tree with a translation-invariant external field	2
Equivalence of two constructions for $$\widehat{sl}_2$$-integrable hierarchies	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
Nonlocality, integrability, and solitons	2
Particle creation in cosmological space–time by a time-varying electric field	2