Theoretical and Mathematical Physics

Article	Citations
Shanks extrapolation method and exact solutions of equations of nonlinear mathematical physics	60
Periodic traveling waves in a nonlocal erosion equation	26
Long-time asymptotic behavior and bound state soliton solutions for a generalized derivative nonlinear Schrödinger equation	24
Nonstandard Lagrangians for a real scalar field and a fermion field from the nonuniqueness principle	23
Relaxing solitons of a biaxial ferromagnet	20
Homothetic vector fields of LRS Bianchi type-I spacetimes via the RIF tree approach	16
Extensions of Yang–Baxter sets	15
Local dynamics of equation with periodically distributed delay	14
Riemann–Hilbert approach to coupled nonlinear Schrödinger equations on a half-line	14
Implications of generalized Compton wavelength in the effects of general relativity	11
Dynamics of three-dimensional magnetic structures in the Heisenberg model	10
Hall current and MHD impacts on a 3D Maxwell nanofluid flow across a porous stretching surface	10
Dynamics of kink-soliton solutions of the $$(2+1)$$-dimensional sine-Gordon equation	10
Dimensional reduction of nonlinear differential equations on homogeneous spaces	10
The focusing coupled modified Korteweg–de Vries equation with nonzero boundary conditions: the Riemann–Hilbert problem and soliton classification	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
The existence proof for forced oscillations by adding dissipative forces in the example of a spherical pendulum	9
Symmetry transformations of the vortex field statistics in optical turbulence	9
Elliptic families of solutions of the constrained Toda hierarchy	9
Nonlinear dynamics of a two-axis ferromagnet on the semiaxis	9
On Darboux integrable equations with non-autonomous first-order integrals	8
Minimal realizations and scaling invariance of the discrete KP hierarchy and its strict version	8
Feynman integral in QFT and white noise on a compactified version of space–time with a Lie group structure	8
Review of exact solutions and reductions of Monge–Ampère type equations	8
On one interpolation inequality and its application to the Bürgers equation	8

Approximate analytic solution of the Logunov–Tavkhelidze equation for a one-dimensional oscillator potential in the relativistic configuration representation	7
Stability of a stationary solution of a system of activator–inhibitor-type equations with a double-scale internal transition layer	7
From the Wigner function to the $$s$$-ordered phase-space distribution via a Gaussian noise channel	7
Fractional multiple trapping model of time-of-flight transient photocurrents in amorphous semiconductors	7
On the properties of solutions of a system of two nonlinear differential equations associated with the Josephson model	7
Gibbs measures for the Potts model with a countable set of spin values on a Cayley tree	7
Nonexplicit versions of integrable equations	7
Universality of stochastic Laplacian growth	7
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 alleged solutions of the cubically nonlinear Schrödinger equation	6
Study of a flat universe using the FRW model	6
Derivative forms of the three-component nonlinear Schrödinger equation and their simplest solutions	6
Quantum adiabatic theorem with energy gap regularization	6
Riemann–Hilbert approach and $$N$$-soliton solutions of the generalized mixed nonlinear Schrödinger equation	6
Constrained discrete KP hierarchy: The constraint on the tau functions and gauge transformations	6
Energy–momentum tensor of a causally disconnected region of the Universe, the cosmological constant, and the inflationary model	6
Transport solutions for biquaternion generalizations of Dirac and Maxwell equations at subluminal speeds and their properties	6
Stationary thermal front in the problem of reconstructing the semiconductor thermal conductivity coefficient using simulation data	6
Fermionic fields in a four-dimensional $$\Lambda$$ Bonnor–Melvin space–time	5
Symmetries of the multicomponent $$q$$-KP hierarchy on a Grassmannian	5
A new solvable two-matrix model and the BKP tau function	5
Superstatistical properties of the Dirac oscillator with gamma, lognormal, and F distributions	5
On Dirichlet problem	5
Functional integrals and phase stability properties in the $$O(N)$$ vector field condensation model	5
On the unique solvability of the div–curl problem in unbounded domains and energy estimates of solutions	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
Rogue waves of the $$(2+1)$$-dimensional integrable reverse space–time nonlocal Schrödinger equation	5
Magnetohydrodynamic unsteady rotating Casson fluid flow with Hall and ion-slip impacts	5
Complex energies and the Lambert $$W$$ function	5
Néel temperature of a quasi-two-dimensional triangular-lattice antiferromagnet	5
Recent progress in the theory of functions of several complex variables and complex geometry	5
Dynamics of a three species syn-ecological ammensalsim model: A stochastic approach	5
Some new methods for studying boundary value problems for general partial differential equations	5
Nonlinearity in the inverse problems of orbital dynamics using the example of potentially hazardous asteroids and outer satellites of Jupiter	4
Analytical properties of the spectral problem for the internal gravity waves equation with shear flows under critical wave generation modes	4
Gateway-like absurdly benign traversable wormhole solutions	4
Cauchy problem for a nonlinear Schrödinger equation with a large initial gradient in the weakly dispersive limit	4
Quasi-Grammian soliton and kink dynamics of an $$M$$-component semidiscrete coupled integrable system	4
Second-order quantum argument shifts in $$Ugl_d$$	4
Stabilization of the front in a medium with discontinuous characteristics	4
Nonlocal abstract Ginzburg–Landau-type equations and applications	4
The description of generalized translation-invariant $$p$$-adic Gibbs measures for the Potts model on the Cayley tree of order three	4
Bose gas modeling of the Schwarzschild black hole thermodynamics	4
Modular-type nonlinearity in the modeling of tumor spheroid growth	4
Entanglement entropy of a near-extremal black hole	4
The $$\pm J$$ distribution in the mixed spin-$$1/2$$ and $$5/2$$ Blume–Capel model	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
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
Investigation of the transition to instability of the water boiling front during injection into a geothermal reservoir	4

Infinitely many rotating periodic solutions for damped vibration systems	4
On the $$k$$th higher Nash blow-up derivation Lie algebras of isolated hypersurface singularities	4
The structure of quantum corrections and exact results in supersymmetric theories from the higher covariant derivative regularization	4
Using the Kantorovich–Galerkin approach to analyze the resonant characteristics of damped systems	4
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
Hamiltonian mapping and quantum perturbation equations in the point matter black hole and noncommutative black hole models	4
Green–Kubo formula for electrical conductivity of a driven $$0$$–$$\pi$$ qubit	4
Study of small perturbations of a stationary state in a model of upper hybrid plasma oscillations	4
On symmetries of the nonstationary $$\mathrm{P}_\mathrm{II}^{(n)}$$ hierarchy and their applications	4
Analytical properties of solutions to nonlinear systems of differential equations associated with some random matrix type models	4
Solution of the fractional Liouville equation by using Riemann–Liouville and Caputo derivatives in statistical mechanics	3
Nonlocality, integrability, and solitons	3
On solutions of matrix soliton equations	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
Butterfly velocity and chaos suppression in de Sitter space	3
Euler’s difference table and the decomposition of tensor powers of the adjoint representation of the $$A_n$$ Lie algebra	3
Lie group geometry: Riemann and Ricci tensors and normal forms of Lie algebras	3
Generalized uncertainty relations, particles, black holes, and Casimir effect in the three-dimensional quantum vacuum	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
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
On the uniqueness problem for a central invariant manifold	3
Hybrid FEM-neural network approach to radiative slip flow of TiO$$_2$$–SiO$$_2$$ nanofluid over stretching surfaces	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
Hall current and thermal diffusion effects on an unsteady MHD free convection flow of non-Newtonian fluid	3
Minimal algebraic solutions of the sixth Painlevé equation	3
Uniqueness of the Pohlmeyer–Lund–Regge system	3
Influence of quark–gluon string interactions on particle correlations in p+p collisions	3
On the geometric anatomy of a nonwandering continuum possessing the Wada property	3
Black brane/Bose gas duality and the third law of thermodynamics	3
Magnetohydrodynamic flow through a porous medium in a coaxial circular duct	3
On an alternative stratification of knots	3
Lotka–Volterra model with mutations and generative adversarial networks	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
Einstein–dilaton-four–Maxwell holographic anisotropic models	3
$$n$$-valued quandles and associated bialgebras	3
Implicit quiescent solitons in optical metamaterials with an array of self-phase modulation structures by Lie symmetry	3
Algebraic structures behind the Yang–Baxterization process	3
Noether charge, thermodynamics and phase transition of a black hole in the Schwarzschild– anti-de Sitter–Beltrami spacetime	3
Higher spins in harmonic superspace	3
Cauchy matrix approach to the noncommutative Kadomtsev–Petviashvili equation with self-consistent sources	3
Quasiperiodic solutions of an extended MKdV hierarchy	3
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
Blow-up of the solution to the Cauchy problem for one $$(N+1)$$-dimensional composite-type equation with gradient nonlinearity	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
Resonance fluorescence of polar quantum systems in a bichromatic field	2
Duffin–Kemmer–Petiau oscillator in topologically charged Ellis–Bronnikov-type wormhole	2
Yang–Baxter equation in all dimensions and universal qudit gates	2
Geometry and quasiclassical quantization of magnetic monopoles	2
Nonlinear longitudinal spatially localized deformation waves propagating in a Bishop rod located in a magnetic field and having material damage	2
Vector fields and invariants of the full symmetric Toda system	2
Heterogeneity effect in the statistical analysis of plasma density	2
Set-theoretical solutions of the Zamolodchikov tetrahedron equation on associative rings and Liouville integrability	2
Generating quantum dynamical mappings	2
Dynamical description of the phase transition to the superconducting state	2
On periodic Gibbs measures of the Ising model corresponding to new subgroups of the group representation of a Cayley tree	2
Exact smooth and nonsmooth solutions for integro-partial differential equations by rapidly convergent approximation method	2
A direct method for solving Lax equations	2
A new stability equation for the Abelian Higgs–Kibble model with a dimension-6 derivative operator	2
Bases and interbasis expansions in the generalized MIC–Kepler problem in the continuous spectrum and the scattering problem	2
A nonlocal finite-dimensional integrable system related to the nonlocal mKdV equation	2
Lie algebraic approach to the Hellmann Hamiltonian by considering perturbation method	2
The Hankel determinant for a semiclassical Laguerre unitary ensemble, Painlevé IV and Heun equations	2
On the integrable symplectic map and the $$N$$-soliton solution of the Toda lattice	2
Self-gravitating Higgs field of scalar charge	2
Darboux transformation for the defocusing modified complex short-pulse equation and its multi-dark-soliton solutions	2
On modified $$B$$KP systems and generalizations	2
Rational solutions of nonautonomous quadrilateral equations by the bilinearization of Bäcklund transformation systems	2
Equivalence of two constructions for $$\widehat{sl}_2$$-integrable hierarchies	2
Kinetic coefficients in a time-dependent Green’s function formalism at finite temperature	2
Generalized nonlinear Schrödinger equation for longitudinal deformation waves in an acoustic metamaterial	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
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
On Killing tensors in three-dimensional Euclidean space	2
Cycles with the embedded bursting effect in a circle of neural oscillators	2
The emergence of Airy stress function in two-dimensional disordered packings of particles	2
Similarity of cosmological models and its application to the analysis of cosmological evolution	2
Cauchy matrix scheme for semidiscrete lattice Korteweg–de Vries-type equations	2
Coefficient reconstruction problem for the two-dimensional viscoelasticity equation in a weakly horizontally inhomogeneous medium	2
Application of the trigonal curve to a hierarchy of generalized Toda lattices	2
Particle creation in cosmological space–time by a time-varying electric field	2
Unitary representation of walks along random vector fields and the Kolmogorov–Fokker–Planck equation in a Hilbert space	2
On the combination of Lebesgue and Riemann integrals in theory of convolution equations	2
Error estimates of the Galerkin method for a weakly solvable parabolic equation with a nonlocal-in-time condition for the solution	2
On partially hyperbolic symplectic automorphisms of a 6-torus	2
Three-loop $$\beta$$-functions and NSVZ relations for the MSSM regularized by higher covariant derivatives	2
Emptiness formation probability in the one-dimensional Bose gas with attraction	2
Machine learning of the well-known things	2
Mechanism for the formation of an inhomogeneous nanorelief and bifurcations in a nonlocal erosion equation	2
On a weak periodic internal layer in a problem with a discontinuous reaction	2
Effects of thermo physical aspects of radiant-heating on an unsteady magnetohydrodynamic hybrid nanofluid flow	2
Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation	2
Integration of the Kaup–Boussinesq system with time-dependent coefficients	2
Tau-function of the B-Toda hierarchy	2
Quantum Coulomb problem in a Gaussian time-dependent electric field within the path integral formalism	2
Composite operators of stochastic model A	2
Cauchy matrix approach to the nonisospectral and variable-coefficient Kadomtsev–Petviashvili equation	2
Periodic Gibbs measures for the three-state SOS model on a Cayley tree with a translation-invariant external field	2
A $$\bar{\partial}$$-method for the $$(2+1)$$-dimensional coupled Boussinesq equation and its integrable extension	2