Theoretical and Mathematical Physics

Article	Citations
Extensions of Yang–Baxter sets	65
Symmetry transformations of the vortex field statistics in optical turbulence	29
Elliptic families of solutions of the constrained Toda hierarchy	26
The existence proof for forced oscillations by adding dissipative forces in the example of a spherical pendulum	25
On one interpolation inequality and its application to the Bürgers equation	24
Implications of generalized Compton wavelength in the effects of general relativity	16
Local dynamics of equation with periodically distributed delay	15
Hall current and MHD impacts on a 3D Maxwell nanofluid flow across a porous stretching surface	14
Dimensional reduction of nonlinear differential equations on homogeneous spaces	14
Nonlinear dynamics of a two-axis ferromagnet on the semiaxis	13
Existence and stability of stationary solutions with boundary layers in a system of fast and slow reaction–diffusion–advection equations with KPZ nonlinearities	12
Periodic traveling waves in a nonlocal erosion equation	11
Analogue of Goeritz matrices for computation of bipartite HOMFLY–PT polynomials	10
Feynman integral in QFT and white noise on a compactified version of space–time with a Lie group structure	10
On Darboux integrable equations with non-autonomous first-order integrals	10
The focusing coupled modified Korteweg–de Vries equation with nonzero boundary conditions: the Riemann–Hilbert problem and soliton classification	10
Shanks extrapolation method and exact solutions of equations of nonlinear mathematical physics	10
On the construction of integrable symplectic mappings	9
Long-time asymptotic behavior and bound state soliton solutions for a generalized derivative nonlinear Schrödinger equation	9
Evolution of flat perturbations in a cosmological environment of a scalar field with self-action and an ideal scalar-neutral fluid	9
Minimal realizations and scaling invariance of the discrete KP hierarchy and its strict version	8
Riemann–Hilbert approach to coupled nonlinear Schrödinger equations on a half-line	8
Nonexplicit versions of integrable equations	8
Nonstandard Lagrangians for a real scalar field and a fermion field from the nonuniqueness principle	8
Transport solutions for biquaternion generalizations of Dirac and Maxwell equations at subluminal speeds and their properties	7

Stability of a stationary solution of a system of activator–inhibitor-type equations with a double-scale internal transition layer	7
Review of exact solutions and reductions of Monge–Ampère type equations	7
Dynamics of three-dimensional localized wave packets defined by the spherical Bessel function $$\mathbf{j}_0(x)$$	7
Jacobi inversion and solutions of Hitchin systems	7
Gibbs measures for the Potts model with a countable set of spin values on a Cayley tree	7
Universality of stochastic Laplacian growth	6
Approximate analytic solution of the Logunov–Tavkhelidze equation for a one-dimensional oscillator potential in the relativistic configuration representation	6
Derivative forms of the three-component nonlinear Schrödinger equation and their simplest solutions	6
A new solvable two-matrix model and the BKP tau function	6
On the unique solvability of the div–curl problem in unbounded domains and energy estimates of solutions	6
Fractional multiple trapping model of time-of-flight transient photocurrents in amorphous semiconductors	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	6
Symmetries of the multicomponent $$q$$-KP hierarchy on a Grassmannian	6
Recent progress in the theory of functions of several complex variables and complex geometry	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 alleged solutions of the cubically nonlinear Schrödinger equation	6
On the properties of solutions of a system of two nonlinear differential equations associated with the Josephson model	6
Multidimensional Zaremba problem for the $$p(\,\cdot\,)$$-Laplace equation. A Boyarsky–Meyers estimate	6
Evolution of plane perturbations in the cosmological environment of the Higgs scalar field and an ideal scalar-charged fluid	6
Magnetohydrodynamic unsteady rotating Casson fluid flow with Hall and ion-slip impacts	5
Néel temperature of a quasi-two-dimensional triangular-lattice antiferromagnet	5
On Dirichlet problem	5
Bose gas modeling of the Schwarzschild black hole thermodynamics	5
The structure of quantum corrections and exact results in supersymmetric theories from the higher covariant derivative regularization	5
Dynamics of a three species syn-ecological ammensalsim model: A stochastic approach	5
Study of a flat universe using the FRW model	5
Superstatistical properties of the Dirac oscillator with gamma, lognormal, and F distributions	5
Discrete symmetries of integrable differential equations	5
Rogue waves of the $$(2+1)$$-dimensional integrable reverse space–time nonlocal Schrödinger equation	5
Gateway-like absurdly benign traversable wormhole solutions	5
Constrained discrete KP hierarchy: The constraint on the tau functions and gauge transformations	5
Breather, rogue wave, lump, and interaction solutions of the $$(2+1)$$-dimensional generalized nonlocal Mel’nikov system	5
Complex energies and the Lambert $$W$$ function	5
Fermionic fields in a four-dimensional $$\Lambda$$ Bonnor–Melvin space–time	5
The description of generalized translation-invariant $$p$$-adic Gibbs measures for the Potts model on the Cayley tree of order three	5
Entanglement entropy of a near-extremal black hole	5
Green–Kubo formula for electrical conductivity of a driven $$0$$–$$\pi$$ qubit	5
Stationary thermal front in the problem of reconstructing the semiconductor thermal conductivity coefficient using simulation data	5
Nonabelian fermionic T-duality for the fundamental string	4
Tau functions of the UC hierarchy as partition functions of matrix models	4
Higher spins in harmonic superspace	4
Three-electron first doublet in the impurity Hubbard model	4
Nonlocal abstract Ginzburg–Landau-type equations and applications	4
Analytical properties of the spectral problem for the internal gravity waves equation with shear flows under critical wave generation modes	4
Euler’s difference table and the decomposition of tensor powers of the adjoint representation of the $$A_n$$ Lie algebra	4
Hamiltonian mapping and quantum perturbation equations in the point matter black hole and noncommutative black hole models	4
Strong decays of the charmonium-like state $$Y(4230)$$ and radiative transitions of low-lying charmoniums	4
Influence of quark–gluon string interactions on particle correlations in p+p collisions	4
Generalized uncertainty relations, particles, black holes, and Casimir effect in the three-dimensional quantum vacuum	4

Nonlinearity in the inverse problems of orbital dynamics using the example of potentially hazardous asteroids and outer satellites of Jupiter	4
The $$\pm J$$ distribution in the mixed spin-$$1/2$$ and $$5/2$$ Blume–Capel model	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
Modular-type nonlinearity in the modeling of tumor spheroid growth	4
Algebraic structures behind the Yang–Baxterization process	4
Quasi-Grammian soliton and kink dynamics of an $$M$$-component semidiscrete coupled integrable system	4
Existence and stability of a stable stationary solution with a boundary layer for a system of reaction–diffusion equations with Neumann boundary conditions	4
Solutions of the analogues of time-dependent Schrödinger equations corresponding to a pair of $$H^{3+2}$$ Hamiltonian systems	4
On solutions of matrix soliton equations	4
Hamiltonian dynamics of a spaceship in Alcubierre and Gödel metrics: Recursion operators and underlying master symmetries	4
Investigation of the transition to instability of the water boiling front during injection into a geothermal reservoir	4
On the Hirota equation with a self-consistent source	4
Using the Kantorovich–Galerkin approach to analyze the resonant characteristics of damped systems	4
Second-order quantum argument shifts in $$Ugl_d$$	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
Superpositions of coherent states determined by Gauss sums	4
Two-species reaction–diffusion system in the presence of random velocity fluctuations	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
Stabilization of the front in a medium with discontinuous characteristics	4
Study of small perturbations of a stationary state in a model of upper hybrid plasma oscillations	4
Lotka–Volterra model with mutations and generative adversarial networks	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
Noether charge, thermodynamics and phase transition of a black hole in the Schwarzschild– anti-de Sitter–Beltrami spacetime	4
Nonlocality, integrability, and solitons	3
Butterfly velocity and chaos suppression in de Sitter space	3
$$n$$-valued quandles and associated bialgebras	3
Hall current and thermal diffusion effects on an unsteady MHD free convection flow of non-Newtonian fluid	3
Einstein–dilaton-four–Maxwell holographic anisotropic models	3
Black brane/Bose gas duality and the third law of thermodynamics	3
Solution of the fractional Liouville equation by using Riemann–Liouville and Caputo derivatives in statistical mechanics	3
Rational solutions of nonautonomous quadrilateral equations by the bilinearization of Bäcklund transformation systems	3
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	3
Exact smooth and nonsmooth solutions for integro-partial differential equations by rapidly convergent approximation method	3
Dynamical description of the phase transition to the superconducting state	3
A coupled mathematical model for wind and sand dynamics	3
Set-theoretical solutions of the Zamolodchikov tetrahedron equation on associative rings and Liouville integrability	3
On partially hyperbolic symplectic automorphisms of a 6-torus	3
Similarity of cosmological models and its application to the analysis of cosmological evolution	3
Cauchy matrix approach to the noncommutative Kadomtsev–Petviashvili equation with self-consistent sources	3
Implicit quiescent solitons in optical metamaterials with an array of self-phase modulation structures by Lie symmetry	3
On the geometric anatomy of a nonwandering continuum possessing the Wada property	3
Hybrid FEM-neural network approach to radiative slip flow of TiO$$_2$$–SiO$$_2$$ nanofluid over stretching surfaces	3
Magnetohydrodynamic flow through a porous medium in a coaxial circular duct	3
Two-dimensional Dirac oscillator in a magnetic field in deformed phase space with minimal-length uncertainty relations	3
Solution of double and triple sine-Gordon equations	3
Unitary representation of walks along random vector fields and the Kolmogorov–Fokker–Planck equation in a Hilbert space	3
Periodic solutions of a differential equation with a discontinuous delayed neutral-type feedback	3
Composite operators of stochastic model A	3
Self-gravitating Higgs field of scalar charge	3
Application of the trigonal curve to a hierarchy of generalized Toda lattices	3
Direct sampling method for the inverse elastic wave scattering problem	3
Minimal algebraic solutions of the sixth Painlevé equation	3
On the uniqueness problem for a central invariant manifold	3
Lie group geometry: Riemann and Ricci tensors and normal forms of Lie algebras	3
On Poincaré–Birkhoff–Witt basis of the quantum general linear superalgebra	3
Periodic Gibbs measures for the three-state SOS model on a Cayley tree with a translation-invariant external field	3
Accelerating barotropic fluid cosmological model in $$f(R,T)$$ gravity	3
Cycles with the embedded bursting effect in a circle of neural oscillators	3
Duffin–Kemmer–Petiau oscillator in topologically charged Ellis–Bronnikov-type wormhole	3
Lie algebraic approach to the Hellmann Hamiltonian by considering perturbation method	3
On an alternative stratification of knots	3
A new stability equation for the Abelian Higgs–Kibble model with a dimension-6 derivative operator	3
Bernoulli shifts in predator–prey mappings	3
Affine super-Yangian and a quantum Weyl groupoid	2
The emergence of Airy stress function in two-dimensional disordered packings of particles	2
Quasi-Grammian loop dynamics of a multicomponent semidiscrete short pulse equation	2
On the integrable symplectic map and the $$N$$-soliton solution of the Toda lattice	2
On qualitative properties of the solution of a boundary value problem for a system of nonlinear integral equations	2
Blow-up of the solution to the Cauchy problem for one $$(N+1)$$-dimensional composite-type equation with gradient nonlinearity	2
Cauchy invariants and exact solutions of nonlinear equations of hydrodynamics	2
Asymptotics of solutions of the Schrödinger equation with a two-dimensional quadratic inverted potential and localized right-hand side	2
Measuring the coupling constant of polarized fermions via sound wave spectra	2
Structure of the canonical uniton factorization of a solution of a noncommutative unitary sigma model	2
Chaos game in an extended hyperbolic plane	2
Darboux transformation for the defocusing modified complex short-pulse equation and its multi-dark-soliton solutions	2
Asymptotic expansions for a class of singular integrals emerging in nonlinear wave systems	2
Yang–Baxter equation in all dimensions and universal qudit gates	2

Generating quantum dynamical mappings	2
Mechanism for the formation of an inhomogeneous nanorelief and bifurcations in a nonlocal erosion equation	2
Potts model on a Cayley tree: a new class of Gibbs measures	2
Vector fields and invariants of the full symmetric Toda system	2
Separation of variables in the Hamilton–Jacobi equation for geodesics in two and three dimensions	2
Multiple mirrors and the JKLMR conjecture	2
Coefficient reconstruction problem for the two-dimensional viscoelasticity equation in a weakly horizontally inhomogeneous medium	2
Classification of semidiscrete equations of hyperbolic type. The case of fifth-order symmetries	2
Equivalence of two constructions for $$\widehat{sl}_2$$-integrable hierarchies	2
Quantifying the irreversibility of channels	2
Three-loop $$\beta$$-functions and NSVZ relations for the MSSM regularized by higher covariant derivatives	2
Integration of the Hirota equation with time-dependent coefficients	2
Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation	2
Two-dimensional Riemann–Hilbert problem for commutative monodromy on an elliptic curve	2
Resonance fluorescence of polar quantum systems in a bichromatic field	2
Interrelations between dualities in classical integrable systems and a classical–classical version of the quantum–classical duality	2
Tau-function of the B-Toda hierarchy	2
A nonlocal finite-dimensional integrable system related to the nonlocal mKdV equation	2
Cauchy matrix approach to the nonisospectral and variable-coefficient Kadomtsev–Petviashvili equation	2
Bases and interbasis expansions in the generalized MIC–Kepler problem in the continuous spectrum and the scattering problem	2
Generalized theta series and monodromy of a Casimir connection. Case of rank 1	2
Dunkl-corrected deformation of RN–AdS black hole thermodynamics	2
Translation-invariant Gibbs measures for the Ising–Potts model on a second-order Cayley tree	2
On a weak periodic internal layer in a problem with a discontinuous reaction	2
First triplet four-electron state in the impurity Hubbard model. Three-dimensional case	2
Generalized nonlinear Schrödinger equation for longitudinal deformation waves in an acoustic metamaterial	2
Quantum Coulomb problem in a Gaussian time-dependent electric field within the path integral formalism	2
On Killing tensors in three-dimensional Euclidean space	2
$$\mathcal S$$-modular transformation of the $$\mathcal N=2$$ superconformal algebra characters	2
Classification of solutions of the generalized mixed nonlinear Schrödinger equation	2
Heterogeneity effect in the statistical analysis of plasma density	2
Explicit multiple solitons of the mixed Chen–Lee–Liu equation derived from the Riemann–Hilbert approach	2
Emptiness formation probability in the one-dimensional Bose gas with attraction	2
Effects of changing the multiplicity of terms in the Cauchy problem for the Dirac equation in graphene with a constant electric field and a localized initial condition	2
On the problem of classifying integrable chains with three independent variables	2
Gibbs measures for the HC Blume–Capel model with countably many states on a Cayley tree	2
Geometry and quasiclassical quantization of magnetic monopoles	2
On the combination of Lebesgue and Riemann integrals in theory of convolution equations	2
Machine learning of the well-known things	2
The impact of the Wiener process on solutions of the potential Yu–Toda–Sasa–Fukuyama equation in a two-layer liquid	2
Kinetic coefficients in a time-dependent Green’s function formalism at finite temperature	2
Gauge coupling unification in the flipped $$E_8$$ GUT	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
On the existence of a nonextendable solution of the Cauchy problem for a $$(3+1)$$-dimensional thermal–electrical model	2
The Hankel determinant for a semiclassical Laguerre unitary ensemble, Painlevé IV and Heun equations	2
Collective transformations of quantum states with postselection and their application to quantum cryptography	2
A characterization of Gibbs semigroups	2
Integration of the Kaup–Boussinesq system with time-dependent coefficients	2
Effects of thermo physical aspects of radiant-heating on an unsteady magnetohydrodynamic hybrid nanofluid flow	2
Nonlinear longitudinal spatially localized deformation waves propagating in a Bishop rod located in a magnetic field and having material damage	2
Self-oscillatory processes in a discrete $$RCL$$-line with a tunnel diode	2
Particle creation in cosmological space–time by a time-varying electric field	2
Violation of the $$T$$ invariance in the probabilities of spin–flavor transitions of neutrino characterized by a real mixing matrix	2
A $$\bar{\partial}$$-method for the $$(2+1)$$-dimensional coupled Boussinesq equation and its integrable extension	2
Analysis of the asymptotic convergence of periodic solution of the Mackey–Glass equation to the solution of the limit relay equation	1
Regular line-solitons of modified KP system and vertex operators	1
Generalized universal characters, generalized B-type universal characters, and generalized symplectic universal characters	1
A generalized Crewther relation and the V scheme: analytic results in fourth-order perturbative QCD and QED	1
Conformal invariance and phenomenology of particle creation: Weyl geometry vs. Riemannian geometry	1
Keldysh diagram technique with non-Gaussian initial correlations	1
Classical $$6j$$-symbols of finite-dimensional representations of the algebra $$\mathfrak{gl}_3$$	1
Rolling motion dynamics of a spherical robot with a pendulum actuator controlled by the Bilimovich servo-constraint	1
On the extended 2-dimensional Toda lattice models	1
Internal solitary waves with trapped cores in multilayer shallow water	1
Khoroshkin–Tolstoy approach to quantum superalgebras	1
Asymptotic solution convergence to a traveling wave in the Kolmogorov–Petrovskii–Piskunov equation	1
Integration of the generalized Camassa–Holm equation in the class of periodic functions	1
Multi-point passage probabilities and Green’s functions for SLE$${}_{8/3}$$	1
Erratum to: Boundedness-below conditions for a general scalar potential of two real scalar fields and the Higgs boson	1
Majorana tower and cellular automaton interpretation of quantum mechanics down to Planck scales	1
$$\text{Spin}^c$$-structures and Seiberg–Witten equations	1
Cosymmetries of chiral-type systems	1
Minimizing the number of heteroclinic curves of a 3-diffeomorphism with fixed points with pairwise different Morse indices	1
Trace formula for the $$RTT$$-algebra of $$sp(4)$$ type	1
Riemann–Hilbert approach and $$N$$-soliton solutions of the two-component Kundu–Eckhaus equation	1
Total, classical, and quantum uncertainty matrices via operator monotone functions	1
Gauge equivalence of $$1+1$$ Calogero–Moser–Sutherland field theory and a higher-rank trigonometric Landau–Lifshitz model	1
Scalar products of Bethe vectors in the generalized algebraic Bethe ansatz	1
Local attractors of one of the original versions of the Kuramoto–Sivashinsky equation	1
Solving the missing baryon problem: A review of observational and theoretical advances	1
Comparative analysis of the generalized unified method with some exact solution methods and general solutions of the Biswas–Milovic equation	1
Effects of aligned magnetic field and thermal radiation on an unsteady MHD Jeffrey nanofluid flow past an isothermal inclined plate	1
Quantization of electromagnetic field in the Schwarzschild spacetime	1
On the smoothness of the solution of one nonlinear equation with gradient nonlinearity	1
Elliptic hypergeometric function and $$6j$$-symbols for the $$SL(2,{\mathbb C})$$ group	1
Review of methods for constructing exact solutions of equations of mathematical physics based on simpler solutions	1
The three-component coupled time-varying coefficient complex mKdV equation via the $$\bar{\partial}$$-dressing method	1
Integrals of tau functions: A round dance tau function and multimatrix integrals	1
Coupled KP and BKP hierarchies and the corresponding symmetric functions	1
Groups of diagonal gates in the Clifford hierarchy	1
Darboux transformations for the discrete versions of the KP and strict KP hierarchies	1
Multibreather-like solutions of the real and complex reverse space–time nonlocal defocusing short-pulse equations	1
Fluorescence of incoherently pumped open polar quantum system driven by a nonresonant pulse	1
Shapovalov elements and Hasse diagrams	1