Theoretical and Mathematical Physics

Article	Citations
Analogue of Goeritz matrices for computation of bipartite HOMFLY–PT polynomials	65
Shanks extrapolation method and exact solutions of equations of nonlinear mathematical physics	30
On Darboux integrable equations with non-autonomous first-order integrals	29
Extensions of Yang–Baxter sets	24
Symmetry transformations of the vortex field statistics in optical turbulence	16
Elliptic families of solutions of the constrained Toda hierarchy	15
Local dynamics of equation with periodically distributed delay	15
On one interpolation inequality and its application to the Bürgers equation	15
Existence and stability of stationary solutions with boundary layers in a system of fast and slow reaction–diffusion–advection equations with KPZ nonlinearities	13
Implications of generalized Compton wavelength in the effects of general relativity	13
Dimensional reduction of nonlinear differential equations on homogeneous spaces	12
Periodic traveling waves in a nonlocal erosion equation	10
Feynman integral in QFT and white noise on a compactified version of space–time with a Lie group structure	10
Nonlinear dynamics of a two-axis ferromagnet on the semiaxis	10
Riemann–Hilbert approach to coupled nonlinear Schrödinger equations on a half-line	10
Long-time asymptotic behavior and bound state soliton solutions for a generalized derivative nonlinear Schrödinger equation	10
The focusing coupled modified Korteweg–de Vries equation with nonzero boundary conditions: the Riemann–Hilbert problem and soliton classification	10
Nonstandard Lagrangians for a real scalar field and a fermion field from the nonuniqueness principle	9
On the construction of integrable symplectic mappings	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
Derivative forms of the three-component nonlinear Schrödinger equation and their simplest solutions	8
Nonexplicit versions of integrable equations	8
Hall current and MHD impacts on a 3D Maxwell nanofluid flow across a porous stretching surface	8
Stability of a stationary solution of a system of activator–inhibitor-type equations with a double-scale internal transition layer	7

Universality of stochastic Laplacian growth	7
Transport solutions for biquaternion generalizations of Dirac and Maxwell equations at subluminal speeds and their properties	7
Review of exact solutions and reductions of Monge–Ampère type equations	7
Gibbs measures for the Potts model with a countable set of spin values on a Cayley tree	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
Energy–momentum tensor of a causally disconnected region of the Universe, the cosmological constant, and the inflationary model	6
Fractional multiple trapping model of time-of-flight transient photocurrents in amorphous semiconductors	6
Recent progress in the theory of functions of several complex variables and complex geometry	6
Symmetries of the multicomponent $$q$$-KP hierarchy on a Grassmannian	6
Superstatistical properties of the Dirac oscillator with gamma, lognormal, and F distributions	6
Study of a flat universe using the FRW model	6
Jacobi inversion and solutions of Hitchin systems	6
On the properties of solutions of a system of two nonlinear differential equations associated with the Josephson model	6
Approximate analytic solution of the Logunov–Tavkhelidze equation for a one-dimensional oscillator potential in the relativistic configuration representation	6
A new solvable two-matrix model and the BKP tau function	6
Complex energies and the Lambert $$W$$ function	6
Some new methods for studying boundary value problems for general partial differential equations	6
Dynamics of three-dimensional localized wave packets defined by the spherical Bessel function $$\mathbf{j}_0(x)$$	6
On alleged solutions of the cubically nonlinear Schrödinger equation	6
Multidimensional Zaremba problem for the $$p(\,\cdot\,)$$-Laplace equation. A Boyarsky–Meyers estimate	6
On the unique solvability of the div–curl problem in unbounded domains and energy estimates of solutions	6
Magnetohydrodynamic unsteady rotating Casson fluid flow with Hall and ion-slip impacts	6
Néel temperature of a quasi-two-dimensional triangular-lattice antiferromagnet	5
On Dirichlet problem	5
Breather, rogue wave, lump, and interaction solutions of the $$(2+1)$$-dimensional generalized nonlocal Mel’nikov system	5
Evolution of plane perturbations in the cosmological environment of the Higgs scalar field and an ideal scalar-charged fluid	5
Hamiltonian mapping and quantum perturbation equations in the point matter black hole and noncommutative black hole models	5
Quasi-Grammian soliton and kink dynamics of an $$M$$-component semidiscrete coupled integrable system	5
Green–Kubo formula for electrical conductivity of a driven $$0$$–$$\pi$$ qubit	5
Rogue waves of the $$(2+1)$$-dimensional integrable reverse space–time nonlocal Schrödinger equation	5
Dynamics of a three species syn-ecological ammensalsim model: A stochastic approach	5
Fermionic fields in a four-dimensional $$\Lambda$$ Bonnor–Melvin space–time	5
Nonabelian fermionic T-duality for the fundamental string	5
Second-order quantum argument shifts in $$Ugl_d$$	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
Stationary thermal front in the problem of reconstructing the semiconductor thermal conductivity coefficient using simulation data	5
Discrete symmetries of integrable differential equations	5
Constrained discrete KP hierarchy: The constraint on the tau functions and gauge transformations	5
Bose gas modeling of the Schwarzschild black hole thermodynamics	5
Cauchy problem for a nonlinear Schrödinger equation with a large initial gradient in the weakly dispersive limit	5
Gateway-like absurdly benign traversable wormhole solutions	5
Lotka–Volterra model with mutations and generative adversarial networks	4
$$n$$-valued quandles and associated bialgebras	4
On the geometric anatomy of a nonwandering continuum possessing the Wada property	4
Higher spins in harmonic superspace	4
Nonlinearity in the inverse problems of orbital dynamics using the example of potentially hazardous asteroids and outer satellites of Jupiter	4
Stabilization of the front in a medium with discontinuous characteristics	4
Three-electron first doublet in the impurity Hubbard 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

Noether charge, thermodynamics and phase transition of a black hole in the Schwarzschild– anti-de Sitter–Beltrami spacetime	4
The $$\pm J$$ distribution in the mixed spin-$$1/2$$ and $$5/2$$ Blume–Capel model	4
Hall current and thermal diffusion effects on an unsteady MHD free convection flow of non-Newtonian fluid	4
Strong decays of the charmonium-like state $$Y(4230)$$ and radiative transitions of low-lying charmoniums	4
Euler’s difference table and the decomposition of tensor powers of the adjoint representation of the $$A_n$$ Lie algebra	4
On solutions of matrix soliton equations	4
Lie group geometry: Riemann and Ricci tensors and normal forms of Lie algebras	4
Generalized uncertainty relations, particles, black holes, and Casimir effect in the three-dimensional quantum vacuum	4
Modular-type nonlinearity in the modeling of tumor spheroid growth	4
On the Hirota equation with a self-consistent source	4
Nonlocal abstract Ginzburg–Landau-type equations and applications	4
Solutions of the analogues of time-dependent Schrödinger equations corresponding to a pair of $$H^{3+2}$$ Hamiltonian systems	4
Using the Kantorovich–Galerkin approach to analyze the resonant characteristics of damped systems	4
Superpositions of coherent states determined by Gauss sums	4
The structure of quantum corrections and exact results in supersymmetric theories from the higher covariant derivative regularization	4
Bernoulli shifts in predator–prey mappings	4
Influence of quark–gluon string interactions on particle correlations in p+p collisions	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
Hybrid FEM-neural network approach to radiative slip flow of TiO$$_2$$–SiO$$_2$$ nanofluid over stretching surfaces	4
Cauchy matrix approach to the noncommutative Kadomtsev–Petviashvili equation with self-consistent sources	4
Two-species reaction–diffusion system in the presence of random velocity fluctuations	4
On the $$k$$th higher Nash blow-up derivation Lie algebras of isolated hypersurface singularities	4
Algebraic structures behind the Yang–Baxterization process	4
On symmetries of the nonstationary $$\mathrm{P}_\mathrm{II}^{(n)}$$ hierarchy and their applications	4
Tau functions of the UC hierarchy as partition functions of matrix models	4
Analytical properties of the spectral problem for the internal gravity waves equation with shear flows under critical wave generation modes	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
Infinitely many rotating periodic solutions for damped vibration systems	4
Analytical properties of solutions to nonlinear systems of differential equations associated with some random matrix type models	4
Hamiltonian dynamics of a spaceship in Alcubierre and Gödel metrics: Recursion operators and underlying master symmetries	4
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
On an alternative stratification of knots	3
Lie algebraic approach to the Hellmann Hamiltonian by considering perturbation method	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
Solution of the fractional Liouville equation by using Riemann–Liouville and Caputo derivatives in statistical mechanics	3
On Poincaré–Birkhoff–Witt basis of the quantum general linear superalgebra	3
Direct sampling method for the inverse elastic wave scattering problem	3
A coupled mathematical model for wind and sand dynamics	3
On the uniqueness problem for a central invariant manifold	3
Set-theoretical solutions of the Zamolodchikov tetrahedron equation on associative rings and Liouville integrability	3
On the problem of classifying integrable chains with three independent variables	3
Similarity of cosmological models and its application to the analysis of cosmological evolution	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
Periodic Gibbs measures for the three-state SOS model on a Cayley tree with a translation-invariant external field	3
Dynamical description of the phase transition to the superconducting state	3
Periodic solutions of a differential equation with a discontinuous delayed neutral-type feedback	3
Self-gravitating Higgs field of scalar charge	3
Einstein–dilaton-four–Maxwell holographic anisotropic models	3
Minimal algebraic solutions of the sixth Painlevé equation	3
On partially hyperbolic symplectic automorphisms of a 6-torus	3
A new stability equation for the Abelian Higgs–Kibble model with a dimension-6 derivative operator	3
Three-loop $$\beta$$-functions and NSVZ relations for the MSSM regularized by higher covariant derivatives	3
Rational solutions of nonautonomous quadrilateral equations by the bilinearization of Bäcklund transformation systems	3
Asymptotics of solutions of the Schrödinger equation with a two-dimensional quadratic inverted potential and localized right-hand side	3
Exact smooth and nonsmooth solutions for integro-partial differential equations by rapidly convergent approximation method	3
Composite operators of stochastic model A	3
Nonlocality, integrability, and solitons	3
Magnetohydrodynamic flow through a porous medium in a coaxial circular duct	3
Black brane/Bose gas duality and the third law of thermodynamics	3
Butterfly velocity and chaos suppression in de Sitter space	3
Implicit quiescent solitons in optical metamaterials with an array of self-phase modulation structures by Lie symmetry	3
Accelerating barotropic fluid cosmological model in $$f(R,T)$$ gravity	3
Application of the trigonal curve to a hierarchy of generalized Toda lattices	3
Two-dimensional Dirac oscillator in a magnetic field in deformed phase space with minimal-length uncertainty relations	3
Separation of variables in the Hamilton–Jacobi equation for geodesics in two and three dimensions	2
A nonlocal finite-dimensional integrable system related to the nonlocal mKdV equation	2
Cauchy invariants and exact solutions of nonlinear equations of hydrodynamics	2
Darboux transformation for the defocusing modified complex short-pulse equation and its multi-dark-soliton solutions	2
Generalized nonlinear Schrödinger equation for longitudinal deformation waves in an acoustic metamaterial	2
On the integrable symplectic map and the $$N$$-soliton solution of the Toda lattice	2
Explicit multiple solitons of the mixed Chen–Lee–Liu equation derived from the Riemann–Hilbert approach	2
Geometry and quasiclassical quantization of magnetic monopoles	2
Integration of the Hirota equation with time-dependent coefficients	2
Equivalence of two constructions for $$\widehat{sl}_2$$-integrable hierarchies	2
Gauge coupling unification in the flipped $$E_8$$ GUT	2
Integrals and characteristic algebras for systems of discrete equations on a quadrilateral graph	2
Dunkl-corrected deformation of RN–AdS black hole thermodynamics	2
On the blowup of solutions of the Cauchy problem for nonlinear equations of ferroelectricity theory	2

Emptiness formation probability in the one-dimensional Bose gas with attraction	2
Gibbs measures for the HC Blume–Capel model with countably many states on a Cayley tree	2
Vector fields and invariants of the full symmetric Toda system	2
Tau-function of the B-Toda hierarchy	2
Translation-invariant Gibbs measures for the Ising–Potts model on a second-order Cayley tree	2
Integration of the Kaup–Boussinesq system with time-dependent coefficients	2
$$\mathcal S$$-modular transformation of the $$\mathcal N=2$$ superconformal algebra characters	2
The Hankel determinant for a semiclassical Laguerre unitary ensemble, Painlevé IV and Heun equations	2
Asymptotic expansions for a class of singular integrals emerging in nonlinear wave systems	2
On a weak periodic internal layer in a problem with a discontinuous reaction	2
The impact of the Wiener process on solutions of the potential Yu–Toda–Sasa–Fukuyama equation in a two-layer liquid	2
Cauchy matrix approach to the nonisospectral and variable-coefficient Kadomtsev–Petviashvili equation	2
Self-oscillatory processes in a discrete $$RCL$$-line with a tunnel diode	2
Kinetic coefficients in a time-dependent Green’s function formalism at finite temperature	2
Chaos game in an extended hyperbolic plane	2
Coefficient reconstruction problem for the two-dimensional viscoelasticity equation in a weakly horizontally inhomogeneous medium	2
Quantifying the irreversibility of channels	2
Resonance fluorescence of polar quantum systems in a bichromatic field	2
Quasi-Grammian loop dynamics of a multicomponent semidiscrete short pulse equation	2
A direct method for solving Lax equations	2
On qualitative properties of the solution of a boundary value problem for a system of nonlinear integral equations	2
Toy model of a Boltzmann-type equation for the contact force distribution in disordered packings of particles	2
Structure of the canonical uniton factorization of a solution of a noncommutative unitary sigma model	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
Blow-up of the solution to the Cauchy problem for one $$(N+1)$$-dimensional composite-type equation with gradient nonlinearity	2
Multiple mirrors and the JKLMR conjecture	2
Quantum Coulomb problem in a Gaussian time-dependent electric field within the path integral formalism	2
Effects of thermo physical aspects of radiant-heating on an unsteady magnetohydrodynamic hybrid nanofluid flow	2
Generalized theta series and monodromy of a Casimir connection. Case of rank 1	2
On the combination of Lebesgue and Riemann integrals in theory of convolution equations	2
Potts model on a Cayley tree: a new class of Gibbs measures	2
Generating quantum dynamical mappings	2
Nonlinear longitudinal spatially localized deformation waves propagating in a Bishop rod located in a magnetic field and having material damage	2
First triplet four-electron state in the impurity Hubbard model. Three-dimensional case	2
Measuring the coupling constant of polarized fermions via sound wave spectra	2
Collective transformations of quantum states with postselection and their application to quantum cryptography	2
Mechanism for the formation of an inhomogeneous nanorelief and bifurcations in a nonlocal erosion equation	2
Particle creation in cosmological space–time by a time-varying electric field	2
Classification of semidiscrete equations of hyperbolic type. The case of fifth-order symmetries	2
Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation	2
Interrelations between dualities in classical integrable systems and a classical–classical version of the quantum–classical duality	2
Error estimates of the Galerkin method for a weakly solvable parabolic equation with a nonlocal-in-time condition for the solution	2
Violation of the $$T$$ invariance in the probabilities of spin–flavor transitions of neutrino characterized by a real mixing matrix	2
Linear stability of filtration flow of a gas and two immiscible liquids with interfaces in the context of the Forchheimer law	2
Machine learning of the well-known things	2
Solitons in a semi-infinite ferromagnet with anisotropy of the easy axis type	2
Bases and interbasis expansions in the generalized MIC–Kepler problem in the continuous spectrum and the scattering problem	2
Classification of solutions of the generalized mixed nonlinear Schrödinger equation	2
The emergence of Airy stress function in two-dimensional disordered packings of particles	2
A $$\bar{\partial}$$-method for the $$(2+1)$$-dimensional coupled Boussinesq equation and its integrable extension	2
Affine super-Yangian and a quantum Weyl groupoid	2
On Killing tensors in three-dimensional Euclidean space	2
On the existence of a nonextendable solution of the Cauchy problem for a $$(3+1)$$-dimensional thermal–electrical model	2
Heterogeneity effect in the statistical analysis of plasma density	2
A characterization of Gibbs semigroups	2
Yang–Baxter equation in all dimensions and universal qudit gates	2
Fluorescence of incoherently pumped open polar quantum system driven by a nonresonant pulse	1
Classical $$6j$$-symbols of finite-dimensional representations of the algebra $$\mathfrak{gl}_3$$	1
Quantization of electromagnetic field in the Schwarzschild spacetime	1
Riemann–Hilbert approach and $$N$$-soliton solutions of the two-component Kundu–Eckhaus equation	1
Shapovalov elements and Hasse diagrams	1
Asymptotic solution convergence to a traveling wave in the Kolmogorov–Petrovskii–Piskunov equation	1
$$\text{Spin}^c$$-structures and Seiberg–Witten equations	1
A generalized Crewther relation and the V scheme: analytic results in fourth-order perturbative QCD and QED	1
Majorana tower and cellular automaton interpretation of quantum mechanics down to Planck scales	1
Trace formula for the $$RTT$$-algebra of $$sp(4)$$ type	1
On the extended 2-dimensional Toda lattice models	1
Multibreather-like solutions of the real and complex reverse space–time nonlocal defocusing short-pulse equations	1
The three-component coupled time-varying coefficient complex mKdV equation via the $$\bar{\partial}$$-dressing method	1
Local attractors of one of the original versions of the Kuramoto–Sivashinsky equation	1
Comparative analysis of the generalized unified method with some exact solution methods and general solutions of the Biswas–Milovic equation	1
Solving the missing baryon problem: A review of observational and theoretical advances	1
Multi-point passage probabilities and Green’s functions for SLE$${}_{8/3}$$	1
On the smoothness of the solution of one nonlinear equation with gradient nonlinearity	1
Manin triples and $$O(4,4)$$ dualities	1
A class of field equations for neutrinos with nonzero masses	1
Elliptic hypergeometric function and $$6j$$-symbols for the $$SL(2,{\mathbb C})$$ group	1
Keldysh diagram technique with non-Gaussian initial correlations	1
Analysis of the asymptotic convergence of periodic solution of the Mackey–Glass equation to the solution of the limit relay equation	1
Integration of the generalized Camassa–Holm equation in the class of periodic functions	1
Total, classical, and quantum uncertainty matrices via operator monotone functions	1
Coupled KP and BKP hierarchies and the corresponding symmetric functions	1
Darboux transformations for the discrete versions of the KP and strict KP hierarchies	1
Minimizing the number of heteroclinic curves of a 3-diffeomorphism with fixed points with pairwise different Morse indices	1
Effects of aligned magnetic field and thermal radiation on an unsteady MHD Jeffrey nanofluid flow past an isothermal inclined plate	1
Erratum to: Boundedness-below conditions for a general scalar potential of two real scalar fields and the Higgs boson	1
$$\Omega$$-Spectrum in topological phases	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
Cosymmetries of chiral-type systems	1
Conformal invariance and phenomenology of particle creation: Weyl geometry vs. Riemannian geometry	1
Integrals of tau functions: A round dance tau function and multimatrix integrals	1
Gauge equivalence of $$1+1$$ Calogero–Moser–Sutherland field theory and a higher-rank trigonometric Landau–Lifshitz model	1
Groups of diagonal gates in the Clifford hierarchy	1
Khoroshkin–Tolstoy approach to quantum superalgebras	1