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	38
On Darboux integrable equations with non-autonomous first-order integrals	31
Extensions of Yang–Baxter sets	25
Elliptic families of solutions of the constrained Toda hierarchy	17
Symmetry transformations of the vortex field statistics in optical turbulence	17
Local dynamics of equation with periodically distributed delay	16
On one interpolation inequality and its application to the Bürgers equation	16
Existence and stability of stationary solutions with boundary layers in a system of fast and slow reaction–diffusion–advection equations with KPZ nonlinearities	15
Implications of generalized Compton wavelength in the effects of general relativity	15
Long-time asymptotic behavior and bound state soliton solutions for a generalized derivative nonlinear Schrödinger equation	13
The focusing coupled modified Korteweg–de Vries equation with nonzero boundary conditions: the Riemann–Hilbert problem and soliton classification	12
Nonstandard Lagrangians for a real scalar field and a fermion field from the nonuniqueness principle	12
Riemann–Hilbert approach to coupled nonlinear Schrödinger equations on a half-line	12
Feynman integral in QFT and white noise on a compactified version of space–time with a Lie group structure	12
Deviation of trajectories in nonrelativistic and relativistic cases and Shirokov effect	10
Hall current and MHD impacts on a 3D Maxwell nanofluid flow across a porous stretching surface	10
Evolution of flat perturbations in a cosmological environment of a scalar field with self-action and an ideal scalar-neutral fluid	10
Dimensional reduction of nonlinear differential equations on homogeneous spaces	10
Periodic traveling waves in a nonlocal erosion equation	10
On the construction of integrable symplectic mappings	10
Derivative forms of the three-component nonlinear Schrödinger equation and their simplest solutions	9
Nonlinear dynamics of a two-axis ferromagnet on the semiaxis	9
Gibbs measures for the Potts model with a countable set of spin values on a Cayley tree	8
Stability of a stationary solution of a system of activator–inhibitor-type equations with a double-scale internal transition layer	8

Transport solutions for biquaternion generalizations of Dirac and Maxwell equations at subluminal speeds and their properties	8
Minimal realizations and scaling invariance of the discrete KP hierarchy and its strict version	8
Universality of stochastic Laplacian growth	8
Nonexplicit versions of integrable equations	8
Asymptotic solutions of the quantum scattering problem for binary collisions in a system of three charged particles. The inclusion of the dipole interaction	8
On the hypothesis of a second Higgs boson near 0.5 TeV	7
Fractional multiple trapping model of time-of-flight transient photocurrents in amorphous semiconductors	7
Dynamics of three-dimensional localized wave packets defined by the spherical Bessel function $$\mathbf{j}_0(x)$$	7
Review of exact solutions and reductions of Monge–Ampère type equations	7
On alleged solutions of the cubically nonlinear Schrödinger equation	7
Energy–momentum tensor of a causally disconnected region of the Universe, the cosmological constant, and the inflationary model	7
Jacobi inversion and solutions of Hitchin systems	7
On the properties of solutions of a system of two nonlinear differential equations associated with the Josephson model	7
Constrained discrete KP hierarchy: The constraint on the tau functions and gauge transformations	6
Symmetries of the multicomponent $$q$$-KP hierarchy on a Grassmannian	6
Magnetohydrodynamic unsteady rotating Casson fluid flow with Hall and ion-slip impacts	6
Dynamics of a three species syn-ecological ammensalsim model: A stochastic approach	6
Generation of mass and scalar charge of supermassive black holes via the mechanism of scalar-gravitational instability	6
On Dirichlet problem	6
Multidimensional Zaremba problem for the $$p(\,\cdot\,)$$-Laplace equation. A Boyarsky–Meyers estimate	6
Study of a flat universe using the FRW model	6
Discrete symmetries of integrable differential equations	6
Superstatistical properties of the Dirac oscillator with gamma, lognormal, and F distributions	6
A new solvable two-matrix model and the BKP tau function	6
Some new methods for studying boundary value problems for general partial differential equations	6
Stationary thermal front in the problem of reconstructing the semiconductor thermal conductivity coefficient using simulation data	6
On the unique solvability of the div–curl problem in unbounded domains and energy estimates of solutions	6
Bose gas modeling of the Schwarzschild black hole thermodynamics	5
Néel temperature of a quasi-two-dimensional triangular-lattice antiferromagnet	5
Nonabelian fermionic T-duality for the fundamental string	5
Green–Kubo formula for electrical conductivity of a driven $$0$$–$$\pi$$ qubit	5
Second-order quantum argument shifts in $$Ugl_d$$	5
Recent progress in the theory of functions of several complex variables and complex geometry	5
Breather, rogue wave, lump, and interaction solutions of the $$(2+1)$$-dimensional generalized nonlocal Mel’nikov system	5
Hamiltonian mapping and quantum perturbation equations in the point matter black hole and noncommutative black hole models	5
Cauchy problem for a nonlinear Schrödinger equation with a large initial gradient in the weakly dispersive limit	5
Solutions of the analogues of time-dependent Schrödinger equations corresponding to a pair of $$H^{3+2}$$ Hamiltonian systems	5
Entanglement entropy of a near-extremal black hole	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
The description of generalized translation-invariant $$p$$-adic Gibbs measures for the Potts model on the Cayley tree of order three	5
Gateway-like absurdly benign traversable wormhole solutions	5
The $$\pm J$$ distribution in the mixed spin-$$1/2$$ and $$5/2$$ Blume–Capel model	5
Fermionic fields in a four-dimensional $$\Lambda$$ Bonnor–Melvin space–time	5
Noether charge, thermodynamics and phase transition of a black hole in the Schwarzschild– anti-de Sitter–Beltrami spacetime	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
Strong decays of the charmonium-like state $$Y(4230)$$ and radiative transitions of low-lying charmoniums	4
Using the Kantorovich–Galerkin approach to analyze the resonant characteristics of damped systems	4
Einstein–dilaton-four–Maxwell holographic anisotropic models	4

Generalized uncertainty relations, particles, black holes, and Casimir effect in the three-dimensional quantum vacuum	4
A coupled mathematical model for wind and sand dynamics	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
Butterfly velocity and chaos suppression in de Sitter space	4
Cauchy matrix approach to the noncommutative Kadomtsev–Petviashvili equation with self-consistent sources	4
Lotka–Volterra model with mutations and generative adversarial networks	4
Two-species reaction–diffusion system in the presence of random velocity fluctuations	4
Stabilization of the front in a medium with discontinuous characteristics	4
Black brane/Bose gas duality and the third law of thermodynamics	4
Nonlinearity in the inverse problems of orbital dynamics using the example of potentially hazardous asteroids and outer satellites of Jupiter	4
Influence of quark–gluon string interactions on particle correlations in p+p collisions	4
Analytical properties of solutions to nonlinear systems of differential equations associated with some random matrix type models	4
Quasi-Grammian soliton and kink dynamics of an $$M$$-component semidiscrete coupled integrable system	4
Lie group geometry: Riemann and Ricci tensors and normal forms of Lie algebras	4
Three-electron first doublet in the impurity Hubbard model	4
Direct sampling method for the inverse elastic wave scattering problem	4
Tau functions of the UC hierarchy as partition functions of matrix models	4
Minimal algebraic solutions of the sixth Painlevé equation	4
The structure of quantum corrections and exact results in supersymmetric theories from the higher covariant derivative regularization	4
On the uniqueness problem for a central invariant manifold	4
Higher spins in harmonic superspace	4
Euler’s difference table and the decomposition of tensor powers of the adjoint representation of the $$A_n$$ Lie algebra	4
Hybrid FEM-neural network approach to radiative slip flow of TiO$$_2$$–SiO$$_2$$ nanofluid over stretching surfaces	4
Algebraic structures behind the Yang–Baxterization process	4
On the $$k$$th higher Nash blow-up derivation Lie algebras of isolated hypersurface singularities	4
Infinitely many rotating periodic solutions for damped vibration systems	4
On symmetries of the nonstationary $$\mathrm{P}_\mathrm{II}^{(n)}$$ hierarchy and their applications	4
A way to constrain graviton mass from astronomical observations	4
On solutions of matrix soliton equations	4
Modular-type nonlinearity in the modeling of tumor spheroid growth	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
Nonperfect Carrollian fluids through holography	4
Implicit quiescent solitons in optical metamaterials with an array of self-phase modulation structures by Lie symmetry	4
Superpositions of coherent states determined by Gauss sums	4
Hall current and thermal diffusion effects on an unsteady MHD free convection flow of non-Newtonian fluid	4
On an alternative stratification of knots	4
$$n$$-valued quandles and associated bialgebras	4
On the geometric anatomy of a nonwandering continuum possessing the Wada property	4
On the Hirota equation with a self-consistent source	4
Periodic Gibbs measures for the three-state SOS model on a Cayley tree with a translation-invariant external field	3
Nonlocality, integrability, and solitons	3
Magnetohydrodynamic flow through a porous medium in a coaxial circular duct	3
Self-gravitating Higgs field of scalar charge	3
Duffin–Kemmer–Petiau oscillator in topologically charged Ellis–Bronnikov-type wormhole	3
Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation	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
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
Application of the trigonal curve to a hierarchy of generalized Toda lattices	3
Composite operators of stochastic model A	3
Solution of the fractional Liouville equation by using Riemann–Liouville and Caputo derivatives in statistical mechanics	3
On partially hyperbolic symplectic automorphisms of a 6-torus	3
Lie algebraic approach to the Hellmann Hamiltonian by considering perturbation method	3
Exact smooth and nonsmooth solutions for integro-partial differential equations by rapidly convergent approximation method	3
On the integrable symplectic map and the $$N$$-soliton solution of the Toda lattice	3
Asymptotics of solutions of the Schrödinger equation with a two-dimensional quadratic inverted potential and localized right-hand side	3
Rational solutions of nonautonomous quadrilateral equations by the bilinearization of Bäcklund transformation systems	3
Unitary representation of walks along random vector fields and the Kolmogorov–Fokker–Planck equation in a Hilbert space	3
A new stability equation for the Abelian Higgs–Kibble model with a dimension-6 derivative operator	3
Accelerating barotropic fluid cosmological model in $$f(R,T)$$ gravity	3
Similarity of cosmological models and its application to the analysis of cosmological evolution	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
Dynamical description of the phase transition to the superconducting state	3
Resonance fluorescence of polar quantum systems in a bichromatic field	3
Three-loop $$\beta$$-functions and NSVZ relations for the MSSM regularized by higher covariant derivatives	3
Geometry and quasiclassical quantization of magnetic monopoles	3
Cycles with the embedded bursting effect in a circle of neural oscillators	3
On the problem of classifying integrable chains with three independent variables	3
Set-theoretical solutions of the Zamolodchikov tetrahedron equation on associative rings and Liouville integrability	3
A nonlocal finite-dimensional integrable system related to the nonlocal mKdV equation	2
Violation of the $$T$$ invariance in the probabilities of spin–flavor transitions of neutrino characterized by a real mixing matrix	2
Bases and interbasis expansions in the generalized MIC–Kepler problem in the continuous spectrum and the scattering problem	2
Integrals and characteristic algebras for systems of discrete equations on a quadrilateral graph	2
Irregular dynamics of internal waves in a weakly stratified fluid in the viscous Benjamin–Ono equation model	2
The emergence of Airy stress function in two-dimensional disordered packings of particles	2
Particle creation in cosmological space–time by a time-varying electric field	2
Photon emission due to vacuum instability under the action of a quasi-constant electric field	2
The Hankel determinant for a semiclassical Laguerre unitary ensemble, Painlevé IV and Heun equations	2
Measuring the coupling constant of polarized fermions via sound wave spectra	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
Quantifying the irreversibility of channels	2
Potts model on a Cayley tree: a new class of Gibbs measures	2
Point particles as spin chains	2
Generalized nonlinear Schrödinger equation for longitudinal deformation waves in an acoustic metamaterial	2
Heterogeneity effect in the statistical analysis of plasma density	2
Cauchy invariants and exact solutions of nonlinear equations of hydrodynamics	2
Kinetic coefficients in a time-dependent Green’s function formalism at finite temperature	2
Affine super-Yangian and a quantum Weyl groupoid	2
Effects of thermo physical aspects of radiant-heating on an unsteady magnetohydrodynamic hybrid nanofluid flow	2
The impact of the Wiener process on solutions of the potential Yu–Toda–Sasa–Fukuyama equation in a two-layer liquid	2
Tau-function of the B-Toda hierarchy	2
Darboux transformation for the defocusing modified complex short-pulse equation and its multi-dark-soliton solutions	2
Chaos game in an extended hyperbolic plane	2
A $$\bar{\partial}$$-method for the $$(2+1)$$-dimensional coupled Boussinesq equation and its integrable extension	2
Zero-energy states and non-Hermitian skin effect in the infinite double-barrier and finite Su–Schrieffer–Heeger models	2
Emptiness formation probability in the one-dimensional Bose gas with attraction	2
Toy model of a Boltzmann-type equation for the contact force distribution in disordered packings of particles	2
Integration of the Kaup–Boussinesq system with time-dependent coefficients	2
Hamiltonian theory of motion of dark solitons in the theory of nonlinear Schrödinger equation	2
Collective transformations of quantum states with postselection and their application to quantum cryptography	2
Dunkl-corrected deformation of RN–AdS black hole thermodynamics	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
Generating quantum dynamical mappings	2
Translation-invariant Gibbs measures for the Ising–Potts model on a second-order Cayley tree	2
On the existence of a nonextendable solution of the Cauchy problem for a $$(3+1)$$-dimensional thermal–electrical model	2
First triplet four-electron state in the impurity Hubbard model. Three-dimensional case	2
Interrelations between dualities in classical integrable systems and a classical–classical version of the quantum–classical duality	2
A characterization of Gibbs semigroups	2
Cauchy matrix approach to the nonisospectral and variable-coefficient Kadomtsev–Petviashvili equation	2
Nonlinear longitudinal spatially localized deformation waves propagating in a Bishop rod located in a magnetic field and having material damage	2
Yang–Baxter equation in all dimensions and universal qudit gates	2
Self-oscillatory processes in a discrete $$RCL$$-line with a tunnel diode	2
A direct method for solving Lax equations	2
Casimir energy for the interaction of $$n$$ $$\delta$$-plates with a massless real scalar field	2
Equivalence of two constructions for $$\widehat{sl}_2$$-integrable hierarchies	2
Chiral effective potential in four-dimensional $$\mathcal{N}=4$$ SYM theory	2
Charged topological geons with a self-gravitating scalar field	2
Explicit multiple solitons of the mixed Chen–Lee–Liu equation derived from the Riemann–Hilbert approach	2
Structure of the canonical uniton factorization of a solution of a noncommutative unitary sigma model	2
Linear stability of filtration flow of a gas and two immiscible liquids with interfaces in the context of the Forchheimer law	2
Blow-up of the solution to the Cauchy problem for one $$(N+1)$$-dimensional composite-type equation with gradient nonlinearity	2
On the blowup of solutions of the Cauchy problem for nonlinear equations of ferroelectricity theory	2
On the combination of Lebesgue and Riemann integrals in theory of convolution equations	2
On qualitative properties of the solution of a boundary value problem for a system of nonlinear integral equations	2
Quantum Coulomb problem in a Gaussian time-dependent electric field within the path integral formalism	2
Gauge coupling unification in the flipped $$E_8$$ GUT	2
Eigenfunctions of the continuous spectrum of the Hamiltonian of a three-particle system as distributions over the momentum variable	2
Holographic equation of state with strangeness for the study of the quark–gluon plasma evolution	2
Classification of semidiscrete equations of hyperbolic type. The case of fifth-order symmetries	2
$$\mathcal S$$-modular transformation of the $$\mathcal N=2$$ superconformal algebra characters	2
Coefficient reconstruction problem for the two-dimensional viscoelasticity equation in a weakly horizontally inhomogeneous medium	2
Integration of the Hirota equation with time-dependent coefficients	2
Mechanism for the formation of an inhomogeneous nanorelief and bifurcations in a nonlocal erosion equation	2
Vector fields and invariants of the full symmetric Toda system	2
Generalized theta series and monodromy of a Casimir connection. Case of rank 1	2
Integrable equations with negative evolution numbers	2
Multiple mirrors and the JKLMR conjecture	2
Error estimates of the Galerkin method for a weakly solvable parabolic equation with a nonlocal-in-time condition for the solution	2
Separation of variables in the Hamilton–Jacobi equation for geodesics in two and three dimensions	2
Machine learning of the well-known things	2
Magnetohydrodynamics in the turbulent dynamo regime: The stability problem	2
Quasi-Grammian loop dynamics of a multicomponent semidiscrete short pulse equation	2
$$\text{Spin}^c$$-structures and Seiberg–Witten equations	1
The three-component coupled time-varying coefficient complex mKdV equation via the $$\bar{\partial}$$-dressing method	1
Analysis of the equations of motion of fictitious matter in embedding theory	1
Trace formula for the $$RTT$$-algebra of $$sp(4)$$ type	1
Total, classical, and quantum uncertainty matrices via operator monotone functions	1
Riemann–Hilbert approach and $$N$$-soliton solutions of the two-component Kundu–Eckhaus equation	1
Coupled KP and BKP hierarchies and the corresponding symmetric functions	1
Majorana tower and cellular automaton interpretation of quantum mechanics down to Planck scales	1
Analysis of the asymptotic convergence of periodic solution of the Mackey–Glass equation to the solution of the limit relay equation	1
Quantization of electromagnetic field in the Schwarzschild spacetime	1
Shapovalov elements and Hasse diagrams	1
Classical $$6j$$-symbols of finite-dimensional representations of the algebra $$\mathfrak{gl}_3$$	1
Integration of the generalized Camassa–Holm equation in the class of periodic functions	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
Integrals of tau functions: A round dance tau function and multimatrix integrals	1
Cosymmetries of chiral-type systems	1
Multi-point passage probabilities and Green’s functions for SLE$${}_{8/3}$$	1
Solving the missing baryon problem: A review of observational and theoretical advances	1
Erratum to: Boundedness-below conditions for a general scalar potential of two real scalar fields and the Higgs boson	1
Manin triples and $$O(4,4)$$ dualities	1
Minimizing the number of heteroclinic curves of a 3-diffeomorphism with fixed points with pairwise different Morse indices	1
On the extended 2-dimensional Toda lattice models	1
Keldysh diagram technique with non-Gaussian initial correlations	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
A class of field equations for neutrinos with nonzero masses	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
Regular line-solitons of modified KP system and vertex operators	1