Theoretical and Mathematical Physics

Article	Citations
Lie symmetry, nonlocal symmetry analysis, and interaction of solutions of a (2+1)-dimensional KdV–mKdV equation	36
Four-component integrable hierarchies of Hamiltonian equations with ($$m+n+2$$)th-order Lax pairs	35
Dark $$f(\mathcal{R},\varphi,\chi)$$ universe with Noether symmetry	30
Finite-dimensional tau functions of the universal character hierarchy	19
Inverse Scattering Transform and Soliton Classification of Higher-Order Nonlinear Schrödinger-Maxwell-Bloch Equations	15
Bäcklund Transformations for the Degasperis-Procesi Equation	13
Complete cosmological model based on an asymmetric scalar Higgs doublet	12
A classification algorithm for integrable two-dimensional lattices via Lie—Rinehart algebras	11
Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation	11
Integration of the nonlinear Korteweg–de Vries equation with an additional term	11
Multisoliton solutions of the Degasperis–Procesi equation and its shortwave limit: Darboux transformation approach	10
Threshold effects in a two-fermion system on an optical lattice	9
Matrix Painlevé II equations	9
Heat kernel: Proper-time method, Fock–Schwinger gauge, path integral, and Wilson line	8
Application of the $$\bar\partial$$-dressing method to a $$(2+1)$$-dimensional equation	8
Pure soliton solutions of the nonlocal Kundu–nonlinear Schrödinger equation	8
On the Riemann–Hilbert problem of the matrix Lakshmanan–Porsezian–Daniel system with a $$4\times4$$ AKNS-type matrix Lax pair	8
Exponentially confining potential well	8
Quantum mechanics of stationary states of particles in a space–time of classical black holes	8
Angular part of the Schrödinger equation for the Hautot potential as a harmonic oscillator with a coordinate-dependent mass in a uniform gravitational field	8
Multicomponent fractional Volterra hierarchy and its subhierarchy with Virasoro symmetry	7
Sigma models as Gross–Neveu models	7
Long-time asymptotics for the nonlocal Kundu–nonlinear-Schrödinger equation by the nonlinear steepest descent method	7
Anisotropic solutions for a holographic heavy-quark model with an external magnetic field	7
Novikov equation: Bäcklund transformation and applications	7

Review of methods for constructing exact solutions of equations of mathematical physics based on simpler solutions	7
Effective wavelength of envelope waves on the water surface beneath an ice sheet: small amplitudes and moderate depths	7
The law of large numbers for quantum stochastic filtering and control of many-particle systems	6
Elliptic solutions of the Toda lattice hierarchy and the elliptic Ruijsenaars–Schneider model	6
Study on anisotropic strange stars in Rastall gravity	6
The KNTZ trick from arborescent calculus and the structure of the differential expansion	6
Holliday junctions in the Blume–Capel model of DNA	6
Multiphase solutions of nonlocal symmetric reductions of equations of the AKNS hierarchy: General analysis and simplest examples	6
Infinite number of eigenvalues of $$2{\times}2$$ operator matrices: Asymptotic discrete spectrum	6
Spatial Wilson loops in a fully anisotropic model	6
Noncommutative Kepler Dynamics: symmetry groups and bi-Hamiltonian structures	5
Airy functions and transition between semiclassical and harmonic oscillator approximations for one-dimensional bound states	5
Riemann–Hilbert problem for the modified Landau–Lifshitz equation with nonzero boundary conditions	5
From stabilizer states to SIC-POVM fiducial states	5
Uniqueness and nonuniqueness conditions for weakly periodic Gibbs measures for the hard-core model	5
On two direct limits relating pseudo-Jacobi polynomials to Hermite polynomials and the pseudo-Jacobi oscillator in a homogeneous gravitational field	5
Representation of Bessel functions by the Maslov canonical operator	5
Anisotropic solution of the holographic model of light quarks with an external magnetic field	5
Riemann–Hilbert problem for the Kundu-type nonlinear Schrödinger equation with $$N$$ distinct arbitrary-order poles	4
Explicit construction of $$N=2$$ superconformal orbifolds	4
Parametric effect in a superradiant laser with self-mode-locking	4
Lagrangian manifolds and the construction of asymptotics for (pseudo)differential equations with localized right-hand sides	4
Resonance interaction of breathers in the Manakov system	4
Thermodynamics of interacting systems of DNA molecules	4
Quantum oscillations in the black hole horizon	4
Hurwitz numbers from Feynman diagrams	4
Properties of Shape-Invariant Tridiagonal Hamiltonians	4
Integrable extensions of the Adler map via Grassmann algebras	4
Kadomtsev–Petviashvili hierarchies of types B and C	4
Integration of a defocusing nonlinear Schrödinger equation with additional terms	4
The self-consistent field method and macroscopic Einstein equations for the early universe	4
Integrals and characteristic algebras for systems of discrete equations on a quadrilateral graph	4
Recursion operators and hierarchies of $$\text{mKdV}$$ equations related to the Kac–Moody algebras $$D_4^{(1)}$$, $$D_4^{(2)}$$, and $$D_4^{(3)}$$	4
Dependence of the phase of the elastic scattering amplitude on momentum transfer	4
On periodic Gibbs measures of the Ising model corresponding to new subgroups of the group representation of a Cayley tree	4
A Gelfand–Tsetlin-type basis for the algebra $$\mathfrak{sp}_4$$ and hypergeometric functions	4
Entanglement entropy of a near-extremal black hole	4
Multi-pole extension of the elliptic models of interacting integrable tops	4
Quasi-solid state microscopic dynamics in equilibrium classical liquids: Self-consistent relaxation theory	4
Coincidences between Calabi–Yau manifolds of Berglund–Hübsch type and Batyrev polytopes	4
Total, classical and quantum uncertainties generated by channels	3
Integration of the Matrix Modified Korteweg-de Vries Equation with an Integral-Type Source	3
Solution with an inner transition layer of a two-dimensional boundary value reaction–diffusion–advection problem with discontinuous reaction and advection terms	3
Inverse scattering transform for a nonlocal derivative nonlinear Schrödinger equation	3
Ground states for the Potts model with competing interactions and a countable set of spin values on a Cayley tree	3
Problem of determining the speed of sound and the memory of an anisotropic medium	3
Coupling of a biquaternionic Dirac field to a bosonic field	3
A relay Mackey—Glass model with two delays	3
Spin nonclassicality via variance	3
Similarity reductions of peakon equations: the $$b$$-family	3

Periodic Gibbs measures for the Potts model in translation-invariant and periodic external fields on the Cayley tree	3
A new class of spherically symmetric gravitational collapse	3
On the Kadomtsev-Petviashvili hierarchy in an extended class of formal pseudo-differential operators	3
Magnetic helicity flux for mean magnetic field equations	3
$$\bar\partial$$-dressing method for a few $$(2+1)$$-dimensional integrable coupling systems	3
Jacobi structures on real two- and three-dimensional Lie groups and their Jacobi–Lie systems	3
A note on islands in Schwarzschild black holes	3
Relativistic linear oscillator under the action of a constant external force. Wave functions and dynamical symmetry group	3
On the $$\bar\partial$$-problem and dressing method for the complex vector modified KdV equation	3
Integration of the differential–difference sine-Gordon equation with a self-consistent source	3
Projectors on invariant subspaces of representations $$\mathrm{ad}^{\otimes2}$$ of Lie algebras $$so(N)$$ and $$sp(2r)$$ and Vogel parameterization	3
Dynamical behavior of stellar structures in $$f(\mathcal{G})$$ gravity	3
A possibility of realizing the Landau—Hopf scenario in the problem of tube oscillations under the action of a fluid flow	3
Algebraic Bethe ansatz for $$\mathfrak o_{2n+1}$$-invariant integrable models	3
Two-component complex modified Korteweg–de Vries equations: New soliton solutions from novel binary Darboux transformation	3
Integrating the modified Korteweg–de Vries– sine-Gordon equation in the class of periodic infinite-gap functions	3
On soliton solutions and soliton interactions of Kulish–Sklyanin and Hirota–Ohta systems	3
Quantifying non-Gaussianity via the Hellinger distance	3
Analytic properties of the Green’s function for the equation of internal gravitational waves in a stratified medium with shear flows	3
Discrete second-order Ablowitz–Kaup–Newell–Segur equation and its modified form	3
On mathematical problems in the theory of topological insulators	3
$$q$$-Universal characters and an extension of the lattice $$q$$-universal characters	3
Convergent perturbation theory for studying phase transitions	3
On Killing tensors in three-dimensional Euclidean space	3
Gibbs measures for the HC Blume–Capel model with countably many states on a Cayley tree	3
Elliptic families of solutions of the constrained Toda hierarchy	3
Binary Darboux transformation for a negative-order AKNS equation	3
A note on pair-dependent linear statistics with a slowly increasing variance	3
Cosmological models based on a statistical system of scalar charged degenerate fermions and an asymmetric Higgs scalar doublet	3
Existence and stability of a stationary solution of the system of diffusion equations in a medium with discontinuous characteristics under various quasimonotonicity conditions	2
On modified $$B$$KP systems and generalizations	2
The $$\text{m}$$KdV-type equations related to $$A_5^{(1)}$$ and $$A_5^{(2)}$$ Kac–Moody algebras	2
Optimal time evolution for pseudo-Hermitian Hamiltonians	2
Mutual transition of Andreev and Majorana bound states in a superconducting gap	2
Relation between categories of representations of the super-Yangian of a special linear Lie superalgebra and quantum loop superalgebra	2
Collapse Rate of Solutions of the Cauchy Problem for the Nonlinear Schrödinger Equation	2
Obtaining multisoliton solutions of the (2+1)-dimensional Camassa–Holm system using Darboux transformations	2
Riemann–Hilbert approach and $$N$$-soliton solutions of the generalized mixed nonlinear Schrödinger equation with nonzero boundary conditions	2
Study of small perturbations of a stationary state in a model of upper hybrid plasma oscillations	2
On the problem of classifying integrable chains with three independent variables	2
Cahn–Hilliard equation with two spatial variables. Pattern formation	2
Construction of an equivalent energy-dependent potential by a Taylor series expansion	2
Cauchy matrix solutions of some local and nonlocal complex equations	2
Two-component generalized Ragnisco–Tu equation and the Riemann–Hilbert problem	2
Complicated behavior in cubic Hénon maps	2
Elliptic hypergeometric function and $$6j$$-symbols for the $$SL(2,{\mathbb C})$$ group	2
Quasidifferential operator and quantum argument shift method	2
Quadratic algebras based on $$SL(NM)$$ elliptic quantum $$R$$-matrices	2
Mirror map for Fermat polynomials with a nonabelian group of symmetries	2
WKB expansion for a Yang–Yang generating function and the Bergman tau function	2
Liouville correspondences between multicomponent integrable hierarchies	2
Overlap between usual and modified Bethe vectors	2
Nonlinear amplification of ocean waves in straits	2
Integrable system of generalized relativistic interacting tops	2
Internal solitary waves with trapped cores in multilayer shallow water	2
Study of cylindrically symmetric solutions in an $$f(R)$$ gravity background	2
Asymptotic solution of a Coulomb multichannel scattering problem with a nonadiabatic channel coupling	2
Integrable super extensions of $$K(-2,-2)$$ equation	2
$$\ell$$-weights and factorization of transfer operators	2
Thermal properties of the 2D Klein–Gordon oscillator in a cosmic string space–time	2
BRST–BV approach for interacting higher-spin fields	2
Geometric model of the formation of superdiffusion processes	2
Riemann–Hilbert approach and $$N$$-soliton solutions of the generalized mixed nonlinear Schrödinger equation	2
Dynamics of solutions of logistic equation with delay and diffusion in a planar domain	2
Influence of finite-density fluctuations on the development of the Rayleigh–Taylor instability in a porous medium	2
Relaxation Oscillations in a Logistic Equation with State-in-the-Past-Dependent Delay	2
Quantization of Some Generalized Jaynes-Cummings Models in a Kerr-Like Medium	2
Weak asymptotics of the wave function for an $$N$$-particle system and asymptotic filtration	2
Asymptotic analysis of a multiferroic model	2
Group extensions, fiber bundles, and a parametric Yang–Baxter equation	2
Semiclassical asymptotic spectrum of the two-dimensional Hartree operator near a local maximum of the eigenvalues in a spectral cluster	2
Behavior of Andreev states for topological phase transition	2
The number of endpoints of a random walk on a semi-infinite metric path graph	2
Deformation quantization of framed presymplectic manifolds	2
Nonlocal symmetries of some nonlinear partial differential equations with third-order Lax pairs	2
Nonlinear Evolutionary Schrödinger Equation in the Supercritical Case	2
Asymptotic behavior of rapidly oscillating solutions of the modified Camassa—Holm equation	2
Chebyshev polynomials, Catalan numbers, and tridiagonal matrices	2
Commutator identities and integrable hierarchies	2
Determinants in quantum matrix algebras and integrable systems	2

Local and nonlocal complex discrete sine-Gordon equation. Solutions and continuum limits	2
Multiscale model reduction for a thermoelastic model with phase change using a generalized multiscale finite-element method	2
On the $$R$$-matrix identities related to elliptic anisotropic spin Ruijsenaars–Macdonald operators	1
Fundamental solution of the stationary Dirac equation with a linear potential	1
Nonprobability Gibbs measures for the HC model with a countable set of spin values for a “wand”-type graph on a Cayley tree	1
Integral problem for Schrödinger-type equations with the general elliptic part	1
Existence and stability of a stable stationary solution with a boundary layer for a system of reaction–diffusion equations with Neumann boundary conditions	1
Exact solitons of an $$N$$-component discrete coupled integrable system	1
On nonlinear convolution-type integral equations in the theory of $$p$$-adic strings	1
Local dynamics of the model of a semiconductor laser with delay	1
Interaction between subbands in a quasi-one-dimensional superconductor	1
Rolling motion dynamics of a spherical robot with a pendulum actuator controlled by the Bilimovich servo-constraint	1
Effective classical harmonic crystal with thermal rectification	1
Asymptotic expansions for a class of singular integrals emerging in nonlinear wave systems	1
Bogoliubov’s causal perturbative QED and white noise. Interacting fields	1
Relaxing solitons of a biaxial ferromagnet	1
Potts model on a Cayley tree: a new class of Gibbs measures	1
Darboux transformation and exact solutions of the variable-coefficient nonlocal Gerdjikov–Ivanov equation	1
On unstable contrast structures in one-dimensional reaction–diffusion–advection problems with discontinuous sources	1
Nonlinear interference of solitons and waves in the magnetic domain structure	1
Low-energy asymptotics of the phases of two-dimensional scattering of a quantum particle by a central long-range potential	1
Evolution of spherical perturbations in the cosmological environment of degenerate scalar-charged fermions with a scalar Higgs coupling	1
Shapovalov elements and Hasse diagrams	1
Impact of surface defects on a condensate of electron pairs in a quantum wire	1
Properties of solutions of two second-order differential equations with the Painlevé property	1
Multisoliton and rational solutions for the extended fifth-order KdV equation in fluids with self-consistent sources	1
Diagonal reduction algebra for $$\mathfrak{osp}(1|2)$$	1
On symmetries of the nonstationary $$\mathrm{P}_\mathrm{II}^{(n)}$$ hierarchy and their applications	1
Application of the trigonal curve to a hierarchy of generalized Toda lattices	1
Superpositions of coherent states determined by Gauss sums	1
Set-theoretical solutions of the Zamolodchikov tetrahedron equation on associative rings and Liouville integrability	1
Influence of quark–gluon string interactions on particle correlations in p+p collisions	1
On the blowup of solutions of the Cauchy problem for nonlinear equations of ferroelectricity theory	1
Centers of generalized reflection equation algebras	1
Notes about the KP/BKP correspondence	1
Emergent Planck mass and dark energy from affine gravity	1
Arnold Lagrangian singularity in the asymptotics of the solution of a model two-dimensional Helmholtz equation with a localized right-hand side	1
Darboux transformation for the defocusing modified complex short-pulse equation and its multi-dark-soliton solutions	1
Reductions of the strict KP hierarchy	1
Binary relations, Bäcklund transformations, and wave packet propagation	1
Hamiltonian dynamics of a spaceship in Alcubierre and Gödel metrics: Recursion operators and underlying master symmetries	1
Lagrangian BRST formulation of massive higher-spin fields of the general symmetry type	1
Integration of the Hirota equation with time-dependent coefficients	1
Nontrivial solvability of the homogeneous Wiener–Hopf multiple integral equation in the conservative case and the Peierls equation	1
Multiple mirrors and the JKLMR conjecture	1
Discretization of the modified Korteweg–de Vries–sine Gordon equation	1
Free oscillator realization of Laguerre polynomials	1
A $$p$$-arton model for modular cusp forms	1
Group analysis of the one-dimensional Boltzmann equation. Invariants and the problem of moment system closure	1
Construction of localized particular solutions of chains with three independent variables	1
Minimizing the number of heteroclinic curves of a 3-diffeomorphism with fixed points with pairwise different Morse indices	1
Differential equations for the Majorana particle in $${3+1}$$ and $${1+1}$$ dimensions	1
Homothetic vector fields of LRS Bianchi type-I spacetimes via the RIF tree approach	1
Dispersionless integrable systems and the Bogomolny equations on an Einstein–Weyl geometry background	1
Modified series of integrable discrete equations on a quadratic lattice with a nonstandard symmetry structure	1
Virasoro symmetries of multicomponent Gelfand–Dickey systems	1
Traveling-wave solution of the Tzitzéica-type equations by using the unified method	1
Split Casimir operator and solutions of the Yang–Baxter equation for the $$osp(M|N)$$ and $$s\ell(M|N)$$ Lie superalgebras, higher Casimir operators, and the Vogel parameters	1
Investigation of the transition to instability of the water boiling front during injection into a geothermal reservoir	1
Discrete traveling waves in a relay system of Mackey–Glass equations with two delays	1
Variational formulation of the problem on vibrations of a beam with a moving spring-loaded support	1
Approximate analytic solution of the Logunov–Tavkhelidze equation for a one-dimensional oscillator potential in the relativistic configuration representation	1
Darboux transformations for the strict KP hierarchy	1
Topological meaning of the slope of the Kolmogorov spectrum of magnetic turbulence	1
On a class of quadratic conservation laws for Newton equations in Euclidean space	1
Comparative dynamics of chains of coupled van der Pol equations and coupled systems of van der Pol equations	1
On the scattering problem for a potential decreasing as the inverse square of distance	1
Comments on a 4-derivative scalar theory in 4 dimensions	1
Cauchy matrix scheme for semidiscrete lattice Korteweg–de Vries-type equations	1
Solving the modified Camassa–Holm equation via the inverse scattering transform	1
Group Analysis of the Boltzmann and Vlasov Equations	1
Comparison between the QP formalism and the Painlevé property in integrable dynamical systems	1
Extremality of the unique translation-invariant Gibbs measure for hard-core models on the Cayley tree of order $$k=3$$	1
Local dynamics of equation with periodically distributed delay	1
A generalized Crewther relation and the V scheme: analytic results in fourth-order perturbative QCD and QED	1
Strip deformation problem in three models of hydrodynamics	1
Quantum coin flipping, qubit measurement, and generalized Fibonacci numbers	1
Weak condition for a class of $$p$$-Laplacian Hamiltonian systems	1
Three-dimensional vortices in the Heisenberg model	1
Khoroshkin–Tolstoy approach to quantum superalgebras	1
Diffusion chaos and its invariant numerical characteristics	1
Erratum to: Series solution of a ten-parameter second-order differential equation with three regular singularities and one irregular singularity	1
The initial-boundary value for the combined Schrödinger and Gerdjikov–Ivanov equation on the half-line via the Riemann–Hilbert approach	1
Self-consistent approximation in the Ising model of pure and dilute magnets using a pair correlation	1
Topological transformations of three-dimensional dissipative solitons in the framework of the generalized Ginzburg—Landau equation	1
Influence of anisotropic rheology on wave processes in sea ice	1
Accommodation factors and mechanisms for the destruction of carbon- and ceramics-based composite materials	1
Librations with large periods in tunneling: Efficient calculation and applications to trigonal dimers	1
From the Wigner function to the $$s$$-ordered phase-space distribution via a Gaussian noise channel	1
Applications of the Sylvester equation for the lattice BKP system	1
In memory of Alexey Borisovich Shabat	0
On an alternative stratification of knots	0
Vertex electrical model: Lagrangian and nonnegativity properties	0
Multisolitons of the $$U(N)$$ generalized Heisenberg magnet model and the Yang–Baxter relation	0
Extensions of nonnatural Hamiltonians	0