Theoretical and Mathematical Physics

Article	Citations
Four-component integrable hierarchies of Hamiltonian equations with ($$m+n+2$$)th-order Lax pairs	54
Dark $$f(\mathcal{R},\varphi,\chi)$$ universe with Noether symmetry	41
Lie symmetry, nonlocal symmetry analysis, and interaction of solutions of a (2+1)-dimensional KdV–mKdV equation	38
Finite-dimensional tau functions of the universal character hierarchy	19
Complete cosmological model based on an asymmetric scalar Higgs doublet	14
Review of methods for constructing exact solutions of equations of mathematical physics based on simpler solutions	11
Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation	11
Heat kernel: Proper-time method, Fock–Schwinger gauge, path integral, and Wilson line	10
On the Riemann–Hilbert problem of the matrix Lakshmanan–Porsezian–Daniel system with a $$4\times4$$ AKNS-type matrix Lax pair	9
Pure soliton solutions of the nonlocal Kundu–nonlinear Schrödinger equation	9
Matrix Painlevé II equations	9
Effective wavelength of envelope waves on the water surface beneath an ice sheet: small amplitudes and moderate depths	9
Long-time asymptotics for the nonlocal Kundu–nonlinear-Schrödinger equation by the nonlinear steepest descent method	8
Thermal properties of the 2D Klein–Gordon oscillator in a cosmic string space–time	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
Study on anisotropic strange stars in Rastall gravity	8
Sigma models as Gross–Neveu models	8
Exponentially confining potential well	8
Quantum mechanics of stationary states of particles in a space–time of classical black holes	8
Application of the $$\bar\partial$$-dressing method to a $$(2+1)$$-dimensional equation	8
Infinite number of eigenvalues of $$2{\times}2$$ operator matrices: Asymptotic discrete spectrum	7
Riemann–Hilbert problem for the modified Landau–Lifshitz equation with nonzero boundary conditions	7
Multicomponent fractional Volterra hierarchy and its subhierarchy with Virasoro symmetry	7
Problem of determining the speed of sound and the memory of an anisotropic medium	7
Novikov equation: Bäcklund transformation and applications	7

Anisotropic solutions for a holographic heavy-quark model with an external magnetic field	7
The law of large numbers for quantum stochastic filtering and control of many-particle systems	7
Holliday junctions in the Blume–Capel model of DNA	7
From stabilizer states to SIC-POVM fiducial states	6
Spatial Wilson loops in a fully anisotropic model	6
Elliptic solutions of the Toda lattice hierarchy and the elliptic Ruijsenaars–Schneider model	6
Lagrangian manifolds and the construction of asymptotics for (pseudo)differential equations with localized right-hand sides	6
On two direct limits relating pseudo-Jacobi polynomials to Hermite polynomials and the pseudo-Jacobi oscillator in a homogeneous gravitational field	5
Integrable extensions of the Adler map via Grassmann algebras	5
Inverse scattering transform for a nonlocal derivative nonlinear Schrödinger equation	5
Anisotropic solution of the holographic model of light quarks with an external magnetic field	5
Noncommutative Kepler Dynamics: symmetry groups and bi-Hamiltonian structures	5
Explicit construction of $$N=2$$ superconformal orbifolds	5
Representation of Bessel functions by the Maslov canonical operator	5
Solution with an inner transition layer of a two-dimensional boundary value reaction–diffusion–advection problem with discontinuous reaction and advection terms	5
Riemann–Hilbert problem for the Kundu-type nonlinear Schrödinger equation with $$N$$ distinct arbitrary-order poles	5
Entanglement entropy of a near-extremal black hole	5
Quasidifferential operator and quantum argument shift method	5
Jacobi structures on real two- and three-dimensional Lie groups and their Jacobi–Lie systems	4
Resonance interaction of breathers in the Manakov system	4
Multi-pole extension of the elliptic models of interacting integrable tops	4
Periodic Gibbs measures for the Potts model in translation-invariant and periodic external fields on the Cayley tree	4
Quantum oscillations in the black hole horizon	4
Discrete second-order Ablowitz–Kaup–Newell–Segur equation and its modified form	4
Integrating the modified Korteweg–de Vries– sine-Gordon equation in the class of periodic infinite-gap functions	4
On periodic Gibbs measures of the Ising model corresponding to new subgroups of the group representation of a Cayley tree	4
Cosmological models based on a statistical system of scalar charged degenerate fermions and an asymmetric Higgs scalar doublet	4
Integration of a defocusing nonlinear Schrödinger equation with additional terms	4
Thermodynamics of interacting systems of DNA molecules	4
Coincidences between Calabi–Yau manifolds of Berglund–Hübsch type and Batyrev polytopes	4
Rolling motion dynamics of a spherical robot with a pendulum actuator controlled by the Bilimovich servo-constraint	4
Dynamical behavior of stellar structures in $$f(\mathcal{G})$$ gravity	4
$$q$$-Universal characters and an extension of the lattice $$q$$-universal characters	4
Projectors on invariant subspaces of representations $$\mathrm{ad}^{\otimes2}$$ of Lie algebras $$so(N)$$ and $$sp(2r)$$ and Vogel parameterization	4
On Killing tensors in three-dimensional Euclidean space	4
Kadomtsev–Petviashvili hierarchies of types B and C	4
$$\bar\partial$$-dressing method for a few $$(2+1)$$-dimensional integrable coupling systems	4
Quasi-solid state microscopic dynamics in equilibrium classical liquids: Self-consistent relaxation theory	4
Integrals and characteristic algebras for systems of discrete equations on a quadrilateral graph	4
Similarity reductions of peakon equations: the $$b$$-family	4
A note on islands in Schwarzschild black holes	4
Binary Darboux transformation for a negative-order AKNS equation	4
A Gelfand–Tsetlin-type basis for the algebra $$\mathfrak{sp}_4$$ and hypergeometric functions	4
Existence and stability of a stable stationary solution with a boundary layer for a system of reaction–diffusion equations with Neumann boundary conditions	3
On the $$\bar\partial$$-problem and dressing method for the complex vector modified KdV equation	3
Total, classical and quantum uncertainties generated by channels	3
Spin nonclassicality via variance	3
Darboux transformation and exact solutions of the variable-coefficient nonlocal Gerdjikov–Ivanov equation	3
On the Kadomtsev-Petviashvili hierarchy in an extended class of formal pseudo-differential operators	3
Global-in-time solvability of a nonlinear system of equations of a thermal–electrical model with quadratic nonlinearity	3

Cauchy matrix solutions of some local and nonlocal complex equations	3
Evolution of spherical perturbations in the cosmological environment of degenerate scalar-charged fermions with a scalar Higgs coupling	3
On unstable contrast structures in one-dimensional reaction–diffusion–advection problems with discontinuous sources	3
Comments on a 4-derivative scalar theory in 4 dimensions	3
Cauchy matrix scheme for semidiscrete lattice Korteweg–de Vries-type equations	3
Elliptic hypergeometric function and $$6j$$-symbols for the $$SL(2,{\mathbb C})$$ group	3
Extremality of the unique translation-invariant Gibbs measure for hard-core models on the Cayley tree of order $$k=3$$	3
Algebraic Bethe ansatz for $$\mathfrak o_{2n+1}$$-invariant integrable models	3
Analytic properties of the Green’s function for the equation of internal gravitational waves in a stratified medium with shear flows	3
Nonprobability Gibbs measures for the HC model with a countable set of spin values for a “wand”-type graph on a Cayley tree	3
On mathematical problems in the theory of topological insulators	3
Integration of the differential–difference sine-Gordon equation with a self-consistent source	3
Elliptic families of solutions of the constrained Toda hierarchy	3
Gibbs measures for the HC Blume–Capel model with countably many states on a Cayley tree	3
Quadratic algebras based on $$SL(NM)$$ elliptic quantum $$R$$-matrices	3
Ground states for the Potts model with competing interactions and a countable set of spin values on a Cayley tree	3
On soliton solutions and soliton interactions of Kulish–Sklyanin and Hirota–Ohta systems	3
Revised Riemann–Hilbert problem for the derivative nonlinear Schrödinger equation: Vanishing boundary condition	3
On the problem of classifying integrable chains with three independent variables	3
A new class of spherically symmetric gravitational collapse	3
Relativistic linear oscillator under the action of a constant external force. Wave functions and dynamical symmetry group	3
Mirror map for Fermat polynomials with a nonabelian group of symmetries	3
Local dynamics of equation with periodically distributed delay	3
Two-component complex modified Korteweg–de Vries equations: New soliton solutions from novel binary Darboux transformation	3
A note on pair-dependent linear statistics with a slowly increasing variance	3
The $$p$$-adic Ising model in an external field on a Cayley tree: periodic Gibbs measures	2
Lagrangian BRST formulation of massive higher-spin fields of the general symmetry type	2
Integrable super extensions of $$K(-2,-2)$$ equation	2
$$\ell$$-weights and factorization of transfer operators	2
Commutator identities and integrable hierarchies	2
Hamiltonian theory of motion of dark solitons in the theory of nonlinear Schrödinger equation	2
Geometric model of the formation of superdiffusion processes	2
Discrete traveling waves in a relay system of Mackey–Glass equations with two delays	2
The $$\text{m}$$KdV-type equations related to $$A_5^{(1)}$$ and $$A_5^{(2)}$$ Kac–Moody algebras	2
Complicated behavior in cubic Hénon maps	2
Local and nonlocal complex discrete sine-Gordon equation. Solutions and continuum limits	2
Construction of localized particular solutions of chains with three independent variables	2
Weak asymptotics of the wave function for an $$N$$-particle system and asymptotic filtration	2
The number of endpoints of a random walk on a semi-infinite metric path graph	2
Group extensions, fiber bundles, and a parametric Yang–Baxter equation	2
Obtaining multisoliton solutions of the (2+1)-dimensional Camassa–Holm system using Darboux transformations	2
Comparative dynamics of chains of coupled van der Pol equations and coupled systems of van der Pol equations	2
Properties of solutions of two second-order differential equations with the Painlevé property	2
Behavior of Andreev states for topological phase transition	2
Nonlocal symmetries of some nonlinear partial differential equations with third-order Lax pairs	2
Nonlinear Evolutionary Schrödinger Equation in the Supercritical Case	2
Minimizing the number of heteroclinic curves of a 3-diffeomorphism with fixed points with pairwise different Morse indices	2
On the blowup of solutions of the Cauchy problem for nonlinear equations of ferroelectricity theory	2
Multiple mirrors and the JKLMR conjecture	2
A type of multicomponent nonisospectral generalized nonlinear Schrödinger hierarchies	2
Dynamics of solutions of logistic equation with delay and diffusion in a planar domain	2
BRST–BV approach for interacting higher-spin fields	2
WKB expansion for a Yang–Yang generating function and the Bergman tau function	2
Multiscale model reduction for a thermoelastic model with phase change using a generalized multiscale finite-element method	2
Generalized uncertainty relations, particles, black holes, and Casimir effect in the three-dimensional quantum vacuum	2
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	2
Mutual transition of Andreev and Majorana bound states in a superconducting gap	2
Riemann–Hilbert approach and $$N$$-soliton solutions of the generalized mixed nonlinear Schrödinger equation with nonzero boundary conditions	2
Effect of a cloud of strings and quintessence on a phase transition of charged rotating AdS black holes	2
Semiclassical asymptotic spectrum of the two-dimensional Hartree operator near a local maximum of the eigenvalues in a spectral cluster	2
On a class of quadratic conservation laws for Newton equations in Euclidean space	2
Study of small perturbations of a stationary state in a model of upper hybrid plasma oscillations	2
Contrast structures in the reaction– advection– diffusion problem appearing in a drift–diffusion model of a semiconductor in the case of nonsmooth reaction	2
Cahn–Hilliard equation with two spatial variables. Pattern formation	2
On noncompact bifurcation in one generalized model of vortex dynamics	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
Riemann–Hilbert approach and $$N$$-soliton solutions of the generalized mixed nonlinear Schrödinger equation	2
Existence and stability of a stationary solution of the system of diffusion equations in a medium with discontinuous characteristics under various quasimonotonicity conditions	2
Determinants in quantum matrix algebras and integrable systems	2
Hamiltonian dynamics of a spaceship in Alcubierre and Gödel metrics: Recursion operators and underlying master symmetries	2
On modified $$B$$KP systems and generalizations	2
Investigation of the transition to instability of the water boiling front during injection into a geothermal reservoir	2
Internal solitary waves with trapped cores in multilayer shallow water	2
Overlap between usual and modified Bethe vectors	2
Quantum coin flipping, qubit measurement, and generalized Fibonacci numbers	2
Variational formulation of the problem on vibrations of a beam with a moving spring-loaded support	2
Study of cylindrically symmetric solutions in an $$f(R)$$ gravity background	2
Energy spectrum design and potential function engineering	1
Strip deformation problem in three models of hydrodynamics	1

Extensions of Yang–Baxter sets	1
Influence of anisotropic rheology on wave processes in sea ice	1
Low-energy asymptotics of the phases of two-dimensional scattering of a quantum particle by a central long-range potential	1
Free oscillator realization of Laguerre polynomials	1
Superpositions of coherent states determined by Gauss sums	1
Machine learning of the well-known things	1
The initial-boundary value for the combined Schrödinger and Gerdjikov–Ivanov equation on the half-line via the Riemann–Hilbert approach	1
Chaos game in an extended hyperbolic plane	1
Darboux transformations for the strict KP hierarchy	1
Traveling-wave solution of the Tzitzéica-type equations by using the unified method	1
Vulnerability of quantum cryptography with phase–time coding under attenuation conditions	1
Analysis of the asymptotic convergence of periodic solution of the Mackey–Glass equation to the solution of the limit relay equation	1
Dark matter as a gravitational effect in the embedding theory approach	1
The impact of the Wiener process on solutions of the potential Yu–Toda–Sasa–Fukuyama equation in a two-layer liquid	1
Local bifurcations and a global attractor for two versions of the weakly dissipative Ginzburg–Landau equation	1
On nonlinear convolution-type integral equations in the theory of $$p$$-adic strings	1
Arnold Lagrangian singularity in the asymptotics of the solution of a model two-dimensional Helmholtz equation with a localized right-hand side	1
Asymptotics of the Helmholtz equation solutions in a two-layer medium with a localized right-hand side	1
A generalized Crewther relation and the V scheme: analytic results in fourth-order perturbative QCD and QED	1
Exact solitons of an $$N$$-component discrete coupled integrable system	1
Accommodation factors and mechanisms for the destruction of carbon- and ceramics-based composite materials	1
Potts model on a Cayley tree: a new class of Gibbs measures	1
Digital representation of continuous observables in quantum mechanics	1
Set-theoretical solutions of the Zamolodchikov tetrahedron equation on associative rings and Liouville integrability	1
Lotka–Volterra model with mutations and generative adversarial networks	1
Generalization of the Bargmann–Wigner construction for infinite-spin fields	1
Majorana fermions, supersymmetry, and thermofield dynamics	1
Topological meaning of the slope of the Kolmogorov spectrum of magnetic turbulence	1
Majorana tower and cellular automaton interpretation of quantum mechanics down to Planck scales	1
Evolution of the magnetic field in spatially inhomogeneous axion structures	1
Solving the modified Camassa–Holm equation via the inverse scattering transform	1
Deformed ladder operators for the generalized one- and two-mode squeezed harmonic oscillator in the presence of a minimal length	1
Group analysis of the one-dimensional Boltzmann equation. Invariants and the problem of moment system closure	1
Dynamics of kink-soliton solutions of the $$(2+1)$$-dimensional sine-Gordon equation	1
On symmetries of the nonstationary $$\mathrm{P}_\mathrm{II}^{(n)}$$ hierarchy and their applications	1
Two-dimensional Dirac oscillator in a magnetic field in deformed phase space with minimal-length uncertainty relations	1
Khoroshkin–Tolstoy approach to quantum superalgebras	1
Applications of the Sylvester equation for the lattice BKP system	1
Differential equations for the Majorana particle in $${3+1}$$ and $${1+1}$$ dimensions	1
Integration of the Hirota equation with time-dependent coefficients	1
Multisoliton solutions of the two-component Camassa–Holm equation and its reductions	1
Fundamental solution of the stationary Dirac equation with a linear potential	1
Higher-rank generalization of the 11-vertex rational $$R$$-matrix: IRF–vertex relations and the associative Yang–Baxter equation	1
Existence of an entropic solution of a nonlinear elliptic problem in an unbounded domain	1
Integration of negative-order modified Korteweg–de Vries equation in a class of periodic functions	1
Self-oscillatory processes in a discrete $$RCL$$-line with a tunnel diode	1
Existence of solutions of a system of two ordinary differential equations with a modular–cubic type nonlinearity	1
Revisiting solutions of the Adler–Bobenko–Suris lattice equations and lattice Boussinesq-type equations	1
Local dynamics of the model of a semiconductor laser with delay	1
Weakly periodic Gibbs measures for the Ising model on the Cayley tree of order $$k=2$$	1
Reductions of the strict KP hierarchy	1
A $$p$$-arton model for modular cusp forms	1
Darboux transformation for the defocusing modified complex short-pulse equation and its multi-dark-soliton solutions	1
Application of the trigonal curve to a hierarchy of generalized Toda lattices	1
Bernoulli shifts in predator–prey mappings	1
Asymptotic expansions for a class of singular integrals emerging in nonlinear wave systems	1
Tau-function of the B-Toda hierarchy	1
Approximate analytic solution of the Logunov–Tavkhelidze equation for a one-dimensional oscillator potential in the relativistic configuration representation	1
Shapovalov elements and Hasse diagrams	1
Asymptotics of the spectrum of a Hartree-type operator with a screened Coulomb self-action potential near the upper boundaries of spectral clusters	1
Integral problem for Schrödinger-type equations with the general elliptic part	1
Riemann–Hilbert approach and $$N$$-soliton solutions of the two-component Kundu–Eckhaus equation	1
Discretization of the modified Korteweg–de Vries–sine Gordon equation	1
Diagonal reduction algebra for $$\mathfrak{osp}(1|2)$$	1
Higher spins in harmonic superspace	1
Three-dimensional vortices in the Heisenberg model	1
Relaxing solitons of a biaxial ferromagnet	1
Librations with large periods in tunneling: Efficient calculation and applications to trigonal dimers	1
Multisoliton and rational solutions for the extended fifth-order KdV equation in fluids with self-consistent sources	1
Homothetic vector fields of LRS Bianchi type-I spacetimes via the RIF tree approach	1
Cauchy matrix approach to the noncommutative Kadomtsev–Petviashvili equation with self-consistent sources	1
Influence of quark–gluon string interactions on particle correlations in p+p collisions	1
Solitons in a semi-infinite ferromagnet with anisotropy of the easy axis type	1
A class of reductions of the two-component KP hierarchy and the Hirota–Ohta system	1
Nonautonomous vector fields on $$S^3$$: Simple dynamics and wild embedding of separatrices	1
On the properties of solutions of a system of two nonlinear differential equations associated with the Josephson model	1
Measuring the coupling constant of polarized fermions via sound wave spectra	1
Solutions of the analogues of time-dependent Schrödinger equations corresponding to a pair of $$H^{3+2}$$ Hamiltonian systems	1
On the scattering problem for a potential decreasing as the inverse square of distance	1
Weak condition for a class of $$p$$-Laplacian Hamiltonian systems	1
On the blow-up of the solution of a $$(1+1)$$-dimensional thermal–electrical model	1
Comparison between the QP formalism and the Painlevé property in integrable dynamical systems	1
Notes about the KP/BKP correspondence	1
Finite-size correction to the scaling of free energy in the dimer model on a hexagonal domain	1
Nonlinear interference of solitons and waves in the magnetic domain structure	1
Interaction between subbands in a quasi-one-dimensional superconductor	1
From the Wigner function to the $$s$$-ordered phase-space distribution via a Gaussian noise channel	1
$$T\overline T$$ deformation of the Calogero–Sutherland model via dimensional reduction	1
Integration of the Kaup–Boussinesq system with time-dependent coefficients	1
Bogoliubov’s causal perturbative QED and white noise. Interacting fields	1
On the $$R$$-matrix identities related to elliptic anisotropic spin Ruijsenaars–Macdonald operators	1
Noether charge, thermodynamics and phase transition of a black hole in the Schwarzschild– anti-de Sitter–Beltrami spacetime	1
A new solvable two-matrix model and the BKP tau function	1
Emergent Planck mass and dark energy from affine gravity	1
Vertex electrical model: Lagrangian and nonnegativity properties	0