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
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
A classification algorithm for integrable two-dimensional lattices via Lie—Rinehart algebras	11
Multisoliton solutions of the Degasperis–Procesi equation and its shortwave limit: Darboux transformation approach	10
Matrix Painlevé II equations	9
Threshold effects in a two-fermion system on an optical lattice	9
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
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
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

Multicomponent fractional Volterra hierarchy and its subhierarchy with Virasoro symmetry	7
Sigma models as Gross–Neveu models	7
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
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
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
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
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
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
Discrete second-order Ablowitz–Kaup–Newell–Segur equation and its modified form	3
Magnetic helicity flux for mean magnetic field equations	3
$$q$$-Universal characters and an extension of the lattice $$q$$-universal characters	3
$$\bar\partial$$-dressing method for a few $$(2+1)$$-dimensional integrable coupling systems	3
On Killing tensors in three-dimensional Euclidean space	3
Jacobi structures on real two- and three-dimensional Lie groups and their Jacobi–Lie systems	3
Binary Darboux transformation for a negative-order AKNS equation	3
Relativistic linear oscillator under the action of a constant external force. Wave functions and dynamical symmetry group	3
Cosmological models based on a statistical system of scalar charged degenerate fermions and an asymmetric Higgs scalar doublet	3
Integration of the differential–difference sine-Gordon equation with a self-consistent source	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
Two-component complex modified Korteweg–de Vries equations: New soliton solutions from novel binary Darboux transformation	3
Solution with an inner transition layer of a two-dimensional boundary value reaction–diffusion–advection problem with discontinuous reaction and advection terms	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
Coupling of a biquaternionic Dirac field to a bosonic field	3
Quantifying non-Gaussianity via the Hellinger distance	3
Spin nonclassicality via variance	3
Analytic properties of the Green’s function for the equation of internal gravitational waves in a stratified medium with shear flows	3
A new class of spherically symmetric gravitational collapse	3
On mathematical problems in the theory of topological insulators	3
On the Kadomtsev-Petviashvili hierarchy in an extended class of formal pseudo-differential operators	3
Convergent perturbation theory for studying phase transitions	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
A note on pair-dependent linear statistics with a slowly increasing variance	3
A note on islands in Schwarzschild black holes	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
Projectors on invariant subspaces of representations $$\mathrm{ad}^{\otimes2}$$ of Lie algebras $$so(N)$$ and $$sp(2r)$$ and Vogel parameterization	3
Integration of the Matrix Modified Korteweg-de Vries Equation with an Integral-Type Source	3
Algebraic Bethe ansatz for $$\mathfrak o_{2n+1}$$-invariant integrable models	3
Inverse scattering transform for a nonlocal derivative nonlinear Schrödinger equation	3
Integrating the modified Korteweg–de Vries– sine-Gordon equation in the class of periodic infinite-gap functions	3
Problem of determining the speed of sound and the memory of an anisotropic medium	3
A relay Mackey—Glass model with two delays	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
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
Nonlocal symmetries of some nonlinear partial differential equations with third-order Lax pairs	2
Deformation quantization of framed presymplectic manifolds	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
Determinants in quantum matrix algebras and integrable systems	2
Commutator identities and integrable hierarchies	2
Multiscale model reduction for a thermoelastic model with phase change using a generalized multiscale finite-element method	2
Local and nonlocal complex discrete sine-Gordon equation. Solutions and continuum limits	2
On modified $$B$$KP systems and generalizations	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
Optimal time evolution for pseudo-Hermitian Hamiltonians	2
The $$\text{m}$$KdV-type equations related to $$A_5^{(1)}$$ and $$A_5^{(2)}$$ Kac–Moody algebras	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
Study of small perturbations of a stationary state in a model of upper hybrid plasma oscillations	2
Riemann–Hilbert approach and $$N$$-soliton solutions of the generalized mixed nonlinear Schrödinger equation with nonzero boundary conditions	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
Complicated behavior in cubic Hénon maps	2
Two-component generalized Ragnisco–Tu equation and the Riemann–Hilbert problem	2
Quasidifferential operator and quantum argument shift method	2
Elliptic hypergeometric function and $$6j$$-symbols for the $$SL(2,{\mathbb C})$$ group	2
Mirror map for Fermat polynomials with a nonabelian group of symmetries	2
Quadratic algebras based on $$SL(NM)$$ elliptic quantum $$R$$-matrices	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
Asymptotic solution of a Coulomb multichannel scattering problem with a nonadiabatic channel coupling	2
Study of cylindrically symmetric solutions in an $$f(R)$$ gravity background	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
Riemann–Hilbert approach and $$N$$-soliton solutions of the generalized mixed nonlinear Schrödinger equation	2
Geometric model of the formation of superdiffusion processes	2
Influence of finite-density fluctuations on the development of the Rayleigh–Taylor instability in a porous medium	2
Dynamics of solutions of logistic equation with delay and diffusion in a planar domain	2
Quantization of Some Generalized Jaynes-Cummings Models in a Kerr-Like Medium	2
Relaxation Oscillations in a Logistic Equation with State-in-the-Past-Dependent Delay	2

Weak asymptotics of the wave function for an $$N$$-particle system and asymptotic filtration	2
Asymptotic analysis of a multiferroic model	2