Theoretical and Mathematical Physics

Article	Citations
Lie symmetry, nonlocal symmetry analysis, and interaction of solutions of a (2+1)-dimensional KdV–mKdV equation	37
Four-component integrable hierarchies of Hamiltonian equations with ($$m+n+2$$)th-order Lax pairs	36
Dark $$f(\mathcal{R},\varphi,\chi)$$ universe with Noether symmetry	32
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
Complete cosmological model based on an asymmetric scalar Higgs doublet	14
Bäcklund Transformations for the Degasperis-Procesi Equation	13
Integration of the nonlinear Korteweg–de Vries equation with an additional term	11
Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation	11
Multisoliton solutions of the Degasperis–Procesi equation and its shortwave limit: Darboux transformation approach	10
Matrix Painlevé II equations	9
Pure soliton solutions of the nonlocal Kundu–nonlinear Schrödinger equation	9
Threshold effects in a two-fermion system on an optical lattice	9
Exponentially confining potential well	8
Effective wavelength of envelope waves on the water surface beneath an ice sheet: small amplitudes and moderate depths	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
Review of methods for constructing exact solutions of equations of mathematical physics based on simpler solutions	8
Quantum mechanics of stationary states of particles in a space–time of classical black holes	8
On the Riemann–Hilbert problem of the matrix Lakshmanan–Porsezian–Daniel system with a $$4\times4$$ AKNS-type matrix Lax pair	8
Sigma models as Gross–Neveu models	7
Multicomponent fractional Volterra hierarchy and its subhierarchy with Virasoro symmetry	7
Novikov equation: Bäcklund transformation and applications	7
Holliday junctions in the Blume–Capel model of DNA	7

Anisotropic solutions for a holographic heavy-quark model with an external magnetic field	7
Long-time asymptotics for the nonlocal Kundu–nonlinear-Schrödinger equation by the nonlinear steepest descent method	7
Spatial Wilson loops in a fully anisotropic model	6
Multiphase solutions of nonlocal symmetric reductions of equations of the AKNS hierarchy: General analysis and simplest examples	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 law of large numbers for quantum stochastic filtering and control of many-particle systems	6
The KNTZ trick from arborescent calculus and the structure of the differential expansion	6
Infinite number of eigenvalues of $$2{\times}2$$ operator matrices: Asymptotic discrete spectrum	6
On two direct limits relating pseudo-Jacobi polynomials to Hermite polynomials and the pseudo-Jacobi oscillator in a homogeneous gravitational field	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
Explicit construction of $$N=2$$ superconformal orbifolds	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
Lagrangian manifolds and the construction of asymptotics for (pseudo)differential equations with localized right-hand sides	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
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
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
Hurwitz numbers from Feynman diagrams	4
On Killing tensors in three-dimensional Euclidean space	4
Cosmological models based on a statistical system of scalar charged degenerate fermions and an asymmetric Higgs scalar doublet	4
Integrable extensions of the Adler map via Grassmann algebras	4
Entanglement entropy of a near-extremal black hole	4
Resonance interaction of breathers in the Manakov system	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
Similarity reductions of peakon equations: the $$b$$-family	4
Solution with an inner transition layer of a two-dimensional boundary value reaction–diffusion–advection problem with discontinuous reaction and advection terms	4
Riemann–Hilbert problem for the Kundu-type nonlinear Schrödinger equation with $$N$$ distinct arbitrary-order poles	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
Integration of a defocusing nonlinear Schrödinger equation with additional terms	4
Thermodynamics of interacting systems of DNA molecules	4
Thermal properties of the 2D Klein–Gordon oscillator in a cosmic string space–time	4
Quantum oscillations in the black hole horizon	4
Dependence of the phase of the elastic scattering amplitude on momentum transfer	4
$$q$$-Universal characters and an extension of the lattice $$q$$-universal characters	4
Properties of Shape-Invariant Tridiagonal Hamiltonians	4
On periodic Gibbs measures of the Ising model corresponding to new subgroups of the group representation of a Cayley tree	4
Kadomtsev–Petviashvili hierarchies of types B and C	4
Integration of the Matrix Modified Korteweg-de Vries Equation with an Integral-Type Source	3
Analytic properties of the Green’s function for the equation of internal gravitational waves in a stratified medium with shear flows	3
Convergent perturbation theory for studying phase transitions	3
Problem of determining the speed of sound and the memory of an anisotropic medium	3
Dynamical behavior of stellar structures in $$f(\mathcal{G})$$ gravity	3

Two-component complex modified Korteweg–de Vries equations: New soliton solutions from novel binary Darboux transformation	3
Ground states for the Potts model with competing interactions and a countable set of spin values on a Cayley tree	3
Spin nonclassicality via variance	3
A new class of spherically symmetric gravitational collapse	3
Total, classical and quantum uncertainties generated by channels	3
Magnetic helicity flux for mean magnetic field equations	3
Jacobi structures on real two- and three-dimensional Lie groups and their Jacobi–Lie systems	3
Relativistic linear oscillator under the action of a constant external force. Wave functions and dynamical symmetry group	3
On mathematical problems in the theory of topological insulators	3
Evolution of spherical perturbations in the cosmological environment of degenerate scalar-charged fermions with a scalar Higgs coupling	3
Elliptic families of solutions of the constrained Toda hierarchy	3
A note on pair-dependent linear statistics with a slowly increasing variance	3
On the $$\bar\partial$$-problem and dressing method for the complex vector modified KdV equation	3
Algebraic Bethe ansatz for $$\mathfrak o_{2n+1}$$-invariant integrable models	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
Inverse scattering transform for a nonlocal derivative nonlinear Schrödinger equation	3
Cauchy matrix solutions of some local and nonlocal complex equations	3
Integration of the differential–difference sine-Gordon equation with a self-consistent source	3
Gibbs measures for the HC Blume–Capel model with countably many states on a Cayley tree	3
Periodic Gibbs measures for the Potts model in translation-invariant and periodic external fields on the Cayley tree	3
Discrete second-order Ablowitz–Kaup–Newell–Segur equation and its modified form	3
Coupling of a biquaternionic Dirac field to a bosonic field	3
Projectors on invariant subspaces of representations $$\mathrm{ad}^{\otimes2}$$ of Lie algebras $$so(N)$$ and $$sp(2r)$$ and Vogel parameterization	3
On the Kadomtsev-Petviashvili hierarchy in an extended class of formal pseudo-differential operators	3
$$\bar\partial$$-dressing method for a few $$(2+1)$$-dimensional integrable coupling systems	3
Geometric model of the formation of superdiffusion processes	2
Determinants in quantum matrix algebras and integrable systems	2
WKB expansion for a Yang–Yang generating function and the Bergman tau function	2
Influence of finite-density fluctuations on the development of the Rayleigh–Taylor instability in a porous medium	2
Weak asymptotics of the wave function for an $$N$$-particle system and asymptotic filtration	2
Complicated behavior in cubic Hénon maps	2
Group extensions, fiber bundles, and a parametric Yang–Baxter equation	2
Properties of solutions of two second-order differential equations with the Painlevé property	2
Integrable system of generalized relativistic interacting tops	2
The number of endpoints of a random walk on a semi-infinite metric path graph	2
Comparative dynamics of chains of coupled van der Pol equations and coupled systems of van der Pol equations	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
Quadratic algebras based on $$SL(NM)$$ elliptic quantum $$R$$-matrices	2
Chebyshev polynomials, Catalan numbers, and tridiagonal matrices	2
Dynamics of solutions of logistic equation with delay and diffusion in a planar domain	2
Liouville correspondences between multicomponent integrable hierarchies	2
A note on islands in Schwarzschild black holes	2
Multiscale model reduction for a thermoelastic model with phase change using a generalized multiscale finite-element method	2
Two-component generalized Ragnisco–Tu equation and the Riemann–Hilbert problem	2
Quasidifferential operator and quantum argument shift method	2
Mutual transition of Andreev and Majorana bound states in a superconducting gap	2
Mirror map for Fermat polynomials with a nonabelian group of symmetries	2
Variational formulation of the problem on vibrations of a beam with a moving spring-loaded support	2
Internal solitary waves with trapped cores in multilayer shallow water	2
Lagrangian BRST formulation of massive higher-spin fields of the general symmetry type	2
Deformation quantization of framed presymplectic manifolds	2
Behavior of Andreev states for topological phase transition	2
Obtaining multisoliton solutions of the (2+1)-dimensional Camassa–Holm system using Darboux transformations	2
Nonlocal symmetries of some nonlinear partial differential equations with third-order Lax pairs	2
Cahn–Hilliard equation with two spatial variables. Pattern formation	2
Construction of an equivalent energy-dependent potential by a Taylor series expansion	2
Local and nonlocal complex discrete sine-Gordon equation. Solutions and continuum limits	2
The $$\text{m}$$KdV-type equations related to $$A_5^{(1)}$$ and $$A_5^{(2)}$$ Kac–Moody algebras	2
Quantization of Some Generalized Jaynes-Cummings Models in a Kerr-Like Medium	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
Relation between categories of representations of the super-Yangian of a special linear Lie superalgebra and quantum loop superalgebra	2
Multiple mirrors and the JKLMR conjecture	2
On modified $$B$$KP systems and generalizations	2
Commutator identities and integrable hierarchies	2
BRST–BV approach for interacting higher-spin fields	2
Overlap between usual and modified Bethe vectors	2
Riemann–Hilbert approach and $$N$$-soliton solutions of the generalized mixed nonlinear Schrödinger equation	2
Collapse Rate of Solutions of the Cauchy Problem for the Nonlinear Schrödinger Equation	2
Riemann–Hilbert approach and $$N$$-soliton solutions of the generalized mixed nonlinear Schrödinger equation with nonzero boundary conditions	2
On a class of quadratic conservation laws for Newton equations in Euclidean space	2
Semiclassical asymptotic spectrum of the two-dimensional Hartree operator near a local maximum of the eigenvalues in a spectral cluster	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
Nonlinear Evolutionary Schrödinger Equation in the Supercritical Case	2
Relaxation Oscillations in a Logistic Equation with State-in-the-Past-Dependent Delay	2

Darboux transformation and exact solutions of the variable-coefficient nonlocal Gerdjikov–Ivanov equation	2
Elliptic hypergeometric function and $$6j$$-symbols for the $$SL(2,{\mathbb C})$$ group	2
Optimal time evolution for pseudo-Hermitian Hamiltonians	2