Theoretical and Mathematical Physics

Article	Citations
Anisotropic solution of the holographic model of light quarks with an external magnetic field	57
Khoroshkin–Tolstoy approach to quantum superalgebras	16
Erratum to: Khoroshkin–Tolstoy approach to quantum superalgebras	15
Vertex electrical model: Lagrangian and nonnegativity properties	14
Local dynamics of equation with periodically distributed delay	11
Gibbs measures for the HC Blume–Capel model with countably many states on a Cayley tree	11
Wave propagation in the Kolmogorov–Petrovsky–Piscounov–Fisher equation with delay	10
Explicit multiple solitons of the mixed Chen–Lee–Liu equation derived from the Riemann–Hilbert approach	9
Riemann–Hilbert approach to coupled nonlinear Schrödinger equations on a half-line	9
Nonlinear dynamics of a two-axis ferromagnet on the semiaxis	9
Quasi-Grammian loop dynamics of a multicomponent semidiscrete short pulse equation	9
On the first Newton law, the existence of the reference system corresponding to the rest, and the Galilei group	8
Noncommutative generalization and quasi-Gramian solutions of the Hirota equation	8
The general fifth-order nonlinear Schrödinger equation with nonzero boundary conditions: Inverse scattering transform and multisoliton solutions	8
Classification of semidiscrete equations of hyperbolic type. The case of third-order symmetries	8
The initial-boundary value for the combined Schrödinger and Gerdjikov–Ivanov equation on the half-line via the Riemann–Hilbert approach	8
Homothetic vector fields of LRS Bianchi type-I spacetimes via the RIF tree approach	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
Symmetry transformations of the vortex field statistics in optical turbulence	7
A novel kind of a multicomponent hierarchy of discrete soliton equations and its application	7
Integrals of tau functions: A round dance tau function and multimatrix integrals	7
Convergent perturbation theory and the strong-coupling limit in quantum electrodynamics	7
Local attractors of one of the original versions of the Kuramoto–Sivashinsky equation	6
Free energy, entropy, and magnetization of a one-dimensional Ising model of a diluted magnet	6
Dyson diffusion on a curved contour	6

Two-component complex modified Korteweg–de Vries equations: New soliton solutions from novel binary Darboux transformation	6
Trace formula for the $$RTT$$-algebra of $$sp(4)$$ type	6
Polygon gluing and commuting bosonic operators	6
Dynamics of a singularly perturbed system of two differential equations with delay	6
Existence and uniqueness of fixed points of an integral operator of Hammerstein type	5
Quasiperiodic solutions of an extended MKdV hierarchy	5
The number of endpoints of a random walk on a semi-infinite metric path graph	5
Relaxing solitons of a biaxial ferromagnet	5
Dynamics of three-dimensional magnetic structures in the Heisenberg model	5
Nonwandering continuum possessing the Wada property	5
Elliptic solutions of the Toda lattice hierarchy and the elliptic Ruijsenaars–Schneider model	5
Free oscillator realization of Laguerre polynomials	5
Internal solitary waves with trapped cores in multilayer shallow water	5
Limit distribution of the nodal domain number for the right-isosceles triangle billiard	5
On Poincaré–Birkhoff–Witt basis of the quantum general linear superalgebra	4
Coupled KP and BKP hierarchies and the corresponding symmetric functions	4
Theory of the anticontinuous limit for spin Hamiltonians. Search for discrete breather modes	4
Violation of the $$T$$ invariance in the probabilities of spin–flavor transitions of neutrino characterized by a real mixing matrix	4
Matrix Painlevé II equations	4
On an alternative stratification of knots	4
Integration of the Hirota equation with time-dependent coefficients	4
Vulnerability of quantum cryptography with phase–time coding under attenuation conditions	4
On partially hyperbolic symplectic automorphisms of a 6-torus	4
On the classification of nonlinear integrable three-dimensional chains via characteristic Lie algebras	4
Classification of solutions of the generalized mixed nonlinear Schrödinger equation	4
Action of the monodromy matrix elements in the generalized algebraic Bethe ansatz	4
A class of reductions of the two-component KP hierarchy and the Hirota–Ohta system	4
Nonstandard Lagrangians for a real scalar field and a fermion field from the nonuniqueness principle	4
Quantum coin flipping, qubit measurement, and generalized Fibonacci numbers	4
Integration of the two-dimensional Heisenberg model by methods of differential geometry	4
The existence proof for forced oscillations by adding dissipative forces in the example of a spherical pendulum	4
On one interpolation inequality and its application to the Bürgers equation	4
On the constrained discrete mKP hierarchies: Gauge transformations and the generalized Wronskian solutions	4
On the constrained $$q$$-mKP hierarchy: Additional symmetry and a hidden Virasoro algebraic structure	4
Effects of a global monopole on quantum systems with the exponential potential	4
Existence and stability of stationary solutions with boundary layers in a system of fast and slow reaction–diffusion–advection equations with KPZ nonlinearities	4
Diagonal reduction algebra for $$\mathfrak{osp}(1|2)$$	3
Interrelations between dualities in classical integrable systems and a classical–classical version of the quantum–classical duality	3
Diffusion of a collisionless gas	3
Extensions of Yang–Baxter sets	3
Multibreather-like solutions of the real and complex reverse space–time nonlocal defocusing short-pulse equations	3
On the factorization method for the quantum statistical description of dynamics of an isolated spin system	3
Application of the $$\bar\partial$$-dressing method to a $$(2+1)$$-dimensional equation	3
On unstable contrast structures in one-dimensional reaction–diffusion–advection problems with discontinuous sources	3
Loop, cuspon, and soliton solutions of a multicomponent discrete complex short-pulse equation	3
Rolling motion dynamics of a spherical robot with a pendulum actuator controlled by the Bilimovich servo-constraint	3
On the Riemann–Hilbert problem of the matrix Lakshmanan–Porsezian–Daniel system with a $$4\times4$$ AKNS-type matrix Lax pair	3
Darboux transformations for the discrete versions of the KP and strict KP hierarchies	3
Solving the modified Camassa–Holm equation via the inverse scattering transform	3
Dynamics of kink-soliton solutions of the $$(2+1)$$-dimensional sine-Gordon equation	3

Solution of the fractional Liouville equation by using Riemann–Liouville and Caputo derivatives in statistical mechanics	3
Quantifying the irreversibility of channels	3
Asymptotics of solutions of the Cauchy problem for a singularly perturbed operator differential transport equation	3
Algebro-geometric quasiperiodic solutions of the nonlocal reverse space–time sine-Gordon equation	3
Classification of semidiscrete equations of hyperbolic type. The case of fifth-order symmetries	3
Quantum oscillations in the black hole horizon	3
On the extended 2-dimensional Toda lattice models	3
The focusing coupled modified Korteweg–de Vries equation with nonzero boundary conditions: the Riemann–Hilbert problem and soliton classification	3
Groups of diagonal gates in the Clifford hierarchy	3
Similarity reductions of peakon equations: the $$b$$-family	3
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	3
Gauge equivalence of $$1+1$$ Calogero–Moser–Sutherland field theory and a higher-rank trigonometric Landau–Lifshitz model	3
Periodic solutions of a differential equation with a discontinuous delayed neutral-type feedback	3
Periodic Gibbs measures for the Potts model in translation-invariant and periodic external fields on the Cayley tree	3
Modeling the traffic flow in areas with different speed limits	3
Long-time asymptotic behavior and bound state soliton solutions for a generalized derivative nonlinear Schrödinger equation	3
Total, classical, and quantum uncertainty matrices via operator monotone functions	2
Asymptotic integrability of nonlinear wave equations and the semiclassical limit of Lax pairs	2
On the $$R$$-matrix identities related to elliptic anisotropic spin Ruijsenaars–Macdonald operators	2
Approximate analytic solution of the Logunov–Tavkhelidze equation for a one-dimensional oscillator potential in the relativistic configuration representation	2
Accommodation factors and mechanisms for the destruction of carbon- and ceramics-based composite materials	2
Determinants in quantum matrix algebras and integrable systems	2
Plasma oscillations in a generalized Snyder space	2
From the Wigner function to the $$s$$-ordered phase-space distribution via a Gaussian noise channel	2
Multiscale model reduction for a thermoelastic model with phase change using a generalized multiscale finite-element method	2
Integration of the differential–difference sine-Gordon equation with a self-consistent source	2
Stability of a stationary solution of a system of activator–inhibitor-type equations with a double-scale internal transition layer	2
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	2
Relativistic linear oscillator under the action of a constant external force. Transition amplitudes and the Green’s function	2
Nonexplicit versions of integrable equations	2
Elliptic families of solutions of the constrained Toda hierarchy	2
Riemann–Hilbert approach and $$N$$-soliton solutions of the generalized mixed nonlinear Schrödinger equation with nonzero boundary conditions	2
Solutions of three nonlocal equations with self-consistent sources by the inverse scattering transform and reductions	2
Implications of generalized Compton wavelength in the effects of general relativity	2
Exact solution of the problem of the interaction between a point charge and an insulator with nonlinear susceptibility	2
Ultraviolet regularization of energy of two static sources in the bottom-up holographic approach to strong interactions	2
On the evolution of states of controlled qubits	2
Exact spin states and analytic formulas for nonequilibrium spin transport in a three-site one-dimensional system with interacting electrons	2
Discrete traveling waves in a relay system of Mackey–Glass equations with two delays	2
Minimal realizations and scaling invariance of the discrete KP hierarchy and its strict version	2
Prüfer transformation and its application to the numerical description of the motion of quantum particles with various spins in the fields of classical black holes	2
Can the energy of a particle be negative in the absence of external fields?	2
Emergent Planck mass and dark energy from affine gravity	2
Set-theoretical solutions of the Zamolodchikov tetrahedron equation on associative rings and Liouville integrability	2
Self-gravitating Higgs field of scalar charge	2
Evolution of spherical perturbations in the cosmological environment of degenerate scalar-charged fermions with a scalar Higgs coupling	2
Construction of localized particular solutions of chains with three independent variables	2
A new stability equation for the Abelian Higgs–Kibble model with a dimension-6 derivative operator	2
Gibbs measures for the Potts model with a countable set of spin values on a Cayley tree	2
On positive fixed points of operator of Hammerstein type with degenerate kernel and Gibbs measures	2
BRST–BV approach for interacting higher-spin fields	2
Integrals and characteristic algebras for systems of discrete equations on a quadrilateral graph	2
Complicated behavior in cubic Hénon maps	2
Integral problem for Schrödinger-type equations with the general elliptic part	2
Andreev states in a quasi-one-dimensional superconductor on the surface of a topological insulator	2
Toy model of a Boltzmann-type equation for the contact force distribution in disordered packings of particles	2
Quantum adiabatic theorem with energy gap regularization	2
Composite operators of stochastic model A	2
On modified $$B$$KP systems and generalizations	2
Two-photon production of dileptons at the LHC with electroweak corrections taken into account	2
Scalar products of Bethe vectors in the generalized algebraic Bethe ansatz	2
Effective wavelength of envelope waves on the water surface beneath an ice sheet: small amplitudes and moderate depths	1
Multitime propagators and the consistency condition	1
Mirror map for Fermat polynomials with a nonabelian group of symmetries	1
Quasidifferential operator and quantum argument shift method	1
Quantum corrections to the effective potential in nonrenormalizable theories	1
Asymptotic solutions of the quantum scattering problem for binary collisions in a system of three charged particles. The inclusion of the dipole interaction	1
Recent progress in the theory of functions of several complex variables and complex geometry	1
Global-in-time solvability of a nonlinear system of equations of a thermal–electrical model with quadratic nonlinearity	1
Topological meaning of the slope of the Kolmogorov spectrum of magnetic turbulence	1
Majorana fermions, supersymmetry, and thermofield dynamics	1
Traveling-wave solution of the Tzitzéica-type equations by using the unified method	1
Fractional multiple trapping model of time-of-flight transient photocurrents in amorphous semiconductors	1
Functional integrals and phase stability properties in the $$O(N)$$ vector field condensation model	1
On the unique solvability of the div–curl problem in unbounded domains and energy estimates of solutions	1
Motion of particles in the field of nonlinear wave packets in a liquid layer under an ice cover	1
Differential equations for the Majorana particle in $${3+1}$$ and $${1+1}$$ dimensions	1
Integrable super extensions of $$K(-2,-2)$$ equation	1
Periodic two-cluster synchronization modes in fully coupled networks of nonlinear oscillators	1
Dark matter as a gravitational effect in the embedding theory approach	1

$$\ell$$-weights and factorization of transfer operators	1
Symmetries of the multicomponent $$q$$-KP hierarchy on a Grassmannian	1
Sigma models as Gross–Neveu models	1
Group analysis of the one-dimensional Boltzmann equation. Invariants and the problem of moment system closure	1
Constrained discrete KP hierarchy: The constraint on the tau functions and gauge transformations	1
Hamiltonian theory of motion of dark solitons in the theory of nonlinear Schrödinger equation	1
Real Hamiltonian forms of affine Toda field theories: Spectral aspects	1
On nonlinear convolution-type integral equations in the theory of $$p$$-adic strings	1
Strip deformation problem in three models of hydrodynamics	1
On the solvability of the Cauchy problem for a thermal–electrical model	1
Evolution of the magnetic field in spatially inhomogeneous axion structures	1
On the properties of solutions of a system of two nonlinear differential equations associated with the Josephson model	1
Darboux transformation and exact solutions of the variable-coefficient nonlocal Gerdjikov–Ivanov equation	1
Influence of finite-density fluctuations on the development of the Rayleigh–Taylor instability in a porous medium	1
Higher-rank generalization of the 11-vertex rational $$R$$-matrix: IRF–vertex relations and the associative Yang–Baxter equation	1
Multisoliton and rational solutions for the extended fifth-order KdV equation in fluids with self-consistent sources	1
Energy–momentum tensor of a causally disconnected region of the Universe, the cosmological constant, and the inflationary model	1
On Dirichlet problem	1
Asymptotics of hypergeometric coherent states and eigenfunctions of the hydrogen atom in a magnetic field. Determination of self-consistent energy levels	1
Binary Bargmann symmetry constraint and algebro-geometric solutions of a semidiscrete integrable hierarchy	1
The law of large numbers for quantum stochastic filtering and control of many-particle systems	1
Unitary representation of walks along random vector fields and the Kolmogorov–Fokker–Planck equation in a Hilbert space	1
Cauchy matrix solutions of some local and nonlocal complex equations	1
Two-dimensional Dirac oscillator in a magnetic field in deformed phase space with minimal-length uncertainty relations	1
Periodic Gibbs measures for the three-state SOS model on a Cayley tree with a translation-invariant external field	1
A type of multicomponent nonisospectral generalized nonlinear Schrödinger hierarchies	1
Relativistic linear oscillator under the action of a constant external force. Wave functions and dynamical symmetry group	1
Boundary control problem for the reaction– advection– diffusion equation with a modulus discontinuity of advection	1
Application of the trigonal curve to a hierarchy of generalized Toda lattices	1
Superfield Bäcklund and Darboux transformations of an $$\mathcal N=1$$ supersymmetric coupled dispersionless integrable system	1
Low-energy asymptotics of the phases of two-dimensional scattering of a quantum particle by a central long-range potential	1
Some new methods for studying boundary value problems for general partial differential equations	1
Similarity of cosmological models and its application to the analysis of cosmological evolution	1
Fractional derivative method for describing solitons on the surface of deep water	1
Scaling violation and the appearance of mass in scalar quantum field theories	1
Duffin–Kemmer–Petiau oscillator in topologically charged Ellis–Bronnikov-type wormhole	1
Einstein–Maxwell equations: Solution-generating methods as “coordinate” transformations in the solution spaces	1
Finite-gap solutions of the real modified Korteweg–de Vries equation	1
Complex energies and the Lambert $$W$$ function	1
On the scattering problem for a potential decreasing as the inverse square of distance	1
On the problem of classifying integrable chains with three independent variables	1
Exact smooth and nonsmooth solutions for integro-partial differential equations by rapidly convergent approximation method	1
Inverse scattering problem for the Schrödinger equation with an additional increasing potential on the line	1
Influence of the electrodynamic stability of streaming fluid cylinders surrounded by dielectric gravitational fluid under a radial-varying electric field	1
Riemann–Hilbert approach and $$N$$-soliton solutions of the generalized mixed nonlinear Schrödinger equation	1
Machine learning of the well-known things	1
On the blowup of solutions of the Cauchy problem for nonlinear equations of ferroelectricity theory	1
On qualitative properties of the solution of a boundary value problem for a system of nonlinear integral equations	1
Sigma models as Gross–Neveu models. II	1
On some linear equations associated with dispersionless integrable systems	1
Geometry and quasiclassical quantization of magnetic monopoles	1
On mathematical problems in the theory of topological insulators	1
Dynamical description of the phase transition to the superconducting state	1
Multidimensional Zaremba problem for the $$p(\,\cdot\,)$$-Laplace equation. A Boyarsky–Meyers estimate	1
Lie algebraic approach to the Hellmann Hamiltonian by considering perturbation method	1
Representation of Bessel functions by the Maslov canonical operator	1
Vlasov–Maxwell–Einstein-type equations and their consequences. Applications to astrophysical problems	1
Thermal properties of the 2D Klein–Gordon oscillator in a cosmic string space–time	1
Integration of negative-order modified Korteweg–de Vries equation in a class of periodic functions	1
Nonlinear Evolutionary Schrödinger Equation in the Supercritical Case	1
Tau-function of the B-Toda hierarchy	1
Erratum to: Bogoliubov’s causal perturbative QED and white noise. Interacting fields	1
Tutte polynomials of vertex-weighted graphs and group cohomology	1
Analytic properties of the Green’s function for the equation of internal gravitational waves in a stratified medium with shear flows	1
Solitons in a semi-infinite ferromagnet with anisotropy of the easy axis type	1
Three-dimensional vortices in the Heisenberg model	1
Fixed points of an infinite-dimensional operator related to Gibbs measures	1
Singularities of 3D vector fields preserving the Martinet form	1
Virasoro symmetries of a coupled rational reduced 2D Toda hierarchy	1
Revisiting solutions of the Adler–Bobenko–Suris lattice equations and lattice Boussinesq-type equations	1
A supersymmetric second Painlevé hierarchy and bilinearization	1
Erratum to: Relaxation Oscillations in a Logistic Equation with State-in-the-Past-Dependent Delay	1
On the integrability of a four-component super system	1
Gauge transformations between reduced $$q$$-KP and reduced $$q$$-mKP hierarchies	1
Multi-pole extension of the elliptic models of interacting integrable tops	1
Problem of determining the speed of sound and the memory of an anisotropic medium	1
Effect of a cloud of strings and quintessence on a phase transition of charged rotating AdS black holes	0
On the photon emission by a variable electromagnetic field	0
Investigation of the transition to instability of the water boiling front during injection into a geothermal reservoir	0
Four-component integrable hierarchies of Hamiltonian equations with ($$m+n+2$$)th-order Lax pairs	0
3D consistency of negative flows	0
On the Hirota equation with a self-consistent source	0
Energy spectrum design and potential function engineering	0
Gauge coupling unification in the flipped $$E_8$$ GUT	0
Variational formulation of the problem on vibrations of a beam with a moving spring-loaded support	0
Integration of the Kaup–Boussinesq system with time-dependent coefficients	0
On the existence of certain elliptic solutions of the cubically nonlinear Schrödinger equation	0
Erratum to: Kinetic coefficients in a time-dependent Green’s function formalism at finite temperature	0
Inverse scattering transform for the focusing Hirota equation with asymmetric boundary conditions	0
Classification of the two-component Benjamin–Ono systems	0
Higher spins in harmonic superspace	0
Overlap between usual and modified Bethe vectors	0
Nonlocal abstract Ginzburg–Landau-type equations and applications	0
Algebraic structures behind the Yang–Baxterization process	0
Generating quantum dynamical mappings	0