Theoretical and Mathematical Physics

Papers
(The TQCC of Theoretical and Mathematical Physics is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-05-01 to 2024-05-01.)
ArticleCitations
Lie symmetry, nonlocal symmetry analysis, and interaction of solutions of a (2+1)-dimensional KdV–mKdV equation37
Four-component integrable hierarchies of Hamiltonian equations with ($$m+n+2$$)th-order Lax pairs36
Dark $$f(\mathcal{R},\varphi,\chi)$$ universe with Noether symmetry32
Finite-dimensional tau functions of the universal character hierarchy19
Inverse Scattering Transform and Soliton Classification of Higher-Order Nonlinear Schrödinger-Maxwell-Bloch Equations15
Complete cosmological model based on an asymmetric scalar Higgs doublet14
Bäcklund Transformations for the Degasperis-Procesi Equation13
Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation11
Integration of the nonlinear Korteweg–de Vries equation with an additional term11
Multisoliton solutions of the Degasperis–Procesi equation and its shortwave limit: Darboux transformation approach10
Threshold effects in a two-fermion system on an optical lattice9
Matrix Painlevé II equations9
Pure soliton solutions of the nonlocal Kundu–nonlinear Schrödinger equation9
Review of methods for constructing exact solutions of equations of mathematical physics based on simpler solutions8
Quantum mechanics of stationary states of particles in a space–time of classical black holes8
On the Riemann–Hilbert problem of the matrix Lakshmanan–Porsezian–Daniel system with a $$4\times4$$ AKNS-type matrix Lax pair8
Exponentially confining potential well8
Effective wavelength of envelope waves on the water surface beneath an ice sheet: small amplitudes and moderate depths8
Angular part of the Schrödinger equation for the Hautot potential as a harmonic oscillator with a coordinate-dependent mass in a uniform gravitational field8
Heat kernel: Proper-time method, Fock–Schwinger gauge, path integral, and Wilson line8
Application of the $$\bar\partial$$-dressing method to a $$(2+1)$$-dimensional equation8
Long-time asymptotics for the nonlocal Kundu–nonlinear-Schrödinger equation by the nonlinear steepest descent method7
Sigma models as Gross–Neveu models7
Multicomponent fractional Volterra hierarchy and its subhierarchy with Virasoro symmetry7
Novikov equation: Bäcklund transformation and applications7
Holliday junctions in the Blume–Capel model of DNA7
Anisotropic solutions for a holographic heavy-quark model with an external magnetic field7
The KNTZ trick from arborescent calculus and the structure of the differential expansion6
Infinite number of eigenvalues of $$2{\times}2$$ operator matrices: Asymptotic discrete spectrum6
Spatial Wilson loops in a fully anisotropic model6
Multiphase solutions of nonlocal symmetric reductions of equations of the AKNS hierarchy: General analysis and simplest examples6
Elliptic solutions of the Toda lattice hierarchy and the elliptic Ruijsenaars–Schneider model6
Study on anisotropic strange stars in Rastall gravity6
The law of large numbers for quantum stochastic filtering and control of many-particle systems6
Noncommutative Kepler Dynamics: symmetry groups and bi-Hamiltonian structures5
Lagrangian manifolds and the construction of asymptotics for (pseudo)differential equations with localized right-hand sides5
Airy functions and transition between semiclassical and harmonic oscillator approximations for one-dimensional bound states5
Riemann–Hilbert problem for the modified Landau–Lifshitz equation with nonzero boundary conditions5
On two direct limits relating pseudo-Jacobi polynomials to Hermite polynomials and the pseudo-Jacobi oscillator in a homogeneous gravitational field5
From stabilizer states to SIC-POVM fiducial states5
Uniqueness and nonuniqueness conditions for weakly periodic Gibbs measures for the hard-core model5
Explicit construction of $$N=2$$ superconformal orbifolds5
Representation of Bessel functions by the Maslov canonical operator5
Anisotropic solution of the holographic model of light quarks with an external magnetic field5
Thermodynamics of interacting systems of DNA molecules4
Thermal properties of the 2D Klein–Gordon oscillator in a cosmic string space–time4
Quantum oscillations in the black hole horizon4
Dependence of the phase of the elastic scattering amplitude on momentum transfer4
$$q$$-Universal characters and an extension of the lattice $$q$$-universal characters4
Properties of Shape-Invariant Tridiagonal Hamiltonians4
On periodic Gibbs measures of the Ising model corresponding to new subgroups of the group representation of a Cayley tree4
Kadomtsev–Petviashvili hierarchies of types B and C4
Multi-pole extension of the elliptic models of interacting integrable tops4
Quasi-solid state microscopic dynamics in equilibrium classical liquids: Self-consistent relaxation theory4
Coincidences between Calabi–Yau manifolds of Berglund–Hübsch type and Batyrev polytopes4
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 diagrams4
On Killing tensors in three-dimensional Euclidean space4
Cosmological models based on a statistical system of scalar charged degenerate fermions and an asymmetric Higgs scalar doublet4
Integrable extensions of the Adler map via Grassmann algebras4
Entanglement entropy of a near-extremal black hole4
Resonance interaction of breathers in the Manakov system4
The self-consistent field method and macroscopic Einstein equations for the early universe4
Integrals and characteristic algebras for systems of discrete equations on a quadrilateral graph4
Similarity reductions of peakon equations: the $$b$$-family4
Solution with an inner transition layer of a two-dimensional boundary value reaction–diffusion–advection problem with discontinuous reaction and advection terms4
Riemann–Hilbert problem for the Kundu-type nonlinear Schrödinger equation with $$N$$ distinct arbitrary-order poles4
Binary Darboux transformation for a negative-order AKNS equation4
A Gelfand–Tsetlin-type basis for the algebra $$\mathfrak{sp}_4$$ and hypergeometric functions4
Integration of a defocusing nonlinear Schrödinger equation with additional terms4
Inverse scattering transform for a nonlocal derivative nonlinear Schrödinger equation3
Cauchy matrix solutions of some local and nonlocal complex equations3
On the $$\bar\partial$$-problem and dressing method for the complex vector modified KdV equation3
Integration of the differential–difference sine-Gordon equation with a self-consistent source3
Algebraic Bethe ansatz for $$\mathfrak o_{2n+1}$$-invariant integrable models3
Integrating the modified Korteweg–de Vries– sine-Gordon equation in the class of periodic infinite-gap functions3
Gibbs measures for the HC Blume–Capel model with countably many states on a Cayley tree3
On soliton solutions and soliton interactions of Kulish–Sklyanin and Hirota–Ohta systems3
Periodic Gibbs measures for the Potts model in translation-invariant and periodic external fields on the Cayley tree3
Integration of the Matrix Modified Korteweg-de Vries Equation with an Integral-Type Source3
Analytic properties of the Green’s function for the equation of internal gravitational waves in a stratified medium with shear flows3
Discrete second-order Ablowitz–Kaup–Newell–Segur equation and its modified form3
Convergent perturbation theory for studying phase transitions3
Coupling of a biquaternionic Dirac field to a bosonic field3
Problem of determining the speed of sound and the memory of an anisotropic medium3
Projectors on invariant subspaces of representations $$\mathrm{ad}^{\otimes2}$$ of Lie algebras $$so(N)$$ and $$sp(2r)$$ and Vogel parameterization3
On the Kadomtsev-Petviashvili hierarchy in an extended class of formal pseudo-differential operators3
Dynamical behavior of stellar structures in $$f(\mathcal{G})$$ gravity3
$$\bar\partial$$-dressing method for a few $$(2+1)$$-dimensional integrable coupling systems3
Two-component complex modified Korteweg–de Vries equations: New soliton solutions from novel binary Darboux transformation3
Jacobi structures on real two- and three-dimensional Lie groups and their Jacobi–Lie systems3
Relativistic linear oscillator under the action of a constant external force. Wave functions and dynamical symmetry group3
Ground states for the Potts model with competing interactions and a countable set of spin values on a Cayley tree3
On mathematical problems in the theory of topological insulators3
Spin nonclassicality via variance3
A new class of spherically symmetric gravitational collapse3
Evolution of spherical perturbations in the cosmological environment of degenerate scalar-charged fermions with a scalar Higgs coupling3
Total, classical and quantum uncertainties generated by channels3
Elliptic families of solutions of the constrained Toda hierarchy3
Magnetic helicity flux for mean magnetic field equations3
A note on pair-dependent linear statistics with a slowly increasing variance3
Quantifying non-Gaussianity via the Hellinger distance3
Behavior of Andreev states for topological phase transition2
Obtaining multisoliton solutions of the (2+1)-dimensional Camassa–Holm system using Darboux transformations2
Nonlocal symmetries of some nonlinear partial differential equations with third-order Lax pairs2
Cahn–Hilliard equation with two spatial variables. Pattern formation2
Construction of an equivalent energy-dependent potential by a Taylor series expansion2
Local and nonlocal complex discrete sine-Gordon equation. Solutions and continuum limits2
Quantization of Some Generalized Jaynes-Cummings Models in a Kerr-Like Medium2
The $$\text{m}$$KdV-type equations related to $$A_5^{(1)}$$ and $$A_5^{(2)}$$ Kac–Moody algebras2
Relation between categories of representations of the super-Yangian of a special linear Lie superalgebra and quantum loop superalgebra2
Existence and stability of a stationary solution of the system of diffusion equations in a medium with discontinuous characteristics under various quasimonotonicity conditions2
On modified $$B$$KP systems and generalizations2
Multiple mirrors and the JKLMR conjecture2
BRST–BV approach for interacting higher-spin fields2
Commutator identities and integrable hierarchies2
Overlap between usual and modified Bethe vectors2
Riemann–Hilbert approach and $$N$$-soliton solutions of the generalized mixed nonlinear Schrödinger equation2
Collapse Rate of Solutions of the Cauchy Problem for the Nonlinear Schrödinger Equation2
Riemann–Hilbert approach and $$N$$-soliton solutions of the generalized mixed nonlinear Schrödinger equation with nonzero boundary conditions2
On a class of quadratic conservation laws for Newton equations in Euclidean space2
Semiclassical asymptotic spectrum of the two-dimensional Hartree operator near a local maximum of the eigenvalues in a spectral cluster2
Study of small perturbations of a stationary state in a model of upper hybrid plasma oscillations2
On the problem of classifying integrable chains with three independent variables2
Nonlinear Evolutionary Schrödinger Equation in the Supercritical Case2
Darboux transformation and exact solutions of the variable-coefficient nonlocal Gerdjikov–Ivanov equation2
Relaxation Oscillations in a Logistic Equation with State-in-the-Past-Dependent Delay2
Optimal time evolution for pseudo-Hermitian Hamiltonians2
Elliptic hypergeometric function and $$6j$$-symbols for the $$SL(2,{\mathbb C})$$ group2
Determinants in quantum matrix algebras and integrable systems2
Geometric model of the formation of superdiffusion processes2
Influence of finite-density fluctuations on the development of the Rayleigh–Taylor instability in a porous medium2
WKB expansion for a Yang–Yang generating function and the Bergman tau function2
Weak asymptotics of the wave function for an $$N$$-particle system and asymptotic filtration2
Complicated behavior in cubic Hénon maps2
Group extensions, fiber bundles, and a parametric Yang–Baxter equation2
Properties of solutions of two second-order differential equations with the Painlevé property2
Integrable system of generalized relativistic interacting tops2
The number of endpoints of a random walk on a semi-infinite metric path graph2
Comparative dynamics of chains of coupled van der Pol equations and coupled systems of van der Pol equations2
Study of cylindrically symmetric solutions in an $$f(R)$$ gravity background2
Asymptotic solution of a Coulomb multichannel scattering problem with a nonadiabatic channel coupling2
Integrable super extensions of $$K(-2,-2)$$ equation2
$$\ell$$-weights and factorization of transfer operators2
Chebyshev polynomials, Catalan numbers, and tridiagonal matrices2
Quadratic algebras based on $$SL(NM)$$ elliptic quantum $$R$$-matrices2
Liouville correspondences between multicomponent integrable hierarchies2
Dynamics of solutions of logistic equation with delay and diffusion in a planar domain2
Multiscale model reduction for a thermoelastic model with phase change using a generalized multiscale finite-element method2
A note on islands in Schwarzschild black holes2
Quasidifferential operator and quantum argument shift method2
Two-component generalized Ragnisco–Tu equation and the Riemann–Hilbert problem2
Mutual transition of Andreev and Majorana bound states in a superconducting gap2
Mirror map for Fermat polynomials with a nonabelian group of symmetries2
Variational formulation of the problem on vibrations of a beam with a moving spring-loaded support2
Internal solitary waves with trapped cores in multilayer shallow water2
Lagrangian BRST formulation of massive higher-spin fields of the general symmetry type2
Deformation quantization of framed presymplectic manifolds2
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