OOIR: Observatory of International Research

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 2021-04-01 to 2025-04-01.)

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
Gibbs measures for the HC Blume–Capel model with countably many states on a Cayley tree	11
Local dynamics of equation with periodically distributed delay	11
Wave propagation in the Kolmogorov–Petrovsky–Piscounov–Fisher equation with delay	10
Quasi-Grammian loop dynamics of a multicomponent semidiscrete short pulse equation	9
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
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
Limit distribution of the nodal domain number for the right-isosceles triangle billiard	5
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
Existence and stability of stationary solutions with boundary layers in a system of fast and slow reaction–diffusion–advection equations with KPZ nonlinearities	4
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
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
Interrelations between dualities in classical integrable systems and a classical–classical version of the quantum–classical duality	3
Diffusion of a collisionless gas	3
Rolling motion dynamics of a spherical robot with a pendulum actuator controlled by the Bilimovich servo-constraint	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
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

Quantum oscillations in the black hole horizon	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
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
Diagonal reduction algebra for $$\mathfrak{osp}(1\|2)$$	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
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
Integration of the differential–difference sine-Gordon equation with a self-consistent source	2
Multiscale model reduction for a thermoelastic model with phase change using a generalized multiscale finite-element method	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
Stability of a stationary solution of a system of activator–inhibitor-type equations with a double-scale internal transition layer	2
Nonexplicit versions of integrable equations	2
Relativistic linear oscillator under the action of a constant external force. Transition amplitudes and the Green’s function	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
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
Minimal realizations and scaling invariance of the discrete KP hierarchy and its strict version	2
Emergent Planck mass and dark energy from affine gravity	2
Can the energy of a particle be negative in the absence of external fields?	2
Self-gravitating Higgs field of scalar charge	2
Set-theoretical solutions of the Zamolodchikov tetrahedron equation on associative rings and Liouville integrability	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
Quantum adiabatic theorem with energy gap regularization	2
Toy model of a Boltzmann-type equation for the contact force distribution in disordered packings of particles	2
On modified $$B$$KP systems and generalizations	2
Composite operators of stochastic model A	2
Scalar products of Bethe vectors in the generalized algebraic Bethe ansatz	2
Two-photon production of dileptons at the LHC with electroweak corrections taken into account	2
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