OOIR: Observatory of International Research

Papers

(The TQCC of Theoretical and Mathematical Physics is 3. 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 2022-08-01 to 2026-08-01.)

Article	Citations
Analogue of Goeritz matrices for computation of bipartite HOMFLY–PT polynomials	65
Shanks extrapolation method and exact solutions of equations of nonlinear mathematical physics	38
On Darboux integrable equations with non-autonomous first-order integrals	31
Extensions of Yang–Baxter sets	25
Symmetry transformations of the vortex field statistics in optical turbulence	17
Elliptic families of solutions of the constrained Toda hierarchy	17
Local dynamics of equation with periodically distributed delay	16
On one interpolation inequality and its application to the Bürgers equation	16
Implications of generalized Compton wavelength in the effects of general relativity	15
Existence and stability of stationary solutions with boundary layers in a system of fast and slow reaction–diffusion–advection equations with KPZ nonlinearities	15
Long-time asymptotic behavior and bound state soliton solutions for a generalized derivative nonlinear Schrödinger equation	13
Feynman integral in QFT and white noise on a compactified version of space–time with a Lie group structure	12
The focusing coupled modified Korteweg–de Vries equation with nonzero boundary conditions: the Riemann–Hilbert problem and soliton classification	12
Nonstandard Lagrangians for a real scalar field and a fermion field from the nonuniqueness principle	12
Riemann–Hilbert approach to coupled nonlinear Schrödinger equations on a half-line	12
Periodic traveling waves in a nonlocal erosion equation	10
On the construction of integrable symplectic mappings	10
Deviation of trajectories in nonrelativistic and relativistic cases and Shirokov effect	10
Hall current and MHD impacts on a 3D Maxwell nanofluid flow across a porous stretching surface	10
Evolution of flat perturbations in a cosmological environment of a scalar field with self-action and an ideal scalar-neutral fluid	10
Dimensional reduction of nonlinear differential equations on homogeneous spaces	10
Nonlinear dynamics of a two-axis ferromagnet on the semiaxis	9
Derivative forms of the three-component nonlinear Schrödinger equation and their simplest solutions	9
Nonexplicit versions of integrable equations	8
Asymptotic solutions of the quantum scattering problem for binary collisions in a system of three charged particles. The inclusion of the dipole interaction	8

Gibbs measures for the Potts model with a countable set of spin values on a Cayley tree	8
Stability of a stationary solution of a system of activator–inhibitor-type equations with a double-scale internal transition layer	8
Transport solutions for biquaternion generalizations of Dirac and Maxwell equations at subluminal speeds and their properties	8
Minimal realizations and scaling invariance of the discrete KP hierarchy and its strict version	8
Universality of stochastic Laplacian growth	8
On alleged solutions of the cubically nonlinear Schrödinger equation	7
Energy–momentum tensor of a causally disconnected region of the Universe, the cosmological constant, and the inflationary model	7
Jacobi inversion and solutions of Hitchin systems	7
On the properties of solutions of a system of two nonlinear differential equations associated with the Josephson model	7
On the hypothesis of a second Higgs boson near 0.5 TeV	7
Fractional multiple trapping model of time-of-flight transient photocurrents in amorphous semiconductors	7
Dynamics of three-dimensional localized wave packets defined by the spherical Bessel function $$\mathbf{j}_0(x)$$	7
Review of exact solutions and reductions of Monge–Ampère type equations	7
Study of a flat universe using the FRW model	6
Discrete symmetries of integrable differential equations	6
Superstatistical properties of the Dirac oscillator with gamma, lognormal, and F distributions	6
A new solvable two-matrix model and the BKP tau function	6
Some new methods for studying boundary value problems for general partial differential equations	6
Stationary thermal front in the problem of reconstructing the semiconductor thermal conductivity coefficient using simulation data	6
On the unique solvability of the div–curl problem in unbounded domains and energy estimates of solutions	6
Constrained discrete KP hierarchy: The constraint on the tau functions and gauge transformations	6
Symmetries of the multicomponent $$q$$-KP hierarchy on a Grassmannian	6
Magnetohydrodynamic unsteady rotating Casson fluid flow with Hall and ion-slip impacts	6
Dynamics of a three species syn-ecological ammensalsim model: A stochastic approach	6
Generation of mass and scalar charge of supermassive black holes via the mechanism of scalar-gravitational instability	6
On Dirichlet problem	6
Multidimensional Zaremba problem for the $$p(\,\cdot\,)$$-Laplace equation. A Boyarsky–Meyers estimate	6
Entanglement entropy of a near-extremal black hole	5
Evolution of plane perturbations in the cosmological environment of the Higgs scalar field and an ideal scalar-charged fluid	5
Rogue waves of the $$(2+1)$$-dimensional integrable reverse space–time nonlocal Schrödinger equation	5
The description of generalized translation-invariant $$p$$-adic Gibbs measures for the Potts model on the Cayley tree of order three	5
Gateway-like absurdly benign traversable wormhole solutions	5
The $$\pm J$$ distribution in the mixed spin-$$1/2$$ and $$5/2$$ Blume–Capel model	5
Fermionic fields in a four-dimensional $$\Lambda$$ Bonnor–Melvin space–time	5
Bose gas modeling of the Schwarzschild black hole thermodynamics	5
Néel temperature of a quasi-two-dimensional triangular-lattice antiferromagnet	5
Nonabelian fermionic T-duality for the fundamental string	5
Green–Kubo formula for electrical conductivity of a driven $$0$$–$$\pi$$ qubit	5
Second-order quantum argument shifts in $$Ugl_d$$	5
Recent progress in the theory of functions of several complex variables and complex geometry	5
Breather, rogue wave, lump, and interaction solutions of the $$(2+1)$$-dimensional generalized nonlocal Mel’nikov system	5
Hamiltonian mapping and quantum perturbation equations in the point matter black hole and noncommutative black hole models	5
Cauchy problem for a nonlinear Schrödinger equation with a large initial gradient in the weakly dispersive limit	5
Solutions of the analogues of time-dependent Schrödinger equations corresponding to a pair of $$H^{3+2}$$ Hamiltonian systems	5
Analytical properties of the spectral problem for the internal gravity waves equation with shear flows under critical wave generation modes	4
Euler’s difference table and the decomposition of tensor powers of the adjoint representation of the $$A_n$$ Lie algebra	4
Using the Kantorovich–Galerkin approach to analyze the resonant characteristics of damped systems	4
Hybrid FEM-neural network approach to radiative slip flow of TiO$$_2$$–SiO$$_2$$ nanofluid over stretching surfaces	4
Generalized uncertainty relations, particles, black holes, and Casimir effect in the three-dimensional quantum vacuum	4
Method for estimating the number of zeros of the spatially one-dimensional Pauli–Jordan–Dirac function on spatial intervals using the Kronecker theorem	4

Cauchy matrix approach to the noncommutative Kadomtsev–Petviashvili equation with self-consistent sources	4
Stabilization of the front in a medium with discontinuous characteristics	4
On solutions of matrix soliton equations	4
Nonlinearity in the inverse problems of orbital dynamics using the example of potentially hazardous asteroids and outer satellites of Jupiter	4
Nonperfect Carrollian fluids through holography	4
Influence of quark–gluon string interactions on particle correlations in p+p collisions	4
Implicit quiescent solitons in optical metamaterials with an array of self-phase modulation structures by Lie symmetry	4
Analytical properties of solutions to nonlinear systems of differential equations associated with some random matrix type models	4
Hall current and thermal diffusion effects on an unsteady MHD free convection flow of non-Newtonian fluid	4
Quasi-Grammian soliton and kink dynamics of an $$M$$-component semidiscrete coupled integrable system	4
$$n$$-valued quandles and associated bialgebras	4
Three-electron first doublet in the impurity Hubbard model	4
On the geometric anatomy of a nonwandering continuum possessing the Wada property	4
Tau functions of the UC hierarchy as partition functions of matrix models	4
The structure of quantum corrections and exact results in supersymmetric theories from the higher covariant derivative regularization	4
Higher spins in harmonic superspace	4
Strong decays of the charmonium-like state $$Y(4230)$$ and radiative transitions of low-lying charmoniums	4
Algebraic structures behind the Yang–Baxterization process	4
Einstein–dilaton-four–Maxwell holographic anisotropic models	4
On the $$k$$th higher Nash blow-up derivation Lie algebras of isolated hypersurface singularities	4
A coupled mathematical model for wind and sand dynamics	4
Infinitely many rotating periodic solutions for damped vibration systems	4
Butterfly velocity and chaos suppression in de Sitter space	4
On symmetries of the nonstationary $$\mathrm{P}_\mathrm{II}^{(n)}$$ hierarchy and their applications	4
Lotka–Volterra model with mutations and generative adversarial networks	4
A way to constrain graviton mass from astronomical observations	4
Two-species reaction–diffusion system in the presence of random velocity fluctuations	4
Modular-type nonlinearity in the modeling of tumor spheroid growth	4
Black brane/Bose gas duality and the third law of thermodynamics	4
Formation of the region of phase transformations in the case of the conversion of CH$$_4$$ hydrate into CO$$_2$$ hydrate in a porous medium	4
Superpositions of coherent states determined by Gauss sums	4
On an alternative stratification of knots	4
Lie group geometry: Riemann and Ricci tensors and normal forms of Lie algebras	4
On the Hirota equation with a self-consistent source	4
Direct sampling method for the inverse elastic wave scattering problem	4
Noether charge, thermodynamics and phase transition of a black hole in the Schwarzschild– anti-de Sitter–Beltrami spacetime	4
Minimal algebraic solutions of the sixth Painlevé equation	4
Nonlocal abstract Ginzburg–Landau-type equations and applications	4
On the uniqueness problem for a central invariant manifold	4
Magnetohydrodynamic flow through a porous medium in a coaxial circular duct	3
Self-gravitating Higgs field of scalar charge	3
Duffin–Kemmer–Petiau oscillator in topologically charged Ellis–Bronnikov-type wormhole	3
Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation	3
Two-dimensional Dirac oscillator in a magnetic field in deformed phase space with minimal-length uncertainty relations	3
Solution of double and triple sine-Gordon equations	3
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	3
Application of the trigonal curve to a hierarchy of generalized Toda lattices	3
Composite operators of stochastic model A	3
Solution of the fractional Liouville equation by using Riemann–Liouville and Caputo derivatives in statistical mechanics	3
On partially hyperbolic symplectic automorphisms of a 6-torus	3
Lie algebraic approach to the Hellmann Hamiltonian by considering perturbation method	3
Exact smooth and nonsmooth solutions for integro-partial differential equations by rapidly convergent approximation method	3
On the integrable symplectic map and the $$N$$-soliton solution of the Toda lattice	3
Asymptotics of solutions of the Schrödinger equation with a two-dimensional quadratic inverted potential and localized right-hand side	3
Rational solutions of nonautonomous quadrilateral equations by the bilinearization of Bäcklund transformation systems	3
Unitary representation of walks along random vector fields and the Kolmogorov–Fokker–Planck equation in a Hilbert space	3
A new stability equation for the Abelian Higgs–Kibble model with a dimension-6 derivative operator	3
Accelerating barotropic fluid cosmological model in $$f(R,T)$$ gravity	3
Similarity of cosmological models and its application to the analysis of cosmological evolution	3
Periodic solutions of a differential equation with a discontinuous delayed neutral-type feedback	3
On Poincaré–Birkhoff–Witt basis of the quantum general linear superalgebra	3
Dynamical description of the phase transition to the superconducting state	3
Resonance fluorescence of polar quantum systems in a bichromatic field	3
Three-loop $$\beta$$-functions and NSVZ relations for the MSSM regularized by higher covariant derivatives	3
Geometry and quasiclassical quantization of magnetic monopoles	3
Cycles with the embedded bursting effect in a circle of neural oscillators	3
On the problem of classifying integrable chains with three independent variables	3
Set-theoretical solutions of the Zamolodchikov tetrahedron equation on associative rings and Liouville integrability	3
Periodic Gibbs measures for the three-state SOS model on a Cayley tree with a translation-invariant external field	3
Nonlocality, integrability, and solitons	3