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 2022-05-01 to 2026-05-01.)

Article	Citations
Extensions of Yang–Baxter sets	65
Symmetry transformations of the vortex field statistics in optical turbulence	29
Elliptic families of solutions of the constrained Toda hierarchy	26
The existence proof for forced oscillations by adding dissipative forces in the example of a spherical pendulum	25
On one interpolation inequality and its application to the Bürgers equation	24
Implications of generalized Compton wavelength in the effects of general relativity	16
Local dynamics of equation with periodically distributed delay	15
Hall current and MHD impacts on a 3D Maxwell nanofluid flow across a porous stretching surface	14
Dimensional reduction of nonlinear differential equations on homogeneous spaces	14
Nonlinear dynamics of a two-axis ferromagnet on the semiaxis	13
Existence and stability of stationary solutions with boundary layers in a system of fast and slow reaction–diffusion–advection equations with KPZ nonlinearities	12
Periodic traveling waves in a nonlocal erosion equation	11
The focusing coupled modified Korteweg–de Vries equation with nonzero boundary conditions: the Riemann–Hilbert problem and soliton classification	10
Shanks extrapolation method and exact solutions of equations of nonlinear mathematical physics	10
Analogue of Goeritz matrices for computation of bipartite HOMFLY–PT polynomials	10
Feynman integral in QFT and white noise on a compactified version of space–time with a Lie group structure	10
On Darboux integrable equations with non-autonomous first-order integrals	10
Evolution of flat perturbations in a cosmological environment of a scalar field with self-action and an ideal scalar-neutral fluid	9
On the construction of integrable symplectic mappings	9
Long-time asymptotic behavior and bound state soliton solutions for a generalized derivative nonlinear Schrödinger equation	9
Nonstandard Lagrangians for a real scalar field and a fermion field from the nonuniqueness principle	8
Minimal realizations and scaling invariance of the discrete KP hierarchy and its strict version	8
Riemann–Hilbert approach to coupled nonlinear Schrödinger equations on a half-line	8
Nonexplicit versions of integrable equations	8
Dynamics of three-dimensional localized wave packets defined by the spherical Bessel function $$\mathbf{j}_0(x)$$	7

Jacobi inversion and solutions of Hitchin systems	7
Gibbs measures for the Potts model with a countable set of spin values on a Cayley tree	7
Transport solutions for biquaternion generalizations of Dirac and Maxwell equations at subluminal speeds and their properties	7
Stability of a stationary solution of a system of activator–inhibitor-type equations with a double-scale internal transition layer	7
Review of exact solutions and reductions of Monge–Ampère type equations	7
Some new methods for studying boundary value problems for general partial differential equations	6
Symmetries of the multicomponent $$q$$-KP hierarchy on a Grassmannian	6
Recent progress in the theory of functions of several complex variables and complex geometry	6
Asymptotic solutions of the quantum scattering problem for binary collisions in a system of three charged particles. The inclusion of the dipole interaction	6
On alleged solutions of the cubically nonlinear Schrödinger equation	6
On the properties of solutions of a system of two nonlinear differential equations associated with the Josephson model	6
Multidimensional Zaremba problem for the $$p(\,\cdot\,)$$-Laplace equation. A Boyarsky–Meyers estimate	6
Evolution of plane perturbations in the cosmological environment of the Higgs scalar field and an ideal scalar-charged fluid	6
Universality of stochastic Laplacian growth	6
Approximate analytic solution of the Logunov–Tavkhelidze equation for a one-dimensional oscillator potential in the relativistic configuration representation	6
Derivative forms of the three-component nonlinear Schrödinger equation and their simplest solutions	6
A new solvable two-matrix model and the BKP tau function	6
On the unique solvability of the div–curl problem in unbounded domains and energy estimates of solutions	6
Fractional multiple trapping model of time-of-flight transient photocurrents in amorphous semiconductors	6
Energy–momentum tensor of a causally disconnected region of the Universe, the cosmological constant, and the inflationary model	6
Breather, rogue wave, lump, and interaction solutions of the $$(2+1)$$-dimensional generalized nonlocal Mel’nikov system	5
Complex energies and the Lambert $$W$$ function	5
Fermionic fields in a four-dimensional $$\Lambda$$ Bonnor–Melvin space–time	5
The description of generalized translation-invariant $$p$$-adic Gibbs measures for the Potts model on the Cayley tree of order three	5
Entanglement entropy of a near-extremal black hole	5
Green–Kubo formula for electrical conductivity of a driven $$0$$–$$\pi$$ qubit	5
Stationary thermal front in the problem of reconstructing the semiconductor thermal conductivity coefficient using simulation data	5
Magnetohydrodynamic unsteady rotating Casson fluid flow with Hall and ion-slip impacts	5
Néel temperature of a quasi-two-dimensional triangular-lattice antiferromagnet	5
On Dirichlet problem	5
Bose gas modeling of the Schwarzschild black hole thermodynamics	5
The structure of quantum corrections and exact results in supersymmetric theories from the higher covariant derivative regularization	5
Dynamics of a three species syn-ecological ammensalsim model: A stochastic approach	5
Study of a flat universe using the FRW model	5
Superstatistical properties of the Dirac oscillator with gamma, lognormal, and F distributions	5
Discrete symmetries of integrable differential equations	5
Rogue waves of the $$(2+1)$$-dimensional integrable reverse space–time nonlocal Schrödinger equation	5
Gateway-like absurdly benign traversable wormhole solutions	5
Constrained discrete KP hierarchy: The constraint on the tau functions and gauge transformations	5
Superpositions of coherent states determined by Gauss sums	4
Investigation of the transition to instability of the water boiling front during injection into a geothermal reservoir	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
On the Hirota equation with a self-consistent source	4
Study of small perturbations of a stationary state in a model of upper hybrid plasma oscillations	4
Second-order quantum argument shifts in $$Ugl_d$$	4
Analytical properties of solutions to nonlinear systems of differential equations associated with some random matrix type models	4
Two-species reaction–diffusion system in the presence of random velocity fluctuations	4
Stabilization of the front in a medium with discontinuous characteristics	4
Tau functions of the UC hierarchy as partition functions of matrix models	4
Lotka–Volterra model with mutations and generative adversarial networks	4

Three-electron first doublet in the impurity Hubbard model	4
Infinitely many rotating periodic solutions for damped vibration systems	4
Analytical properties of the spectral problem for the internal gravity waves equation with shear flows under critical wave generation modes	4
On the $$k$$th higher Nash blow-up derivation Lie algebras of isolated hypersurface singularities	4
Hamiltonian mapping and quantum perturbation equations in the point matter black hole and noncommutative black hole models	4
Noether charge, thermodynamics and phase transition of a black hole in the Schwarzschild– anti-de Sitter–Beltrami spacetime	4
Nonabelian fermionic T-duality for the fundamental string	4
Higher spins in harmonic superspace	4
Nonlocal abstract Ginzburg–Landau-type equations and applications	4
Euler’s difference table and the decomposition of tensor powers of the adjoint representation of the $$A_n$$ Lie algebra	4
Strong decays of the charmonium-like state $$Y(4230)$$ and radiative transitions of low-lying charmoniums	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
Influence of quark–gluon string interactions on particle correlations in p+p collisions	4
Modular-type nonlinearity in the modeling of tumor spheroid growth	4
Generalized uncertainty relations, particles, black holes, and Casimir effect in the three-dimensional quantum vacuum	4
Quasi-Grammian soliton and kink dynamics of an $$M$$-component semidiscrete coupled integrable system	4
Nonlinearity in the inverse problems of orbital dynamics using the example of potentially hazardous asteroids and outer satellites of Jupiter	4
Solutions of the analogues of time-dependent Schrödinger equations corresponding to a pair of $$H^{3+2}$$ Hamiltonian systems	4
The $$\pm J$$ distribution in the mixed spin-$$1/2$$ and $$5/2$$ Blume–Capel model	4
Cauchy problem for a nonlinear Schrödinger equation with a large initial gradient in the weakly dispersive limit	4
Algebraic structures behind the Yang–Baxterization process	4
Existence and stability of a stable stationary solution with a boundary layer for a system of reaction–diffusion equations with Neumann boundary conditions	4
Using the Kantorovich–Galerkin approach to analyze the resonant characteristics of damped systems	4
On solutions of matrix soliton equations	4
On symmetries of the nonstationary $$\mathrm{P}_\mathrm{II}^{(n)}$$ hierarchy and their applications	4
Hamiltonian dynamics of a spaceship in Alcubierre and Gödel metrics: Recursion operators and underlying master symmetries	4
Lie group geometry: Riemann and Ricci tensors and normal forms of Lie algebras	3
On Poincaré–Birkhoff–Witt basis of the quantum general linear superalgebra	3
Periodic Gibbs measures for the three-state SOS model on a Cayley tree with a translation-invariant external field	3
Accelerating barotropic fluid cosmological model in $$f(R,T)$$ gravity	3
Cycles with the embedded bursting effect in a circle of neural oscillators	3
Duffin–Kemmer–Petiau oscillator in topologically charged Ellis–Bronnikov-type wormhole	3
On an alternative stratification of knots	3
Lie algebraic approach to the Hellmann Hamiltonian by considering perturbation method	3
Bernoulli shifts in predator–prey mappings	3
A new stability equation for the Abelian Higgs–Kibble model with a dimension-6 derivative operator	3
Butterfly velocity and chaos suppression in de Sitter space	3
Nonlocality, integrability, and solitons	3
$$n$$-valued quandles and associated bialgebras	3
Hall current and thermal diffusion effects on an unsteady MHD free convection flow of non-Newtonian fluid	3
Einstein–dilaton-four–Maxwell holographic anisotropic models	3
Black brane/Bose gas duality and the third law of thermodynamics	3
Solution of the fractional Liouville equation by using Riemann–Liouville and Caputo derivatives in statistical mechanics	3
Rational solutions of nonautonomous quadrilateral equations by the bilinearization of Bäcklund transformation systems	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
Exact smooth and nonsmooth solutions for integro-partial differential equations by rapidly convergent approximation method	3
A coupled mathematical model for wind and sand dynamics	3
Dynamical description of the phase transition to the superconducting state	3
On partially hyperbolic symplectic automorphisms of a 6-torus	3
Set-theoretical solutions of the Zamolodchikov tetrahedron equation on associative rings and Liouville integrability	3
Cauchy matrix approach to the noncommutative Kadomtsev–Petviashvili equation with self-consistent sources	3
Similarity of cosmological models and its application to the analysis of cosmological evolution	3
Implicit quiescent solitons in optical metamaterials with an array of self-phase modulation structures by Lie symmetry	3
On the geometric anatomy of a nonwandering continuum possessing the Wada property	3
Hybrid FEM-neural network approach to radiative slip flow of TiO$$_2$$–SiO$$_2$$ nanofluid over stretching surfaces	3
Magnetohydrodynamic flow through a porous medium in a coaxial circular duct	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
Unitary representation of walks along random vector fields and the Kolmogorov–Fokker–Planck equation in a Hilbert space	3
Periodic solutions of a differential equation with a discontinuous delayed neutral-type feedback	3
Self-gravitating Higgs field of scalar charge	3
Composite operators of stochastic model A	3
Direct sampling method for the inverse elastic wave scattering problem	3
Application of the trigonal curve to a hierarchy of generalized Toda lattices	3
Minimal algebraic solutions of the sixth Painlevé equation	3
On the uniqueness problem for a central invariant manifold	3