OOIR: Observatory of International Research

Papers

(The TQCC of Studies in Applied Mathematics is 4. 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 2021-07-01 to 2025-07-01.)

Article	Citations
	68
Asymptotic Properties of Special Function Solutions of the Painlevé III Equation for Fixed Parameters	54
	51
Well‐posedness of generalized KdV and one‐dimensional fourth‐order derivative nonlinear Schrödinger equations for data with an infinite L² norm	39
Three‐dimensional elastic beam frames: Rigid joint conditions in variational and differential formulation	38
Large‐time asymptotics to the focusing nonlocal modified Kortweg‐de Vries equation with step‐like boundary conditions	32
Riemann–Hilbert method to the Ablowitz–Ladik equation: Higher‐order cases	32
	26
Inverse scattering transform for the two‐component Gerdjikov–Ivanov equation with nonzero boundary conditions: Dark‐dark solitons	25
Issue Information‐TOC	24
Solving a Singular Limit Problem Arising With Euler–Korteweg Dispersive Waves	24
Issue Information‐TOC	24
Global dynamics of a two‐stage structured diffusive population model in time‐periodic and spatially heterogeneous environments	23
Asymptotic spatial behavior for the heat equation on noncompact regions	23
Invariant Manifolds in a Class‐Structured Model From Adaptive Dynamics	22
The multi elliptic‐localized solutions and their asymptotic behaviors for the mKdV equation	21
Asymptotics of polynomials orthogonal with respect to a generalized Freud weight with application to special function solutions of Painlevé‐IV	21
A boundary layer problem in nonflat domains with measurable viscous coefficients	20
Revivals, or the Talbot effect, for the Airy equation	19
Properties of given and detected unbounded solutions to a class of chemotaxis models	19
From primary HPV infection to carcinoma in situ: A mathematical approach to cervical intraepithelial neoplasia	18
Higher‐order integrable models for oceanic internal wave–current interactions	16
Issue Information‐TOC	16
Issue Information‐TOC	15
Initial boundary value problem for a class of wave equations of Hartree type	14

Hamiltonian mechanics of “magnetic” solitons in two‐component Bose–Einstein condensates	14
Some exact and approximate solutions to a generalized Maxwell–Cattaneo equation	13
Breather solutions for a quasi‐linear ‐dimensional wave equation	13
Exotic wave patterns in Riemann problem of the high‐order Jaulent–Miodek equation: Whitham modulation theory	13
Mass and spring dimer Fermi–Pasta–Ulam–Tsingou nanopterons with exponentially small, nonvanishing ripples	13
Hyperbolicity study of the modulation equations for the Benjamin–Bona–Mahony equation	13
General boundary conditions for a Boussinesq model with varying bathymetry	12
Inversion formula for an integral geometry problem over surfaces of revolution	12
Weak Solutions and Simulations for a Generalized Phase‐Field Crystal Model With Neumann Boundary Conditions	12
Riemann problem for isentropic magnetogasdynamics in a variable cross‐section duct	11
Modal decompositions and point scatterer approximations near the Minnaert resonance frequencies	11
The KP limit of a reduced quantum Euler–Poisson equation	11
Efficient numerical solution of one‐phase linear inverse Stefan and Cauchy–Stefan problems in two dimensions: A posteriori error control	10
Turing bifurcation in activator–inhibitor (depletion) models with cross‐diffusion and nonlocal terms	10
Linear integral equations and two‐dimensional Toda systems	9
	9
Issue Information‐TOC	9
Rigorous justification of the Whitham modulation equations for equations of Whitham type	9
Transverse spectral instabilities in Konopelchenko–Dubrovsky equation	9
Cauchy matrix approach to the SU(2) self‐dual Yang–Mills equation	8
Spectral and linear stability of peakons in the Novikov equation	8
An analytical and numerical study of the Diaz–Solovchuk–Sheu acoustic model: How does it compare with Blackstock's in approximating the Euler system?	8
The Riemann Problem for the Flow Pattern in Deviated Pipes Carrying Isentropic Two‐Phase Flows	8
Traveling capillary waves on the boundary of a fluid disc	7
	7
Evolution of Dispersal in Open Advective Patchy Environments	7
Dynamics for a Diffusive Epidemic Model With a Free Boundary: Spreading Speed	7
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The degenerate hyperbolic problem for the two‐dimensional nonlinear wave system	7
Existence of solutions to gas expansion problem through a sharp corner for 2‐D Euler equations with general equation of state	7
Oscillatory and regularized shock waves for a modified Serre–Green–Naghdi system	7
Traveling Viral Waves for a Spatial May–Nowak Model with Hybrid Local and Nonlocal Dispersal	7
Instability of near‐extreme solutions to the Whitham equation	7
Spatiotemporal dynamics in a twisted, circular waveguide array	6
Stationary coupled KdV systems and their Stäckel representations	6
Issue Information‐TOC	6
Kirillov structures and reduction of Hamiltonian systems by scaling and standard symmetries	6
A stochastic model for malaria and its behavior under insecticide‐treated nets	6
Preface: Integrable systems and their applications, celebrating the 70th birthday of Athanassios S. Fokas	6
Exceptional Hahn and Jacobi polynomials with an arbitrary number of continuous parameters	6
Stokes flow solutions in infinite and semi‐infinite porous channels	6
	6
Nonintegrability of the Painlevé IV equation in the Liouville–Arnold sense and Stokes phenomena	6
Analytic shock‐fronted solutions to a reaction–diffusion equation with negative diffusivity	6
One class of MHD equations: Conservation laws and exact solutions	6
Issue Information‐TOC	6
Planar Schrödinger–Poisson system with exponential critical growth: Local well‐posedness and standing waves with prescribed mass	6
Issue Information‐TOC	6
Tau‐function formulation for bright, dark soliton and breather solutions to the massive Thirring model	5
	5

Spatial Movement With Explicit Memory and Nonlocal Pregnancy Delay	5
Traveling waves, blow‐up, and extinction in the Fisher–Stefan model	5
Orthogonal polynomials on a class of planar algebraic curves	5
Spatiotemporal dynamics of a diffusive consumer‐resource model with explicit spatial memory	5
Asymptotic profiles of a spatial vector‐borne disease model with Fokker–Planck‐type diffusion	5
Multisoliton interactions approximating the dynamics of breather solutions	5
Asymptotics of the deformed Fredholm determinant of the confluent hypergeometric kernel	5
The Darboux Matrices With a Single Multiple Pole and Their Applications	5
Roughness‐induced effects on the thermomicropolar fluid flow through a thin domain	5
Perturbed conformal invariance and Mei adiabatic invariants of the generalized perturbed Hamiltonian systems with additional terms	5
Higher dimensional generalization of the Benjamin‐Ono equation: 2D case	5
Emergence of Well‐Ordering and Clustering for a First‐Order Nonlinear Consensus Model	5
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Consensus‐based sampling	5
The Maximal Lyapunov Exponent of a Stochastic Bautin Bifurcation System	5
Matrix‐Valued Cauchy Bi‐Orthogonal Polynomials and a Novel Noncommutative Integrable Lattice	5
Hydrodynamics of a discrete conservation law	5
N Double‐Pole Solutions of the Matrix‐Type Nonlinear Schrödinger Equation Under Zero and Nonzero Boundary Conditions	4
Riemann problems for generalized gas dynamics	4
	4
N$N$‐Soliton Matrix mKdV Solutions: Some Special Solutions Revisited	4
Degenerate Cauchy–Goursat problem for 2‐D steady isentropic Euler system with van der Waals gas	4
Nonlinearizable solutions in an eigenvalue problem for Maxwell's equations with nonhomogeneous nonlinear permittivity in a layer	4
On nonstandard chemotactic dynamics with logistic growth induced by a modified complex Ginzburg–Landau equation	4
Exponentially localized interface eigenmodes in finite chains of resonators	4
On the emergent behavior of the swarming models on the complex sphere	4
Numerical Approaches in Nonlinear Fourier Transform‐Based Signal Processing for Telecommunications	4
Dynamics Analysis for Diffusive Resource‐Consumer Model With Nonlocal Discrete Memory	4
Forest fire spreading: A nonlinear stochastic model continuous in space and time	4
Spectral Jacobi approximations for Boussinesq systems	4
Soliton Solutions Associated With a Class of Third‐Order Ordinary Linear Differential Operators	4
Landscape of wave focusing and localization at low frequencies	4
A free boundary problem with resource‐dependent motility in a weak heterogeneous environment	4
Issue Information‐TOC	4
Soliton interactions and Yang–Baxter maps for the complex coupled short‐pulse equation	4
A modern concept of Lagrangian hydrodynamics	4
A Lagrangian for Compressible Flow Focusing on Dissipation due to Thermal Conduction	4
In Search of Rogue Waves: A Novel Proposal Distribution for Parallelized Rejection Sampling of the Truncated KdV Gibbs Measure	4
Complete classification of local conservation laws for generalized Cahn–Hilliard–Kuramoto–Sivashinsky equation	4
Multiple orthogonal polynomials associated with the exponential integral	4
Laguerre–Freud equations for three families of hypergeometric discrete orthogonal polynomials	4
Nonconstant steady states and pattern formations of generalized 1D cross‐diffusion systems with prey‐taxis	4
A Theory of Generalized Coordinates for Stochastic Differential Equations	4
Issue Information‐TOC	4
Classical Multiple Orthogonal Polynomials for Arbitrary Number of Weights and Their Explicit Representation	4
Dynamics of 2D fluid in bounded domain via conformal variables	4