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 2021-08-01 to 2025-08-01.)

Article	Citations
	71
	52
Well‐posedness of generalized KdV and one‐dimensional fourth‐order derivative nonlinear Schrödinger equations for data with an infinite L² norm	41
Three‐dimensional elastic beam frames: Rigid joint conditions in variational and differential formulation	39
Large‐time asymptotics to the focusing nonlocal modified Kortweg‐de Vries equation with step‐like boundary conditions	33
Riemann–Hilbert method to the Ablowitz–Ladik equation: Higher‐order cases	32
Asymptotic Properties of Special Function Solutions of the Painlevé III Equation for Fixed Parameters	29
Inverse scattering transform for the two‐component Gerdjikov–Ivanov equation with nonzero boundary conditions: Dark‐dark solitons	27
	27
Asymptotic spatial behavior for the heat equation on noncompact regions	25
Issue Information‐TOC	25
Issue Information‐TOC	25
The multi elliptic‐localized solutions and their asymptotic behaviors for the mKdV equation	24
A boundary layer problem in nonflat domains with measurable viscous coefficients	23
Properties of given and detected unbounded solutions to a class of chemotaxis models	23
Solving a Singular Limit Problem Arising With Euler–Korteweg Dispersive Waves	22
Global dynamics of a two‐stage structured diffusive population model in time‐periodic and spatially heterogeneous environments	21
Invariant Manifolds in a Class‐Structured Model From Adaptive Dynamics	20
Higher‐order integrable models for oceanic internal wave–current interactions	20
Asymptotics of polynomials orthogonal with respect to a generalized Freud weight with application to special function solutions of Painlevé‐IV	19
Issue Information‐TOC	17
Revivals, or the Talbot effect, for the Airy equation	16
From primary HPV infection to carcinoma in situ: A mathematical approach to cervical intraepithelial neoplasia	16
Issue Information‐TOC	15
Mass and spring dimer Fermi–Pasta–Ulam–Tsingou nanopterons with exponentially small, nonvanishing ripples	14

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

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