OOIR: Observatory of International Research

Papers

(The TQCC of Studies in Applied Mathematics 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 2021-09-01 to 2025-09-01.)

Article	Citations
	72
	53
Well‐posedness of generalized KdV and one‐dimensional fourth‐order derivative nonlinear Schrödinger equations for data with an infinite L² norm	42
Three‐dimensional elastic beam frames: Rigid joint conditions in variational and differential formulation	39
Asymptotic Properties of Special Function Solutions of the Painlevé III Equation for Fixed Parameters	33
Riemann–Hilbert method to the Ablowitz–Ladik equation: Higher‐order cases	33
Global Dynamics of a Partially Degenerate Nonlocal Model for Mosquito‐Borne Disease Transmission	31
A New Transformation for the Subcritical Fast Diffusion Equation With Source and Applications	28
Large‐time asymptotics to the focusing nonlocal modified Kortweg‐de Vries equation with step‐like boundary conditions	27
	27
Issue Information‐TOC	26
Issue Information‐TOC	25
A boundary layer problem in nonflat domains with measurable viscous coefficients	24
Asymptotic spatial behavior for the heat equation on noncompact regions	24
Properties of given and detected unbounded solutions to a class of chemotaxis models	23
Invariant Manifolds in a Class‐Structured Model From Adaptive Dynamics	21
Asymptotics of polynomials orthogonal with respect to a generalized Freud weight with application to special function solutions of Painlevé‐IV	21
Issue Information‐TOC	21
From primary HPV infection to carcinoma in situ: A mathematical approach to cervical intraepithelial neoplasia	20
Revivals, or the Talbot effect, for the Airy equation	19
Higher‐order integrable models for oceanic internal wave–current interactions	18
Solving a Singular Limit Problem Arising With Euler–Korteweg Dispersive Waves	16
Inverse scattering transform for the two‐component Gerdjikov–Ivanov equation with nonzero boundary conditions: Dark‐dark solitons	15
General boundary conditions for a Boussinesq model with varying bathymetry	15
The multi elliptic‐localized solutions and their asymptotic behaviors for the mKdV equation	15

Global dynamics of a two‐stage structured diffusive population model in time‐periodic and spatially heterogeneous environments	15
Mass and spring dimer Fermi–Pasta–Ulam–Tsingou nanopterons with exponentially small, nonvanishing ripples	14
Turing bifurcation in activator–inhibitor (depletion) models with cross‐diffusion and nonlocal terms	14
Weak Solutions and Simulations for a Generalized Phase‐Field Crystal Model With Neumann Boundary Conditions	14
Some exact and approximate solutions to a generalized Maxwell–Cattaneo equation	13
Initial boundary value problem for a class of wave equations of Hartree type	12
Breather solutions for a quasi‐linear ‐dimensional wave equation	12
Hyperbolicity study of the modulation equations for the Benjamin–Bona–Mahony equation	12
Modal decompositions and point scatterer approximations near the Minnaert resonance frequencies	10
Inversion formula for an integral geometry problem over surfaces of revolution	10
Exotic wave patterns in Riemann problem of the high‐order Jaulent–Miodek equation: Whitham modulation theory	9
Riemann problem for isentropic magnetogasdynamics in a variable cross‐section duct	9
The KP limit of a reduced quantum Euler–Poisson equation	9
Spectral and linear stability of peakons in the Novikov equation	8
Issue Information‐TOC	8
Preface: Modeling Wave Propagation: Mathematical Theory and Numerical Analysis, in Memory of Prof. Vassilios Dougalis	8
	8
Efficient numerical solution of one‐phase linear inverse Stefan and Cauchy–Stefan problems in two dimensions: A posteriori error control	8
Oscillatory and regularized shock waves for a modified Serre–Green–Naghdi system	8
Rigorous justification of the Whitham modulation equations for equations of Whitham type	8
Hamiltonian mechanics of “magnetic” solitons in two‐component Bose–Einstein condensates	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?	7
Transverse spectral instabilities in Konopelchenko–Dubrovsky equation	7
	7
The Riemann Problem for the Flow Pattern in Deviated Pipes Carrying Isentropic Two‐Phase Flows	7
	7
Dynamics for a Diffusive Epidemic Model With a Free Boundary: Spreading Speed	7
Cauchy matrix approach to the SU(2) self‐dual Yang–Mills equation	7
Existence of solutions to gas expansion problem through a sharp corner for 2‐D Euler equations with general equation of state	7
The degenerate hyperbolic problem for the two‐dimensional nonlinear wave system	6
Traveling Viral Waves for a Spatial May–Nowak Model with Hybrid Local and Nonlocal Dispersal	6
Stokes flow solutions in infinite and semi‐infinite porous channels	6
Stationary coupled KdV systems and their Stäckel representations	6
One class of MHD equations: Conservation laws and exact solutions	6
Analytic shock‐fronted solutions to a reaction–diffusion equation with negative diffusivity	6
Issue Information‐TOC	6
Spatiotemporal dynamics in a twisted, circular waveguide array	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
Evolution of Dispersal in Open Advective Patchy Environments	6
Exceptional Hahn and Jacobi polynomials with an arbitrary number of continuous parameters	6
Instability of near‐extreme solutions to the Whitham equation	6
Orthogonal polynomials on a class of planar algebraic curves	5
Matrix‐Valued Cauchy Bi‐Orthogonal Polynomials and a Novel Noncommutative Integrable Lattice	5
Asymptotics of the deformed Fredholm determinant of the confluent hypergeometric kernel	5
Roughness‐induced effects on the thermomicropolar fluid flow through a thin domain	5
	5
Hydrodynamics of a discrete conservation law	5
	5
Nonintegrability of the Painlevé IV equation in the Liouville–Arnold sense and Stokes phenomena	5

The Darboux Matrices With a Single Multiple Pole and Their Applications	5
Planar Schrödinger–Poisson system with exponential critical growth: Local well‐posedness and standing waves with prescribed mass	5
Consensus‐based sampling	5
Higher dimensional generalization of the Benjamin‐Ono equation: 2D case	5
Perturbed conformal invariance and Mei adiabatic invariants of the generalized perturbed Hamiltonian systems with additional terms	5
Tau‐function formulation for bright, dark soliton and breather solutions to the massive Thirring model	5
Issue Information‐TOC	5
Kirillov structures and reduction of Hamiltonian systems by scaling and standard symmetries	5
Spatial Movement With Explicit Memory and Nonlocal Pregnancy Delay	5
Multisoliton interactions approximating the dynamics of breather solutions	5
Asymptotic profiles of a spatial vector‐borne disease model with Fokker–Planck‐type diffusion	5
Traveling waves, blow‐up, and extinction in the Fisher–Stefan model	5
	5
Issue Information‐TOC	5
A Theory of Generalized Coordinates for Stochastic Differential Equations	4
N$N$‐Soliton Matrix mKdV Solutions: Some Special Solutions Revisited	4
Complete classification of local conservation laws for generalized Cahn–Hilliard–Kuramoto–Sivashinsky equation	4
Nonlinearizable solutions in an eigenvalue problem for Maxwell's equations with nonhomogeneous nonlinear permittivity in a layer	4
A Lagrangian for Compressible Flow Focusing on Dissipation due to Thermal Conduction	4
Soliton interactions and Yang–Baxter maps for the complex coupled short‐pulse equation	4
Emergence of Well‐Ordering and Clustering for a First‐Order Nonlinear Consensus Model	4
	4
Issue Information‐TOC	4
Soliton Solutions Associated With a Class of Third‐Order Ordinary Linear Differential Operators	4
On the emergent behavior of the swarming models on the complex sphere	4
Issue Information‐TOC	4
Dynamics of 2D fluid in bounded domain via conformal variables	4
Classical Multiple Orthogonal Polynomials for Arbitrary Number of Weights and Their Explicit Representation	4
Exponentially localized interface eigenmodes in finite chains of resonators	4
N Double‐Pole Solutions of the Matrix‐Type Nonlinear Schrödinger Equation Under Zero and Nonzero Boundary Conditions	4
In Search of Rogue Waves: A Novel Proposal Distribution for Parallelized Rejection Sampling of the Truncated KdV Gibbs Measure	4
Forest fire spreading: A nonlinear stochastic model continuous in space and time	4
Multiple orthogonal polynomials associated with the exponential integral	4
Riemann problems for generalized gas dynamics	4
Degenerate Cauchy–Goursat problem for 2‐D steady isentropic Euler system with van der Waals gas	4
Numerical Approaches in Nonlinear Fourier Transform‐Based Signal Processing for Telecommunications	4
A modern concept of Lagrangian hydrodynamics	4
Spatiotemporal dynamics of a diffusive consumer‐resource model with explicit spatial memory	4
The Maximal Lyapunov Exponent of a Stochastic Bautin Bifurcation System	4
On a Bistable Delayed Nonlinear Reaction–Diffusion Equation for a Two‐Phase Free Boundary: Semi‐Wave and Its Numerical Simulation	3
A free boundary problem with resource‐dependent motility in a weak heterogeneous environment	3
Dynamics Analysis for Diffusive Resource‐Consumer Model With Nonlocal Discrete Memory	3
Analytical and numerical solutions for the boundary layer flow and heat transfer over a moving wedge in Casson fluid	3
Determinantal approach to multiple orthogonal polynomials and the corresponding integrable equations	3
Numerical study of the Amick–Schonbek system	3
Elastodynamical resonances and cloaking of negative material structures beyond quasistatic approximation	3
Nonconstant steady states and pattern formations of generalized 1D cross‐diffusion systems with prey‐taxis	3
Affine Solutions to the Compressible Euler Equations With Time‐Dependent Damping and Free Boundary	3
Laguerre–Freud equations for three families of hypergeometric discrete orthogonal polynomials	3
	3
Multidomain spectral approach to rational‐order fractional derivatives	3
Concentric‐Ring Patterns of Higher‐Order Lumps in the Kadomtsev–Petviashvili I Equation	3
Predator–prey systems with a variable habitat for predators in advective environments	3
Subharmonic dynamics of wave trains in the Korteweg‐de Vries/Kuramoto‐Sivashinsky equation	3
Random dynamics and limiting behaviors for 3D globally modified Navier–Stokes equations driven by colored noise	3
Large x$x$ Asymptotics of the Soliton Gas for the Nonlinear Schrödinger Equation	3
Landscape of wave focusing and localization at low frequencies	3
Spectral analysis of a viscoelastic tube conveying fluid with generalized boundary conditions	3
Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation	3
Pullback Attractors for Nonclassical Diffusion Equations With a Delay Operator	3
Spectral Jacobi approximations for Boussinesq systems	3
Impact of mixed boundary conditions and nonsmooth data on layer‐originated nonpremixed combustion problems: Higher‐order convergence analysis	3
	3