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 2021-11-01 to 2025-11-01.)

Article	Citations
	41
Three‐dimensional elastic beam frames: Rigid joint conditions in variational and differential formulation	38
Asymptotic Properties of Special Function Solutions of the Painlevé III Equation for Fixed Parameters	34
Riemann–Hilbert method to the Ablowitz–Ladik equation: Higher‐order cases	34
	32
Well‐posedness of generalized KdV and one‐dimensional fourth‐order derivative nonlinear Schrödinger equations for data with an infinite L² norm	28
Large‐time asymptotics to the focusing nonlocal modified Kortweg‐de Vries equation with step‐like boundary conditions	26
A New Transformation for the Subcritical Fast Diffusion Equation With Source and Applications	26
Global Dynamics of a Partially Degenerate Nonlocal Model for Mosquito‐Borne Disease Transmission	26
Issue Information‐TOC	24
A boundary layer problem in nonflat domains with measurable viscous coefficients	22
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Properties of given and detected unbounded solutions to a class of chemotaxis models	20
Asymptotics of polynomials orthogonal with respect to a generalized Freud weight with application to special function solutions of Painlevé‐IV	20
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Asymptotic spatial behavior for the heat equation on noncompact regions	19
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Revivals, or the Talbot effect, for the Airy equation	18
Exact Periodic Solutions of the Generalized Constantin–Lax–Majda Equation With Dissipation	18
Higher‐order integrable models for oceanic internal wave–current interactions	18
From primary HPV infection to carcinoma in situ: A mathematical approach to cervical intraepithelial neoplasia	16
Inverse scattering transform for the two‐component Gerdjikov–Ivanov equation with nonzero boundary conditions: Dark‐dark solitons	15
Invariant Manifolds in a Class‐Structured Model From Adaptive Dynamics	14
Solving a Singular Limit Problem Arising With Euler–Korteweg Dispersive Waves	13
The multi elliptic‐localized solutions and their asymptotic behaviors for the mKdV equation	13

Global dynamics of a two‐stage structured diffusive population model in time‐periodic and spatially heterogeneous environments	12
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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
The KP limit of a reduced quantum Euler–Poisson equation	10
Turing bifurcation in activator–inhibitor (depletion) models with cross‐diffusion and nonlocal terms	10
Some exact and approximate solutions to a generalized Maxwell–Cattaneo equation	10
Hamiltonian mechanics of “magnetic” solitons in two‐component Bose–Einstein condensates	9
Riemann problem for isentropic magnetogasdynamics in a variable cross‐section duct	9
Modal decompositions and point scatterer approximations near the Minnaert resonance frequencies	9
Hyperbolicity study of the modulation equations for the Benjamin–Bona–Mahony equation	9
Initial boundary value problem for a class of wave equations of Hartree type	9
Inversion formula for an integral geometry problem over surfaces of revolution	9
Mass and spring dimer Fermi–Pasta–Ulam–Tsingou nanopterons with exponentially small, nonvanishing ripples	8
Issue Information‐TOC	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
Exotic wave patterns in Riemann problem of the high‐order Jaulent–Miodek equation: Whitham modulation theory	8
Spectral and linear stability of peakons in the Novikov equation	8
The Riemann Problem for the Flow Pattern in Deviated Pipes Carrying Isentropic Two‐Phase Flows	8
Efficient numerical solution of one‐phase linear inverse Stefan and Cauchy–Stefan problems in two dimensions: A posteriori error control	8
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Preface: Modeling Wave Propagation: Mathematical Theory and Numerical Analysis, in Memory of Prof. Vassilios Dougalis	8
Dynamics for a Diffusive Epidemic Model With a Free Boundary: Spreading Speed	7
Rigorous justification of the Whitham modulation equations for equations of Whitham type	7
	7
Transverse spectral instabilities in Konopelchenko–Dubrovsky equation	7
Spatiotemporal Dynamics of a Delayed Diffusive Single‐Species Model in Closed Advective Environments	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
Cauchy matrix approach to the SU(2) self‐dual Yang–Mills equation	7
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Stokes flow solutions in infinite and semi‐infinite porous channels	6
Instability of near‐extreme solutions to the Whitham equation	6
	6
Stationary coupled KdV systems and their Stäckel representations	6
Analytic shock‐fronted solutions to a reaction–diffusion equation with negative diffusivity	6
Spatiotemporal dynamics in a twisted, circular waveguide array	6
Traveling Viral Waves for a Spatial May–Nowak Model with Hybrid Local and Nonlocal Dispersal	6
One class of MHD equations: Conservation laws and exact solutions	6
The degenerate hyperbolic problem for the two‐dimensional nonlinear wave system	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
A stochastic model for malaria and its behavior under insecticide‐treated nets	5
Multisoliton interactions approximating the dynamics of breather solutions	5
Asymptotics of the deformed Fredholm determinant of the confluent hypergeometric kernel	5
Consensus‐based sampling	5
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The Darboux Matrices With a Single Multiple Pole and Their Applications	5

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Tau‐function formulation for bright, dark soliton and breather solutions to the massive Thirring model	5
Perturbed conformal invariance and Mei adiabatic invariants of the generalized perturbed Hamiltonian systems with additional terms	5
Spatial Movement With Explicit Memory and Nonlocal Pregnancy Delay	5
Traveling waves, blow‐up, and extinction in the Fisher–Stefan model	5
Nonintegrability of the Painlevé IV equation in the Liouville–Arnold sense and Stokes phenomena	5
Orthogonal polynomials on a class of planar algebraic curves	5
Kirillov structures and reduction of Hamiltonian systems by scaling and standard symmetries	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
A Lagrangian for Compressible Flow Focusing on Dissipation due to Thermal Conduction	4
Numerical Approaches in Nonlinear Fourier Transform‐Based Signal Processing for Telecommunications	4
Classical Multiple Orthogonal Polynomials for Arbitrary Number of Weights and Their Explicit Representation	4
A modern concept of Lagrangian hydrodynamics	4
Hydrodynamics of a discrete conservation law	4
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The Maximal Lyapunov Exponent of a Stochastic Bautin Bifurcation System	4
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An Effective Level Set Method With Molecular Beam Epitaxy Regularization for Color‐Texture Image Segmentation	4
In Search of Rogue Waves: A Novel Proposal Distribution for Parallelized Rejection Sampling of the Truncated KdV Gibbs Measure	4
Soliton interactions and Yang–Baxter maps for the complex coupled short‐pulse equation	4
Asymptotic profiles of a spatial vector‐borne disease model with Fokker–Planck‐type diffusion	4
Roughness‐induced effects on the thermomicropolar fluid flow through a thin domain	4
Singularities in Steady Axisymmetric Euler Flows With Swirl	4
On the emergent behavior of the swarming models on the complex sphere	4
Exponentially localized interface eigenmodes in finite chains of resonators	4
Trigonometric Krätzel Functions: Properties, Integral Transforms, and Applications in Diffraction Phenomena	4
Emergence of Well‐Ordering and Clustering for a First‐Order Nonlinear Consensus Model	4
N Double‐Pole Solutions of the Matrix‐Type Nonlinear Schrödinger Equation Under Zero and Nonzero Boundary Conditions	4
Large‐Time Existence and Decay of Entropy Solutions for Unsteady Isentropic Gas Flow in the Quasi‐One‐Dimensional Nozzle	4
Dynamics of 2D fluid in bounded domain via conformal variables	4
Landscape of wave focusing and localization at low frequencies	3
Multidomain spectral approach to rational‐order fractional derivatives	3
On a Bistable Delayed Nonlinear Reaction–Diffusion Equation for a Two‐Phase Free Boundary: Semi‐Wave and Its Numerical Simulation	3
Analytical and numerical solutions for the boundary layer flow and heat transfer over a moving wedge in Casson fluid	3
Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation	3
Subharmonic dynamics of wave trains in the Korteweg‐de Vries/Kuramoto‐Sivashinsky equation	3
Laguerre–Freud equations for three families of hypergeometric discrete orthogonal polynomials	3
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A Theory of Generalized Coordinates for Stochastic Differential Equations	3
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Multiple orthogonal polynomials associated with the exponential integral	3
Degenerate Cauchy–Goursat problem for 2‐D steady isentropic Euler system with van der Waals gas	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
Numerical study of the Amick–Schonbek system	3
	3
Spectral analysis of a viscoelastic tube conveying fluid with generalized boundary conditions	3
Dynamics Analysis for Diffusive Resource‐Consumer Model With Nonlocal Discrete Memory	3
Spectral Jacobi approximations for Boussinesq systems	3
Soliton Solutions Associated With a Class of Third‐Order Ordinary Linear Differential Operators	3
N$N$‐Soliton Matrix mKdV Solutions: Some Special Solutions Revisited	3
Complete classification of local conservation laws for generalized Cahn–Hilliard–Kuramoto–Sivashinsky equation	3
Affine Solutions to the Compressible Euler Equations With Time‐Dependent Damping and Free Boundary	3
Some Properties of Zeros of the Umemura Polynomials of the Fifth Painlevé Equation	3
Riemann problems for generalized gas dynamics	3
Pullback Attractors for Nonclassical Diffusion Equations With a Delay Operator	3
Determinantal approach to multiple orthogonal polynomials and the corresponding integrable equations	3
Nonconstant steady states and pattern formations of generalized 1D cross‐diffusion systems with prey‐taxis	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
A free boundary problem with resource‐dependent motility in a weak heterogeneous environment	3
Forest fire spreading: A nonlinear stochastic model continuous in space and time	3
On the Evolution of Relativistic Dust in Schwarzschild–de Sitter and Schwarzschild–Anti‐de Sitter Spacetimes. Part I: The Vanishing Mass Case	3
Nonlinearizable solutions in an eigenvalue problem for Maxwell's equations with nonhomogeneous nonlinear permittivity in a layer	3
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