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 2021-05-01 to 2025-05-01.)

Article	Citations
	79
Well‐posedness of generalized KdV and one‐dimensional fourth‐order derivative nonlinear Schrödinger equations for data with an infinite L² norm	65
Three‐dimensional elastic beam frames: Rigid joint conditions in variational and differential formulation	51
Riemann–Hilbert method to the Ablowitz–Ladik equation: Higher‐order cases	50
Large‐time asymptotics to the focusing nonlocal modified Kortweg‐de Vries equation with step‐like boundary conditions	37
	37
Optimal quarantine‐related strategies for COVID‐19 control models	31
Asymptotic Properties of Special Function Solutions of the Painlevé III Equation for Fixed Parameters	28
	25
A boundary layer problem in nonflat domains with measurable viscous coefficients	23
Inverse scattering transform for the two‐component Gerdjikov–Ivanov equation with nonzero boundary conditions: Dark‐dark solitons	23
Issue Information‐TOC	23
Properties of given and detected unbounded solutions to a class of chemotaxis models	22
Issue Information‐TOC	20
The multi elliptic‐localized solutions and their asymptotic behaviors for the mKdV equation	20
Solving a Singular Limit Problem Arising With Euler–Korteweg Dispersive Waves	20
Asymptotic spatial behavior for the heat equation on noncompact regions	19
Revivals, or the Talbot effect, for the Airy equation	19
Global dynamics of a two‐stage structured diffusive population model in time‐periodic and spatially heterogeneous environments	18
Invariant Manifolds in a Class‐Structured Model From Adaptive Dynamics	18
Issue Information‐TOC	16
Asymptotics of polynomials orthogonal with respect to a generalized Freud weight with application to special function solutions of Painlevé‐IV	16
From primary HPV infection to carcinoma in situ: A mathematical approach to cervical intraepithelial neoplasia	15
Higher‐order integrable models for oceanic internal wave–current interactions	14
Issue Information‐TOC	14

Hyperbolicity study of the modulation equations for the Benjamin–Bona–Mahony equation	14
General boundary conditions for a Boussinesq model with varying bathymetry	13
Initial boundary value problem for a class of wave equations of Hartree type	13
Hamiltonian mechanics of “magnetic” solitons in two‐component Bose–Einstein condensates	13
Weak Solutions and Simulations for a Generalized Phase‐Field Crystal Model With Neumann Boundary Conditions	13
The KP limit of a reduced quantum Euler–Poisson equation	12
Modal decompositions and point scatterer approximations near the Minnaert resonance frequencies	12
Exotic wave patterns in Riemann problem of the high‐order Jaulent–Miodek equation: Whitham modulation theory	12
Inversion formula for an integral geometry problem over surfaces of revolution	12
Mass and spring dimer Fermi–Pasta–Ulam–Tsingou nanopterons with exponentially small, nonvanishing ripples	11
Breather solutions for a quasi‐linear ‐dimensional wave equation	11
Turing bifurcation in activator–inhibitor (depletion) models with cross‐diffusion and nonlocal terms	11
Some exact and approximate solutions to a generalized Maxwell–Cattaneo equation	11
New finite volume approach for multidimensional Smoluchowski equation on nonuniform grids	10
Oscillatory and regularized shock waves for a modified Serre–Green–Naghdi system	10
Riemann problem for isentropic magnetogasdynamics in a variable cross‐section duct	10
	9
An analytical and numerical study of the Diaz–Solovchuk–Sheu acoustic model: How does it compare with Blackstock's in approximating the Euler system?	9
Efficient numerical solution of one‐phase linear inverse Stefan and Cauchy–Stefan problems in two dimensions: A posteriori error control	9
Traveling capillary waves on the boundary of a fluid disc	8
Transverse spectral instabilities in Konopelchenko–Dubrovsky equation	8
Linear integral equations and two‐dimensional Toda systems	8
Rigorous justification of the Whitham modulation equations for equations of Whitham type	7
Issue Information‐TOC	7
The Riemann Problem for the Flow Pattern in Deviated Pipes Carrying Isentropic Two‐Phase Flows	7
	7
Spectral and linear stability of peakons in the Novikov equation	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
Stationary coupled KdV systems and their Stäckel representations	6
	6
Preface: Integrable systems and their applications, celebrating the 70th birthday of Athanassios S. Fokas	6
Instability of near‐extreme solutions to the Whitham equation	6
Traveling Viral Waves for a Spatial May–Nowak Model with Hybrid Local and Nonlocal Dispersal	6
Existence of solutions to gas expansion problem through a sharp corner for 2‐D Euler equations with general equation of state	6
Exceptional Hahn and Jacobi polynomials with an arbitrary number of continuous parameters	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
Spatiotemporal dynamics in a twisted, circular waveguide array	6
	6
The degenerate hyperbolic problem for the two‐dimensional nonlinear wave system	6
Matrix‐Valued Cauchy Bi‐Orthogonal Polynomials and a Novel Noncommutative Integrable Lattice	5
Perturbed conformal invariance and Mei adiabatic invariants of the generalized perturbed Hamiltonian systems with additional terms	5
A stochastic model for malaria and its behavior under insecticide‐treated nets	5
Issue Information‐TOC	5
Issue Information‐TOC	5
Asymptotics of the deformed Fredholm determinant of the confluent hypergeometric kernel	5
Tau‐function formulation for bright, dark soliton and breather solutions to the massive Thirring model	5
Evolution of Dispersal in Open Advective Patchy Environments	5
On mixed problem of Chaplygin's hodograph equation in hyperbolic domain near the parabolic degenerate line	5

Kirillov structures and reduction of Hamiltonian systems by scaling and standard symmetries	5
Spatial Movement With Explicit Memory and Nonlocal Pregnancy Delay	5
Rogue waves and lumps on the nonzero background in the ‐symmetric nonlocal Maccari system	5
Nonintegrability of the Painlevé IV equation in the Liouville–Arnold sense and Stokes phenomena	5
Stokes flow solutions in infinite and semi‐infinite porous channels	5
	5
Planar Schrödinger–Poisson system with exponential critical growth: Local well‐posedness and standing waves with prescribed mass	5
Orthogonal polynomials on a class of planar algebraic curves	5
The Darboux Matrices With a Single Multiple Pole and Their Applications	4
	4
Spatiotemporal dynamics of a diffusive consumer‐resource model with explicit spatial memory	4
In Search of Rogue Waves: A Novel Proposal Distribution for Parallelized Rejection Sampling of the Truncated KdV Gibbs Measure	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
	4
Asymptotic profiles of a spatial vector‐borne disease model with Fokker–Planck‐type diffusion	4
Stability in distribution for age‐structured HIV model with delay and driven by Ornstein–Uhlenbeck process	4
Multisoliton interactions approximating the dynamics of breather solutions	4
Roughness‐induced effects on the thermomicropolar fluid flow through a thin domain	4
Higher dimensional generalization of the Benjamin‐Ono equation: 2D case	4
Numerical Approaches in Nonlinear Fourier Transform‐Based Signal Processing for Telecommunications	4
On nonstandard chemotactic dynamics with logistic growth induced by a modified complex Ginzburg–Landau equation	4
Soliton interactions and Yang–Baxter maps for the complex coupled short‐pulse equation	4
Hydrodynamics of a discrete conservation law	4
The Maximal Lyapunov Exponent of a Stochastic Bautin Bifurcation System	4
	4
Consensus‐based sampling	4
Exponentially localized interface eigenmodes in finite chains of resonators	4
On the emergent behavior of the swarming models on the complex sphere	4
A Lagrangian for Compressible Flow Focusing on Dissipation due to Thermal Conduction	4
Uniform (very) sharp bounds for ratios of parabolic cylinder functions	4
A modern concept of Lagrangian hydrodynamics	4
Emergence of Well‐Ordering and Clustering for a First‐Order Nonlinear Consensus Model	4
Traveling waves, blow‐up, and extinction in the Fisher–Stefan model	4
Degenerate Cauchy–Goursat problem for 2‐D steady isentropic Euler system with van der Waals gas	3
Issue Information‐TOC	3
Nonlinearizable solutions in an eigenvalue problem for Maxwell's equations with nonhomogeneous nonlinear permittivity in a layer	3
Spectral Jacobi approximations for Boussinesq systems	3
Predator–prey systems with a variable habitat for predators in advective environments	3
Stability of smooth periodic travelling waves in the Camassa–Holm equation	3
Random dynamics and limiting behaviors for 3D globally modified Navier–Stokes equations driven by colored noise	3
Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation	3
Landscape of wave focusing and localization at low frequencies	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
Multiple orthogonal polynomials associated with the exponential integral	3
Numerical study of the Amick–Schonbek system	3
	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
Determinantal approach to multiple orthogonal polynomials and the corresponding integrable equations	3
Subharmonic dynamics of wave trains in the Korteweg‐de Vries/Kuramoto‐Sivashinsky equation	3
Complete classification of local conservation laws for generalized Cahn–Hilliard–Kuramoto–Sivashinsky equation	3
Riemann problems for generalized gas dynamics	3
Issue Information‐TOC	3
Laguerre–Freud equations for three families of hypergeometric discrete orthogonal polynomials	3
Dynamics Analysis for Diffusive Resource‐Consumer Model With Nonlocal Discrete Memory	3
Study of optimal subalgebras, invariant solutions, and conservation laws for a Verhulst biological population model	3
Concentric‐Ring Patterns of Higher‐Order Lumps in the Kadomtsev–Petviashvili I Equation	3
Spectral analysis of a viscoelastic tube conveying fluid with generalized boundary conditions	3
Multidomain spectral approach to rational‐order fractional derivatives	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