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 2020-11-01 to 2024-11-01.)

Article	Citations
Completely resonant collision of lumps and line solitons in the Kadomtsev–Petviashvili I equation	71
Riemann–Hilbert problem and interactions of solitons in the ‐component nonlinear Schrödinger equations	48
Lump chains in the KP‐I equation	44
Spatiotemporal dynamics of a diffusive consumer‐resource model with explicit spatial memory	38
Bifurcation analysis of an extended Klausmeier–Gray–Scott model with infiltration delay	33
The Fokas–Lenells equations: Bilinear approach	29
Spatiotemporal patterns in a diffusive predator–prey system with nonlocal intraspecific prey competition	28
Exotic wave patterns in Riemann problem of the high‐order Jaulent–Miodek equation: Whitham modulation theory	25
Rogue waves and lumps on the nonzero background in the ‐symmetric nonlocal Maccari system	23
Darboux transformations and solutions of nonlocal Hirota and Maxwell–Bloch equations	22
Dynamic analysis of a stochastic eco‐epidemiological model with disease in predators	20
Linking bifurcation analysis of Holling–Tanner model with generalist predator to a changing environment	19
Dynamics of the predator–prey model with the Sigmoid functional response	19
Stability of smooth periodic travelling waves in the Camassa–Holm equation	18
Riemann–Hilbert approach for discrete sine‐Gordon equation with simple and double poles	18
Dbar‐approach to coupled nonlocal NLS equation and general nonlocal reduction	18
High‐order exceptional points and enhanced sensing in subwavelength resonator arrays	17
New finite volume approach for multidimensional Smoluchowski equation on nonuniform grids	16
Improved finite‐time zeroing neural network for time‐varying division	16
Long‐time asymptotic behavior of the fifth‐order modified KdV equation in low regularity spaces	15
Dispersive Riemann problems for the Benjamin–Bona–Mahony equation	13
Inverse scattering transform for the complex coupled short‐pulse equation	13
Existence, uniqueness and stability of forced waves to the Lotka‐Volterra competition system in a shifting environment	13
Consensus‐based sampling	12
Optimal quarantine‐related strategies for COVID‐19 control models	12

Vector breathers in the Manakov system	12
Exact solutions and internal waves for the Antarctic Circumpolar Current in spherical coordinates	12
Local symmetry structure and potential symmetries of time‐fractional partial differential equations	11
Differential, difference, and asymptotic relations for Pollaczek–Jacobi type orthogonal polynomials and their Hankel determinants	11
General higher—order breathers and rogue waves in the two‐component long‐wave–short‐wave resonance interaction model	10
Inverse scattering transform for the focusing nonlinear Schrödinger equation with counterpropagating flows	10
Infinite time blow‐up of solutions to a class of wave equations with weak and strong damping terms and logarithmic nonlinearity	10
On the existence and regularity of solutions of semihyperbolic patches to 2‐D Euler equations with van der Waals gas	10
Cauchy matrix approach to the SU(2) self‐dual Yang–Mills equation	10
Multiple orthogonal polynomials with respect to Gauss' hypergeometric function	10
Dispersive shock waves for the Boussinesq Benjamin–Ono equation	9
Analyticity of rotational traveling gravity two‐layer waves	9
Molecular dynamics simulations to explore the structure and rheological properties of normal and hyperconcentrated airway mucus	9
Properties of given and detected unbounded solutions to a class of chemotaxis models	9
Invasion analysis of a two‐species Lotka–Volterra competition model in an advective patchy environment	9
Stability in distribution for age‐structured HIV model with delay and driven by Ornstein–Uhlenbeck process	9
Boundary behavior of the solution to the linear Korteweg‐De Vries equation on the half line	8
The multi elliptic‐localized solutions and their asymptotic behaviors for the mKdV equation	8
Dissipative models of swell propagation across the Pacific	8
Hölder stability and uniqueness for the mean field games system via Carleman estimates	8
Tau‐function formulation for bright, dark soliton and breather solutions to the massive Thirring model	8
A novel fractional‐order reaction diffusion system for the multiplicative noise removal	8
Spot patterns in the 2‐D Schnakenberg model with localized heterogeneities	8
Rogue waves in the massive Thirring model	7
Depleting the signal: Analysis of chemotaxis‐consumption models—A survey	7
Dependence of eigenvalues of Dirac system on the parameters	7
Accuracy of slender body theory in approximating force exerted by thin fiber on viscous fluid	7
Bifurcations of thresholds in essential spectra of elliptic operators under localized non‐Hermitian perturbations	7
Modal decompositions and point scatterer approximations near the Minnaert resonance frequencies	7
On an averaged model for immiscible two‐phase flow with surface tension and dynamic contact angle in a thin strip	7
Three‐dimensional elastic beam frames: Rigid joint conditions in variational and differential formulation	7
Analytical construction of soliton families in one‐ and two‐dimensional nonlinear Schrödinger equations with nonparity‐time‐symmetric complex potentials	7
Soliton–mean field interaction in Korteweg–de Vries dispersive hydrodynamics	7
On the existence, uniqueness, and stability of periodic waves for the fractional Benjamin–Bona–Mahony equation	7
Spatial propagation in a within‐host viral infection model	6
Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation	6
New revival phenomena for linear integro–differential equations	6
A simplified monotone model of Wolbachia invasion encompassing Aedes aegypti mosquitoes	6
Electromagnetic interactions of dipole distributions with a stratified medium: Power fluxes and scattering cross sections	6
The linearized classical Boussinesq system on the half‐line	6
An SIS epidemic model with mass action infection mechanism in a patchy environment	6
Measures to assess a warning vaccination level in a stochastic SIV model with imperfect vaccine	6
Traveling capillary waves on the boundary of a fluid disc	6
Squared eigenfunction symmetry of the DmKP hierarchy and its constraint	6
On the almost‐circular symplectic induced Ginibre ensemble	6
Nonlinear mirror image method for nonlinear Schrödinger equation: Absorption/emission of one soliton by a boundary	5
An invariant for colored bonded knots	5
Elastodynamical resonances and cloaking of negative material structures beyond quasistatic approximation	5
Uniform error estimates for the random batch method to the first‐order consensus models with antisymmetric interaction kernels	5
Distance distributions and inverse problems for metric measure spaces	5

Pearson equations for discrete orthogonal polynomials: I. Generalized hypergeometric functions and Toda equations	5
Rogue waves arising on the standing periodic waves in the Ablowitz–Ladik equation	5
Whitham modulation theory for generalized Whitham equations and a general criterion for modulational instability	5
Traveling waves, blow‐up, and extinction in the Fisher–Stefan model	5
Solitary waves in a Whitham equation with small surface tension	5
Conservative invariant finite‐difference schemes for the modified shallow water equations in Lagrangian coordinates	5
Scattering and inverse scattering for the AKNS system: A rational function approach	5
Superharmonic instability of stokes waves	5
Rogue wave patterns associated with Okamoto polynomial hierarchies	5
Curved wedges in the long‐time asymptotics for the integrable nonlocal nonlinear Schrödinger equation	5
On nonexistence of continuous families of stationary nonlinear modes for a class of complex potentials	4
Three‐dimensional lattice ground states for Riesz and Lennard‐Jones–type energies	4
Capillary‐gravity solitary waves on water of finite depth interacting with a linear shear current	4
The unified transform for evolution equations on the half‐line with time‐periodic boundary conditions*	4
A Novikov equation describing pseudo‐spherical surfaces, its pseudo‐potentials, and local isometric immersions	4
A catalogue of semigroup properties for integral operators with Fox–Wright kernel functions	4
On the Whitham system for the (2+1)‐dimensional nonlinear Schrödinger equation	4
The 2D magnetohydrodynamic system with Euler‐like velocity equation and partial magnetic diffusion	4
Dynamical analysis of an age‐structured SIRE epidemic model with two routes of infection in environment	4
The binary Darboux transformation revisited and KdV solitons on arbitrary short‐range backgrounds	4
Ocean‐depth measurement using shallow‐water wave models	4
Integrable symplectic maps associated with discrete Korteweg‐de Vries‐type equations	4
Solutions and continuum limits to nonlocal discrete sine‐Gordon equations: Bilinearization reduction method	4
Impact of nonlocal dispersal and time periodicity on the global exponential stability of bistable traveling waves	4
Traveling waves and transverse instability for the fractional Kadomtsev–Petviashvili equation	4
Essential spectra of singular Hamiltonian differential operators of arbitrary order under a class of perturbations	4
Ladder relations for a class of matrix valued orthogonal polynomials	4
Exact analytical solution of a novel modified nonlinear Schrödinger equation: Solitary quantum waves on a lattice	4
Energy thresholds of blow‐up for the Hartree equation with a focusing subcritical perturbation	4
Rigorous justification of the Whitham modulation theory for equations of NLS type	3
Systematic construction of nonautonomous Hamiltonian equations of Painlevé type. I. Frobenius integrability	3
Spatiotemporal dynamics in a twisted, circular waveguide array	3
New asymptotic representations of the noncentral t‐distribution	3
Riemann problem for isentropic magnetogasdynamics in a variable cross‐section duct	3
Laguerre–Freud equations for three families of hypergeometric discrete orthogonal polynomials	3
Two‐dimensional Riemann problem of the Euler equations to the Van der Waals gas around a sharp corner	3
Asymptotic behavior of the porous elastic system with dual phase lag model: Classical versus second spectrum perspectives	3
Wave–current interaction on a free surface	3
Asymptotics of the deformed Fredholm determinant of the confluent hypergeometric kernel	3
Direct and inverse scattering problems for the first‐order discrete system associated with the derivative NLS system	3
Traveling waves in a coarse‐grained model of volume‐filling cell invasion: Simulations and comparisons	3
Transmission properties of space‐time modulated metamaterials	3
The numerical solutions of linear semidiscrete evolution problems on the half‐line using the Unified Transform Method	3
Nonlinearizable solutions in an eigenvalue problem for Maxwell's equations with nonhomogeneous nonlinear permittivity in a layer	3
On the stochastic robustness of complete clustering predictability for a first‐order consensus model	3
Dynamics of the rogue lump in the asymmetric Nizhnik–Novikov–Veselov system	3
On nonstandard chemotactic dynamics with logistic growth induced by a modified complex Ginzburg–Landau equation	3
Orthogonal polynomials on a class of planar algebraic curves	3
Radiation of waves by a submerged nearly circular rough plate in ice‐covered ocean	3
On a coupled Kadomtsev–Petviashvili system associated with an elliptic curve	3
Local well‐posedness of the higher‐order nonlinear Schrödinger equation on the half‐line: Single‐boundary condition case	3
The evolution of traveling waves in a KPP reaction–diffusion model with cut‐off reaction rate. II. Evolution of traveling waves	3
Canonical conformal variables based method for stability of Stokes waves	3
Breather solutions for a quasi‐linear ‐dimensional wave equation	3
On the three‐dimensional consistency of Hirota's discrete Korteweg‐de Vries equation	3
Higher dimensional generalization of the Benjamin‐Ono equation: 2D case	3