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 2020-04-01 to 2024-04-01.)

Article	Citations
Completely resonant collision of lumps and line solitons in the Kadomtsev–Petviashvili I equation	65
Inverse scattering transforms and soliton solutions of nonlocal reverse‐space nonlinear Schrödinger hierarchies	53
Riemann–Hilbert problem and interactions of solitons in the ‐component nonlinear Schrödinger equations	40
Lump chains in the KP‐I equation	40
Spatiotemporal dynamics of a diffusive consumer‐resource model with explicit spatial memory	29
Bifurcation analysis of an extended Klausmeier–Gray–Scott model with infiltration delay	29
General soliton and (semi‐)rational solutions to the nonlocal Mel'nikov equation on the periodic background	25
Exotic wave patterns in Riemann problem of the high‐order Jaulent–Miodek equation: Whitham modulation theory	25
The Fokas–Lenells equations: Bilinear approach	23
Spatiotemporal patterns in a diffusive predator–prey system with nonlocal intraspecific prey competition	21
The regularity of the multiple higher‐order poles solitons of the NLS equation	21
Rogue waves and lumps on the nonzero background in the ‐symmetric nonlocal Maccari system	20
Commutativity of quaternion‐matrix–valued functions and quaternion matrix dynamic equations on time scales	20
Darboux transformations and solutions of nonlocal Hirota and Maxwell–Bloch equations	18
Dbar‐approach to coupled nonlocal NLS equation and general nonlocal reduction	17
General soliton solutions to a reverse‐time nonlocal nonlinear Schrödinger equation	16
Dynamic analysis of a stochastic eco‐epidemiological model with disease in predators	16
Linking bifurcation analysis of Holling–Tanner model with generalist predator to a changing environment	16
Integrability, existence of global solutions, and wave breaking criteria for a generalization of the Camassa–Holm equation	15
High‐order exceptional points and enhanced sensing in subwavelength resonator arrays	14
The short pulse equation: Bäcklund transformations and applications	14
Improved finite‐time zeroing neural network for time‐varying division	14
Optimal quarantine‐related strategies for COVID‐19 control models	13
New finite volume approach for multidimensional Smoluchowski equation on nonuniform grids	13
Long‐time asymptotic behavior of the fifth‐order modified KdV equation in low regularity spaces	13

Dynamics of the predator–prey model with the Sigmoid functional response	12
Real Lax spectrum implies spectral stability	11
Dispersive Riemann problems for the Benjamin–Bona–Mahony equation	11
Differential, difference, and asymptotic relations for Pollaczek–Jacobi type orthogonal polynomials and their Hankel determinants	11
Exact solutions and internal waves for the Antarctic Circumpolar Current in spherical coordinates	10
Inverse scattering transform for the complex coupled short‐pulse equation	10
Inverse scattering transform for the focusing nonlinear Schrödinger equation with counterpropagating flows	10
Stability of smooth periodic travelling waves in the Camassa–Holm equation	10
Local symmetry structure and potential symmetries of time‐fractional partial differential equations	9
Kernel density estimation with linked boundary conditions	9
Sparse spectral and ‐finite element methods for partial differential equations on disk slices and trapeziums	9
Existence, uniqueness and stability of forced waves to the Lotka‐Volterra competition system in a shifting environment	9
Infinite time blow‐up of solutions to a class of wave equations with weak and strong damping terms and logarithmic nonlinearity	9
Analyticity of rotational traveling gravity two‐layer waves	9
Dispersive shock waves for the Boussinesq Benjamin–Ono equation	8
Molecular dynamics simulations to explore the structure and rheological properties of normal and hyperconcentrated airway mucus	8
Dissipative models of swell propagation across the Pacific	8
Stability in distribution for age‐structured HIV model with delay and driven by Ornstein–Uhlenbeck process	8
Vector breathers in the Manakov system	8
The complex Hamiltonian systems and quasi‐periodic solutions in the derivative nonlinear Schrödinger equations	8
Riemann–Hilbert approach for discrete sine‐Gordon equation with simple and double poles	8
Numerical study of the transverse stability of the Peregrine solution	8
Sharp estimate of electric field from a conductive rod and application	8
On the existence and regularity of solutions of semihyperbolic patches to 2‐D Euler equations with van der Waals gas	8
General higher—order breathers and rogue waves in the two‐component long‐wave–short‐wave resonance interaction model	7
Consensus‐based sampling	7
Properties of given and detected unbounded solutions to a class of chemotaxis models	7
Cauchy matrix approach to the SU(2) self‐dual Yang–Mills equation	7
Spot patterns in the 2‐D Schnakenberg model with localized heterogeneities	7
Electromagnetic interactions of dipole distributions with a stratified medium: Power fluxes and scattering cross sections	6
A novel fractional‐order reaction diffusion system for the multiplicative noise removal	6
On the existence, uniqueness, and stability of periodic waves for the fractional Benjamin–Bona–Mahony equation	6
Bifurcations of thresholds in essential spectra of elliptic operators under localized non‐Hermitian perturbations	6
Spatial propagation in a within‐host viral infection model	6
Invasion analysis of a two‐species Lotka–Volterra competition model in an advective patchy environment	6
Doubly periodic lozenge tilings of a hexagon and matrix valued orthogonal polynomials	6
Boundary behavior of the solution to the linear Korteweg‐De Vries equation on the half line	6
Analytical construction of soliton families in one‐ and two‐dimensional nonlinear Schrödinger equations with nonparity‐time‐symmetric complex potentials	6
Mass‐in‐mass lattices with small internal resonators	6
Multiple orthogonal polynomials with respect to Gauss' hypergeometric function	6
On the almost‐circular symplectic induced Ginibre ensemble	6
Tau‐function formulation for bright, dark soliton and breather solutions to the massive Thirring model	5
Quasi‐stability and upper semicontinuity for coupled parabolic equations with memory	5
The linearized classical Boussinesq system on the half‐line	5
Hölder stability and uniqueness for the mean field games system via Carleman estimates	5
Superharmonic instability of stokes waves	5
Pearson equations for discrete orthogonal polynomials: I. Generalized hypergeometric functions and Toda equations	5
Stable blow‐up dynamics in the ‐critical and ‐supercritical generalized Hartree equation	5
Measures to assess a warning vaccination level in a stochastic SIV model with imperfect vaccine	5
Gaussian unitary ensembles with two jump discontinuities, PDEs, and the coupled Painlevé II and IV systems	5

On an averaged model for immiscible two‐phase flow with surface tension and dynamic contact angle in a thin strip	5
Uniform error estimates for the random batch method to the first‐order consensus models with antisymmetric interaction kernels	5
New revival phenomena for linear integro–differential equations	5
Traveling capillary waves on the boundary of a fluid disc	5
Multiscale expansions avector solitons of a two‐dimensional nonlocal nonlinear Schrödinger system	5
Modal decompositions and point scatterer approximations near the Minnaert resonance frequencies	5
Squared eigenfunction symmetry of the DmKP hierarchy and its constraint	5
Three‐dimensional elastic beam frames: Rigid joint conditions in variational and differential formulation	5
Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation	4
Soliton–mean field interaction in Korteweg–de Vries dispersive hydrodynamics	4
Solitary waves in a Whitham equation with small surface tension	4
Dependence of eigenvalues of Dirac system on the parameters	4
Exact analytical solution of a novel modified nonlinear Schrödinger equation: Solitary quantum waves on a lattice	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
Semiclassical dynamics and coherent soliton condensates in self‐focusing nonlinear media with periodic initial conditions	4
Accuracy of slender body theory in approximating force exerted by thin fiber on viscous fluid	4
A catalogue of semigroup properties for integral operators with Fox–Wright kernel functions	4
Capillary‐gravity solitary waves on water of finite depth interacting with a linear shear current	4
An invariant for colored bonded knots	4
The unified transform for evolution equations on the half‐line with time‐periodic boundary conditions*	4
A simplified monotone model of Wolbachia invasion encompassing Aedes aegypti mosquitoes	4
Connection formulae for asymptotics of the fifth Painlevé transcendent on the imaginary axis: I	4
Whitham modulation theory for generalized Whitham equations and a general criterion for modulational instability	4
Curved wedges in the long‐time asymptotics for the integrable nonlocal nonlinear Schrödinger equation	4
Zeroth‐order conservation laws of two‐dimensional shallow water equations with variable bottom topography	4
Nonlinear mirror image method for nonlinear Schrödinger equation: Absorption/emission of one soliton by a boundary	4
Three‐dimensional lattice ground states for Riesz and Lennard‐Jones–type energies	4
Scattering and inverse scattering for the AKNS system: A rational function approach	4