Studies in Applied Mathematics

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
Dynamics of the predator–prey model with the Sigmoid functional response	19
Linking bifurcation analysis of Holling–Tanner model with generalist predator to a changing environment	19
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
Stability of smooth periodic travelling waves in the Camassa–Holm equation	18
High‐order exceptional points and enhanced sensing in subwavelength resonator arrays	17
Improved finite‐time zeroing neural network for time‐varying division	16
New finite volume approach for multidimensional Smoluchowski equation on nonuniform grids	16
Long‐time asymptotic behavior of the fifth‐order modified KdV equation in low regularity spaces	15
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
Dispersive Riemann problems for the Benjamin–Bona–Mahony equation	13
Vector breathers in the Manakov system	12
Exact solutions and internal waves for the Antarctic Circumpolar Current in spherical coordinates	12

Consensus‐based sampling	12
Optimal quarantine‐related strategies for COVID‐19 control models	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
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
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
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
Dispersive shock waves for the Boussinesq Benjamin–Ono equation	9
Analyticity of rotational traveling gravity two‐layer waves	9
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
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
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
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
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
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
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
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
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
Ocean‐depth measurement using shallow‐water wave models	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
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
Exact analytical solution of a novel modified nonlinear Schrödinger equation: Solitary quantum waves on a lattice	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
Energy thresholds of blow‐up for the Hartree equation with a focusing subcritical perturbation	4
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
A Novikov equation describing pseudo‐spherical surfaces, its pseudo‐potentials, and local isometric immersions	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 catalogue of semigroup properties for integral operators with Fox–Wright kernel functions	4
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
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
Uniform (very) sharp bounds for ratios of parabolic cylinder functions	2
An integrable semidiscretization of the modified Camassa–Holm equation with linear dispersion term	2
Nonuniform laminated beam of Lord–Shulman type	2
Miura transformation for the “good” Boussinesq equation	2
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Large‐time asymptotics to the focusing nonlocal modified Kortweg‐de Vries equation with step‐like boundary conditions	2
Subharmonic dynamics of wave trains in the Korteweg‐de Vries/Kuramoto‐Sivashinsky equation	2
The classical Neumann problem for a class of mixed Hessian equations	2
Resurgent aspects of applied exponential asymptotics	2
Rigorous justification of the Whitham modulation equations for equations of Whitham type	2
A Riemann–Hilbert approach to computing the inverse spectral map for measures supported on disjoint intervals	2
Singular Sturm–Liouville operators with extreme properties that generate black holes	2
Dynamics of a nonlocal dispersal in‐host viral model with humoral immunity	2
On the Su–Schrieffer–Heeger model of electron transport: Low‐temperature optical conductivity by the Mellin transform	2
Exceptional Gegenbauer polynomials via isospectral deformation	2
Systematic construction of nonautonomous Hamiltonian equations of Painlevé‐type. II. Isomonodromic Lax representation	2
On the dynamics of an epidemic patch model with mass‐action transmission mechanism and asymmetric dispersal patterns	2
Traveling wave solutions in a model for social outbursts in a tension‐inhibitive regime	2
Stochastic flocking dynamics of the inertial spin model with state‐dependent noises	2
Integrability and solvability of polynomial Liénard differential systems	2
Dynamics for a quantum parliament	2
Polynomial ergodicity of an SIRS epidemic model with density‐dependent demographics	2
Rigorous estimates on mechanical balance laws in the Boussinesq–Peregrine equations	2
Oscillations in three‐reaction quadratic mass‐action systems	2

Near‐optimal control of a stochastic model for mountain pine beetles with pesticide application	2
Random dynamics and limiting behaviors for 3D globally modified Navier–Stokes equations driven by colored noise	2
Macroscopic wave propagation for 2D lattice with random masses	2
On analyticity of scattered fields in layered structures with interfacial graphene	2
Global‐phase portrait and large‐degree asymptotics for the Kissing polynomials	2
Landscape of wave focusing and localization at low frequencies	2
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Differential equations for the recurrence coefficients of semiclassical orthogonal polynomials and their relation to the Painlevé equations via the geometric approach	2
Solutions to a phase‐field model for martensitic phase transformations driven by configurational forces	2
Stability of 3D perturbations near a special 2D solution to the rotating Boussinesq equations	2
Well‐posedness and control in a hyperbolic–parabolic parasitoid–parasite system	2
Bifurcation analysis for axisymmetric capillary water waves with vorticity and swirl	2
Soliton interactions and Yang–Baxter maps for the complex coupled short‐pulse equation	2
Symmetries of the DΔmKP hierarchy and their continuum limits	2
A Markov chain model to investigate the spread of antibiotic‐resistant bacteria in hospitals	2
KP reductions and various soliton solutions to the Fokas–Lenells equation under nonzero boundary condition	2
Exploring the interplay between memory effects and vesicle dynamics: A five‐dimensional analysis using rigid sphere models and mapping techniques	2
On ground states for the 2D Schrödinger equation with combined nonlinearities and harmonic potential	2
Linear integral equations and two‐dimensional Toda systems	2
Rational solutions of the fifth Painlevé equation. Generalized Laguerre polynomials	2
Well‐posedness of solutions for a class of quasilinear wave equations with strong damping and logarithmic nonlinearity	2
The elliptical vortices, integrable Ermakov structure, Schrödinger connection, and Lax pair in the compressible Navier–Stokes equation	2
Doubly localized two‐dimensional rogue waves generated by resonant collision in Maccari system	2
Complete classification of local conservation laws for generalized Cahn–Hilliard–Kuramoto–Sivashinsky equation	2
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Mathematical topics in compressible flows from single‐phase systems to two‐phase averaged systems	2
Windowed Green function method for wave scattering by periodic arrays of 2D obstacles	1
Exceptional Hahn and Jacobi polynomials with an arbitrary number of continuous parameters	1
The Riemann problem for a generalized Burgers equation with spatially decaying sound speed. I Large‐time asymptotics	1
Higher‐order symmetries of underdetermined systems of partial differential equations and Noether's Second Theorem	1
Multidimensional conservation laws and integrable systems II	1
Transverse spectral instabilities in Konopelchenko–Dubrovsky equation	1
On the linearized system of equations for the condensate–normal fluid interaction at very low temperature	1
New and simple mathematical description of epidemics including consecutive waves	1
On blowups of vorticity for the homogeneous Euler equation	1
Spectral and linear stability of peakons in the Novikov equation	1
Long‐time asymptotics and the radiation condition with time‐periodic boundary conditions for linear evolution equations on the half‐line and experiment	1
Some exact and approximate solutions to a generalized Maxwell–Cattaneo equation	1
Isentropic approximation of the compressible Euler equations in Besov spaces	1
Multiple orthogonal polynomials associated with the exponential integral	1
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Linearizable Abel equations and the Gurevich–Pitaevskii problem	1
Nonintegrability of the Painlevé IV equation in the Liouville–Arnold sense and Stokes phenomena	1
The essential spectrum of periodically stationary pulses in lumped models of short‐pulse fiber lasers	1
The Airy equation with nonlocal conditions	1
Spatiotemporal propagation of a time‐periodic reaction–diffusion SI epidemic model with treatment	1
Spatial dynamics for an SIRE epidemic model with diffusion and prevention in contaminated environments	1
Two‐phase magma flow with phase exchange: Part I. Physical modeling of a volcanic conduit	1
On the emergent behavior of the swarming models on the complex sphere	1
Radial spiky steady states of a flux‐limited Keller–Segel model: Existence, asymptotics, and stability	1
Self‐contained two‐layer shallow‐water theory of strong internal bores	1
Numerical study of Davey–Stewartson I systems	1
Asymptotic profiles of a spatial vector‐borne disease model with Fokker–Planck‐type diffusion	1
Bifurcations and global dynamics of a predator–prey mite model of Leslie type	1
Can a ground‐based vehicle hear the shape of a room?	1
Spectral analysis of a viscoelastic tube conveying fluid with generalized boundary conditions	1
A note about the invariance of the basic reproduction number for stochastically perturbed SIS models	1
On the variation of bi‐periodic waves in the transverse direction	1
Existence of global solutions to the nonlocal Schrödinger equation on the line	1
Riemann problems for generalized gas dynamics	1
On mixed problem of Chaplygin's hodograph equation in hyperbolic domain near the parabolic degenerate line	1
Mass and spring dimer Fermi–Pasta–Ulam–Tsingou nanopterons with exponentially small, nonvanishing ripples	1
Epidemic dynamics and spatial segregation driven by cognitive diffusion and nonlinear incidence	1
Green's functions, linear second‐order differential equations, and one‐dimensional diffusion advection models	1
Threshold dynamics and bifurcation analysis of an SIS patch model with delayed media impact	1
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A particle method for 1‐D compressible fluid flow	1
Forest fire spreading: A nonlinear stochastic model continuous in space and time	1
Asymptotics of solutions to periodic problem for the Korteweg–de Vries–Burgers equation	1
Group classification and analytical solutions of a radially symmetric avascular cancer model	1
Asymptotic spatial behavior for the heat equation on noncompact regions	1
A continuous analog of the binary Darboux transformation for the Korteweg–de Vries equation	1
Geometrical correspondence of the Miura transformation induced from affine Kac–Moody algebras	1
Multidomain spectral approach to rational‐order fractional derivatives	1
A mean‐field approach for the asymptotic tracking problem of moving continuum target clouds	1
Language competition on lattices	1
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Study of optimal subalgebras, invariant solutions, and conservation laws for a Verhulst biological population model	1
Multisoliton interactions approximating the dynamics of breather solutions	1
Monodromy in prolate spheroidal harmonics	1
From the AKNS system to the matrix Schrödinger equation with vanishing potentials: Direct and inverse problems	1
Isomonodromy sets of accessory parameters for Heun class equations	1
Stability of the inverse scattering problem for the self‐adjoint matrix Schrödinger operator on the half line	1
Initial boundary value problem for a class of wave equations of Hartree type	1
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Freezing limits for Calogero–Moser–Sutherland particle models	1
Convergence rates of vanishing diffusion limit on conservative form of Hsieh's equation	1
Multiphase solutions and their reductions for a nonlocal nonlinear Schrödinger equation with focusing nonlinearity	1
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Whitham modulation theory for the Zakharov–Kuznetsov equation and stability analysis of its periodic traveling wave solutions	1