Studies in Applied Mathematics

Article	Citations
Wave–current interaction on a free surface	79
The coupled Hirota equations with a 3×3$3\times 3$ Lax pair: Painlevé‐type asymptotics in transition zone	62
Global dynamics and spatiotemporal patterns of a two‐species chemotaxis system with chemical signaling loop and Lotka–Volterra competition	51
Riemann–Hilbert method to the Ablowitz–Ladik equation: Higher‐order cases	38
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Emergence of Well‐Ordering and Clustering for a First‐Order Nonlinear Consensus Model	36
Rarefaction Wave Interaction and Existence of a Global Smooth Solution in the Blood Flow Model With Time‐Dependent Body Force	31
Sharp Rate of the Accelerating Propagation for a Recursive System	28
Evolution of Dispersal in a Stream With Better Resources at Downstream Locations	25
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On the linearized system of equations for the condensate–normal fluid interaction at very low temperature	20
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Optimal quarantine‐related strategies for COVID‐19 control models	19
On the variation of bi‐periodic waves in the transverse direction	18
Can a ground‐based vehicle hear the shape of a room?	18
Stability of Standing Periodic Waves in the Massive Thirring Model	18
Dynamics of a Memory‐Based Diffusion Model With Maturation Delay and Spatial Heterogeneity	18
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The classical Neumann problem for a class of mixed Hessian equations	18
Long‐time asymptotic behavior of the fifth‐order modified KdV equation in low regularity spaces	16
Steady Boussinesq convection: Parametric analyticity and computation	15
A mean‐field approach for the asymptotic tracking problem of moving continuum target clouds	15
Near‐optimal control of a stochastic model for mountain pine beetles with pesticide application	15
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Hamiltonian shocks	13

Curved wedges in the long‐time asymptotics for the integrable nonlocal nonlinear Schrödinger equation	13
Large‐time asymptotics to the focusing nonlocal modified Kortweg‐de Vries equation with step‐like boundary conditions	13
Stability in distribution for age‐structured HIV model with delay and driven by Ornstein–Uhlenbeck process	12
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On ground states for the 2D Schrödinger equation with combined nonlinearities and harmonic potential	12
An asymptotic expansion of eigenpolynomials for a class of linear differential operators	12
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Solitary waves in a Whitham equation with small surface tension	11
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Multiloop soliton solutions and compound WKI–SP hierarchy	10
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Differential, difference, and asymptotic relations for Pollaczek–Jacobi type orthogonal polynomials and their Hankel determinants	10
Global nonlinear stability of longitudinal wave for the planar motion of elastic string with linear Hooke's law	9
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Well‐posedness of generalized KdV and one‐dimensional fourth‐order derivative nonlinear Schrödinger equations for data with an infinite L2 norm	9
Rogue wave patterns associated with Okamoto polynomial hierarchies	9
Higher dimensional generalization of the Benjamin‐Ono equation: 2D case	8
Spatiotemporal dynamics of a diffusive consumer‐resource model with explicit spatial memory	8
Traveling waves, blow‐up, and extinction in the Fisher–Stefan model	8
Soliton interactions and Yang–Baxter maps for the complex coupled short‐pulse equation	8
Rigorous estimates on mechanical balance laws in the Boussinesq–Peregrine equations	8
Predator–prey model with sigmoid functional response	7
Weak long‐range diffusion	7
Whitham modulation theory and the classification of solutions to the Riemann problem of the Fokas–Lenells equation	7
On blowups of vorticity for the homogeneous Euler equation	7
Stability of bound states for regularized nonlinear Schrödinger equations	7
Three‐dimensional elastic beam frames: Rigid joint conditions in variational and differential formulation	7
KP reductions and various soliton solutions to the Fokas–Lenells equation under nonzero boundary condition	7
Hydrodynamics of a discrete conservation law	7
Asymptotic profiles of a spatial vector‐borne disease model with Fokker–Planck‐type diffusion	6
Preface: Nonlinear waves in honor of Harvey Segur on the occasion of his 80th birthday	6
Roughness‐induced effects on the thermomicropolar fluid flow through a thin domain	6
Classification of spatial dynamics of a vector–host epidemic model in advective heterogeneous environment	6
On nonstandard chemotactic dynamics with logistic growth induced by a modified complex Ginzburg–Landau equation	6
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Integrability and solvability of polynomial Liénard differential systems	6
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A vorticity wave packet breaking within a rapidly rotating vortex. Part I: The critical layer flow	6
Multidimensional conservation laws and integrable systems II	6
The Maximal Lyapunov Exponent of a Stochastic Bautin Bifurcation System	6
Distance distributions and inverse problems for metric measure spaces	6
Nonuniform laminated beam of Lord–Shulman type	5
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Self‐contained two‐layer shallow‐water theory of strong internal bores	5
Dynamic analysis of a stochastic eco‐epidemiological model with disease in predators	5
Multiple orthogonal polynomials with respect to Gauss' hypergeometric function	5
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Integrable Hierarchy for Homogeneous Realization of the Toroidal Lie Algebra Lr+1tor(slℓ)$\mathcal {L}^{\mathrm{tor}}_{r+1}(\mathfrak {sl}_\ell)$	5

On the existence, uniqueness, and stability of periodic waves for the fractional Benjamin–Bona–Mahony equation	5
On an averaged model for immiscible two‐phase flow with surface tension and dynamic contact angle in a thin strip	5
Squared eigenfunction symmetry of the DmKP hierarchy and its constraint	5
Ocean‐depth measurement using shallow‐water wave models	5
Global dynamics of a two‐stage structured diffusive population model in time‐periodic and spatially heterogeneous environments	4
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Matrix exceptional Laguerre polynomials	4
Riemann–Hilbert approach for discrete sine‐Gordon equation with simple and double poles	4
A modern concept of Lagrangian hydrodynamics	4
Asymptotic behavior of the porous elastic system with dual phase lag model: Classical versus second spectrum perspectives	4
Exponentially localized interface eigenmodes in finite chains of resonators	4
Dispersive Riemann problems for the Benjamin–Bona–Mahony equation	4
Dynamics of 2D fluid in bounded domain via conformal variables	4
Well‐posedness and control in a hyperbolic–parabolic parasitoid–parasite system	4
Exact solutions and internal waves for the Antarctic Circumpolar Current in spherical coordinates	4
Higher‐order integrable models for oceanic internal wave–current interactions	4
Inverse scattering transform for the two‐component Gerdjikov–Ivanov equation with nonzero boundary conditions: Dark‐dark solitons	4
Spatiotemporal patterns in a diffusive predator–prey system with nonlocal intraspecific prey competition	4
Dynamics of the rogue lump in the asymmetric Nizhnik–Novikov–Veselov system	4
A direct approach for solving the cubic Szegö equation	4
The Riemann problem for a generalized Burgers equation with spatially decaying sound speed. I Large‐time asymptotics	3
Group classification and analytical solutions of a radially symmetric avascular cancer model	3
A Novikov equation describing pseudo‐spherical surfaces, its pseudo‐potentials, and local isometric immersions	3
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On Global and Decay Solution of Viscous Compressible MHD Equations	3
Inversion of the two‐data circular Radon transform centered on a curve on C(R2)${\cal C}(\mathbf {R}^2)$	3
Two‐phase magma flow with phase exchange: Part I. Physical modeling of a volcanic conduit	3
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On the dynamics of an epidemic patch model with mass‐action transmission mechanism and asymmetric dispersal patterns	3
Asymptotic spatial behavior for the heat equation on noncompact regions	3
Uniform (very) sharp bounds for ratios of parabolic cylinder functions	3
Asymptotics of polynomials orthogonal with respect to a generalized Freud weight with application to special function solutions of Painlevé‐IV	3
The Riemann–Hilbert approach for the integrable fractional Fokas–Lenells equation	3
Auto‐Bäcklund Transformations for New Matrix First and Second Painlevé Hierarchies	3
Orthogonal Laurent Polynomials of Two Real Variables	3
On the existence and regularity of solutions of semihyperbolic patches to 2‐D Euler equations with van der Waals gas	3
Revivals, or the Talbot effect, for the Airy equation	3
Whitham modulation theory for the Zakharov–Kuznetsov equation and stability analysis of its periodic traveling wave solutions	3
On the three‐dimensional consistency of Hirota's discrete Korteweg‐de Vries equation	3
Traveling wave solutions in a model for social outbursts in a tension‐inhibitive regime	3
Properties of given and detected unbounded solutions to a class of chemotaxis models	3
A boundary layer problem in nonflat domains with measurable viscous coefficients	3
Windowed Green function method for wave scattering by periodic arrays of 2D obstacles	3
Invariant Manifolds in a Class‐Structured Model From Adaptive Dynamics	3
Mathematical topics in compressible flows from single‐phase systems to two‐phase averaged systems	3
Two‐dimensional Riemann problem of the Euler equations to the Van der Waals gas around a sharp corner	3
Pitchfork bifurcation along a slow parameter ramp: Coherent structures in the critical scaling	3
On the emergent behavior of the swarming models on the complex sphere	3
Geometrical correspondence of the Miura transformation induced from affine Kac–Moody algebras	3
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Dissipative models of swell propagation across the Pacific	2
Hölder stability and uniqueness for the mean field games system via Carleman estimates	2
Classical Multiple Orthogonal Polynomials for Arbitrary Number of Weights and Their Explicit Representation	2
Systematic construction of nonautonomous Hamiltonian equations of Painlevé‐type. II. Isomonodromic Lax representation	2
Qualitative Analysis for a Fourth‐Order Wave Equation With Exponential‐Type Nonlinearity	2
Nonconstant steady states and pattern formations of generalized 1D cross‐diffusion systems with prey‐taxis	2
David J. Kaup and Boson Stars	2
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On an SIS epidemic model with power‐like nonlinear incidence and with/without cross‐diffusion	2
Stabilized time‐series expansions for high‐order finite element solutions of partial differential equations	2
On the Double Moore–Gibson–Thompson System of Thermoviscoelasticity	2
Differential equations for the recurrence coefficients of semiclassical orthogonal polynomials and their relation to the Painlevé equations via the geometric approach	2
Turing Instability and Dynamic Bifurcation for the One‐Dimensional Gray–Scott Model	2
Solving a Singular Limit Problem Arising With Euler–Korteweg Dispersive Waves	2
The multi elliptic‐localized solutions and their asymptotic behaviors for the mKdV equation	2
Uniform boundedness and eventual Hölder continuity to a cancer invasion model with remodeling of ECM and nonlinear diffusion	2
A novel fractional‐order reaction diffusion system for the multiplicative noise removal	2
The KP limit of a reduced quantum Euler–Poisson equation	2
Mathematical Modeling and Analysis of Atherosclerosis Based on Fluid‐Multilayered Poroelastic Structure Interaction Model	2
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Lump chains in the KP‐I equation	2
The convexity for compressible subsonic cavity flows	2
From primary HPV infection to carcinoma in situ: A mathematical approach to cervical intraepithelial neoplasia	2
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Two‐Dimensional Fractional Discrete Nonlinear Schrödinger Equations: Dispersion Relations, Rogue Waves, Fundamental, and Vortex Solitons	2
Forest fire spreading: A nonlinear stochastic model continuous in space and time	2
Dynamics of a Reaction–Diffusion–Advection System From River Ecology With Inflow	2
Spatiotemporal propagation of a time‐periodic reaction–diffusion SI epidemic model with treatment	2
Numerical Approaches in Nonlinear Fourier Transform‐Based Signal Processing for Telecommunications	2

A Numerical and Bi‐directional Study of the Blackstock and Diaz–Solovchuk–Sheu Models for Approximating the Euler System	2
Dissipative Gradient Nonlinearities Prevent δ$\delta$‐Formations in Local and Nonlocal Attraction–Repulsion Chemotaxis Models	2
Multiphase solutions and their reductions for a nonlocal nonlinear Schrödinger equation with focusing nonlinearity	2
Initial boundary value problem for a class of wave equations of Hartree type	2
In Search of Rogue Waves: A Novel Proposal Distribution for Parallelized Rejection Sampling of the Truncated KdV Gibbs Measure	2
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Superharmonic instability of stokes waves	2
Dependence of eigenvalues of Dirac system on the parameters	2
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Existence and nonexistence of Puiseux inverse integrating factors in analytic monodromic singularities	2
Construction of inclusions with vanishing generalized polarization tensors by imperfect interfaces	2
Hyperbolicity study of the modulation equations for the Benjamin–Bona–Mahony equation	2
Thermal Convection in a Linearly Viscous Fluid Overlying a Bidisperse Porous Medium	2
Breather solutions for a quasi‐linear ‐dimensional wave equation	2
A Lagrangian for Compressible Flow Focusing on Dissipation due to Thermal Conduction	2
Variable‐Coefficient Evolution Problems via the Fokas Method Part I: Dissipative Case	2
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Nonlinearizable solutions in an eigenvalue problem for Maxwell's equations with nonhomogeneous nonlinear permittivity in a layer	1
On the stochastic robustness of complete clustering predictability for a first‐order consensus model	1
Singularity formation for the relativistic Euler equations of Chaplygin gases in Schwarzschild spacetime	1
Some exact and approximate solutions to a generalized Maxwell–Cattaneo equation	1
An application of a qd‐type discrete hungry Lotka–Volterra equation over finite fields to a decoding problem	1
Exotic wave patterns in Riemann problem of the high‐order Jaulent–Miodek equation: Whitham modulation theory	1
General higher—order breathers and rogue waves in the two‐component long‐wave–short‐wave resonance interaction model	1
Soliton–mean field interaction in Korteweg–de Vries dispersive hydrodynamics	1
Degenerate Cauchy–Goursat problem for 2‐D steady isentropic Euler system with van der Waals gas	1
Linearizable Abel equations and the Gurevich–Pitaevskii problem	1
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Riemann problems for generalized gas dynamics	1
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Depleting the signal: Analysis of chemotaxis‐consumption models—A survey	1
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Freezing limits for Calogero–Moser–Sutherland particle models	1
Canonical conformal variables based method for stability of Stokes waves	1
A Nonlocal Reaction‐Diffusion‐Advection System Modeling the Phytoplankton and Zooplankton	1
Hamiltonian mechanics of “magnetic” solitons in two‐component Bose–Einstein condensates	1
Sharp thresholds of blowup and uniform bound for a Schrödinger system with second‐order derivative‐type and combined power‐type nonlinearities	1
Weak compactons of nonlinearly dispersive KdV and KP equations	1
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Molecular dynamics simulations to explore the structure and rheological properties of normal and hyperconcentrated airway mucus	1
Asymptotics of the partition function of the perturbed Gross–Witten–Wadia unitary matrix model	1
New finite volume approach for multidimensional Smoluchowski equation on nonuniform grids	1
Weak Solutions and Simulations for a Generalized Phase‐Field Crystal Model With Neumann Boundary Conditions	1
Whitham modulation theory for generalized Whitham equations and a general criterion for modulational instability	1
Modal decompositions and point scatterer approximations near the Minnaert resonance frequencies	1
Sobolev‐orthogonal systems with tridiagonal skew‐Hermitian differentiation matrices	1
Rogue wave patterns associated with Adler–Moser polynomials featuring multiple roots in the nonlinear Schrödinger equation	1
Inversion formula for an integral geometry problem over surfaces of revolution	1
Computer‐assisted analysis of chaos in a three‐species food chain model	1
Existence, uniqueness and stability of forced waves to the Lotka‐Volterra competition system in a shifting environment	1
Global existence and the time decay estimates of solutions to the compressible quantum Navier–Stokes–Maxwell system in R3$\mathbb {R}^3$	1
Bifurcation analysis of an extended Klausmeier–Gray–Scott model with infiltration delay	1
N‐fold Darboux transformation of the discrete PT‐symmetric nonlinear Schrödinger equation and new soliton solutions over the nonzero background	1
Mass and spring dimer Fermi–Pasta–Ulam–Tsingou nanopterons with exponentially small, nonvanishing ripples	1
The essential spectrum of periodically stationary pulses in lumped models of short‐pulse fiber lasers	1
Riemann problem for isentropic magnetogasdynamics in a variable cross‐section duct	1
Dynamics of a Nonlocal Dispersal Population Model With Annually Synchronized Emergence of Adults	1
Bifurcation structure of steady states for a cooperative model with population flux by attractive transition	1
Exceptional Gegenbauer polynomials via isospectral deformation	1
Laguerre–Freud equations for three families of hypergeometric discrete orthogonal polynomials	1
Multiple orthogonal polynomials associated with the exponential integral	1
Blow‐Up of Radially Symmetric Solutions for a Cubic NLS‐Type System in Dimension 4	1
Two‐phase magma flow with phase exchange: Part II. 1.5D numerical simulations of a volcanic conduit	1
Complete classification of local conservation laws for generalized Cahn–Hilliard–Kuramoto–Sivashinsky equation	1
Invasion analysis of a two‐species Lotka–Volterra competition model in an advective patchy environment	1
A catalogue of semigroup properties for integral operators with Fox–Wright kernel functions	1
Green's functions, linear second‐order differential equations, and one‐dimensional diffusion advection models	1
Dynamics Analysis for Diffusive Resource‐Consumer Model With Nonlocal Discrete Memory	1
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Rich dynamics of a hepatitis C virus infection model with logistic proliferation and time delays	1
On the Su–Schrieffer–Heeger model of electron transport: Low‐temperature optical conductivity by the Mellin transform	1
Viability of circle and sphere theorems in potential theory and hydrodynamics via Maxwell's conjecture	1
Landscape of wave focusing and localization at low frequencies	1
A free boundary problem with resource‐dependent motility in a weak heterogeneous environment	1
Turing bifurcation in activator–inhibitor (depletion) models with cross‐diffusion and nonlocal terms	1
Symmetry Analysis of the Two‐Dimensional Stationary Magnetogasdynamics Equations With Coriolis Force in Lagrangian Coordinates	1
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General boundary conditions for a Boussinesq model with varying bathymetry	1
Higher dimensional generalizations of the chiral field equations	0
Systematic construction of nonautonomous Hamiltonian equations of Painlevé type. I. Frobenius integrability	0
Asymptotic approximation of a highly oscillatory integral with application to the canonical catastrophe integrals	0
Asymptotic distribution of the eigenvalues of the bending‐torsion vibration model with fully nondissipative boundary feedback	0
An Integrable Two‐Component Degasperis–Procesi Equation	0
Rogue waves in the massive Thirring model	0
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Backward bifurcation and permanence of a disease‐severity‐structured epidemic model with treatment	0
Differential preferences for RBCs is key for Plasmodium species evolutionary diversity within human host	0
Completely resonant collision of lumps and line solitons in the Kadomtsev–Petviashvili I equation	0
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Instability of near‐extreme solutions to the Whitham equation	0
Modeling Mosquito Population Suppression Using Beverton–Holt Offspring Survival Probability	0