Studies in Applied Mathematics

Article	Citations
	56
Asymptotic Properties of Special Function Solutions of the Painlevé III Equation for Fixed Parameters	48
	42
Well‐posedness of generalized KdV and one‐dimensional fourth‐order derivative nonlinear Schrödinger equations for data with an infinite L2 norm	42
Global Dynamics of a Partially Degenerate Nonlocal Model for Mosquito‐Borne Disease Transmission	39
A New Transformation for the Subcritical Fast Diffusion Equation With Source and Applications	28
Large‐time asymptotics to the focusing nonlocal modified Kortweg‐de Vries equation with step‐like boundary conditions	27
Riemann–Hilbert method to the Ablowitz–Ladik equation: Higher‐order cases	26
A Decompositional Approach for Two‐Dimensional, Two‐Phase, Nonlinear Inverse Stefan Problems Using the Method of Fundamental Solutions	26
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A boundary layer problem in nonflat domains with measurable viscous coefficients	23
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Asymptotics of polynomials orthogonal with respect to a generalized Freud weight with application to special function solutions of Painlevé‐IV	19
Asymptotic spatial behavior for the heat equation on noncompact regions	19
Exact Periodic Solutions of the Generalized Constantin–Lax–Majda Equation With Dissipation	17
Higher‐order integrable models for oceanic internal wave–current interactions	15
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Global Well‐Posedness and Large Time Behavior of Boussinesq Equations With Fractional Dissipation	14
MNLS and Generalized Fourier Transforms for Constant Boundary Conditions	13
Solving a Singular Limit Problem Arising With Euler–Korteweg Dispersive Waves	13
Invariant Manifolds in a Class‐Structured Model From Adaptive Dynamics	13
The multi elliptic‐localized solutions and their asymptotic behaviors for the mKdV equation	12

Global dynamics of a two‐stage structured diffusive population model in time‐periodic and spatially heterogeneous environments	12
Properties of given and detected unbounded solutions to a class of chemotaxis models	12
Inverse scattering transform for the two‐component Gerdjikov–Ivanov equation with nonzero boundary conditions: Dark‐dark solitons	11
Revivals, or the Talbot effect, for the Airy equation	11
Weak Solutions and Simulations for a Generalized Phase‐Field Crystal Model With Neumann Boundary Conditions	11
From primary HPV infection to carcinoma in situ: A mathematical approach to cervical intraepithelial neoplasia	11
Some exact and approximate solutions to a generalized Maxwell–Cattaneo equation	11
The KP limit of a reduced quantum Euler–Poisson equation	10
Asymptotic Decay of Solitary Wave Solutions of the Fractional Nonlinear Schrödinger Equation	10
Turing bifurcation in activator–inhibitor (depletion) models with cross‐diffusion and nonlocal terms	10
Hyperbolicity study of the modulation equations for the Benjamin–Bona–Mahony equation	10
Inversion formula for an integral geometry problem over surfaces of revolution	9
Hamiltonian mechanics of “magnetic” solitons in two‐component Bose–Einstein condensates	9
Mass and spring dimer Fermi–Pasta–Ulam–Tsingou nanopterons with exponentially small, nonvanishing ripples	9
The Initial‐Boundary Value Problem of Klein–Gordon Equation on the Half‐Line	9
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Preface: Modeling Wave Propagation: Mathematical Theory and Numerical Analysis, in Memory of Prof. Vassilios Dougalis	8
Exotic wave patterns in Riemann problem of the high‐order Jaulent–Miodek equation: Whitham modulation theory	8
Oscillatory and regularized shock waves for a modified Serre–Green–Naghdi system	8
Spatiotemporal Dynamics of a Delayed Diffusive Single‐Species Model in Closed Advective Environments	8
General boundary conditions for a Boussinesq model with varying bathymetry	8
An analytical and numerical study of the Diaz–Solovchuk–Sheu acoustic model: How does it compare with Blackstock's in approximating the Euler system?	8
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Initial boundary value problem for a class of wave equations of Hartree type	8
Dynamics for a Diffusive Epidemic Model With a Free Boundary: Spreading Speed	7
Extending Slow Manifolds to Nonhyperbolic Points in Planar Singularly Perturbed Systems When Linearly Slow Flow Has No Directions	7
An Explicit Construction of Kaleidocycles by Elliptic Theta Functions	7
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Spatiotemporal dynamics in a twisted, circular waveguide array	7
Transverse spectral instabilities in Konopelchenko–Dubrovsky equation	7
Spectral and linear stability of peakons in the Novikov equation	7
Anomalous Scattering of Lumps and Interaction of Lump Chains in the Modified Kadomtsev–Petviashvili‐I Equation	7
Analytic shock‐fronted solutions to a reaction–diffusion equation with negative diffusivity	7
Stokes flow solutions in infinite and semi‐infinite porous channels	7
The Riemann Problem for the Flow Pattern in Deviated Pipes Carrying Isentropic Two‐Phase Flows	7
Global Dynamics of a Fear‐Induced Predator–Prey Model With Age Structure and Advection	7
The degenerate hyperbolic problem for the two‐dimensional nonlinear wave system	7
One class of MHD equations: Conservation laws and exact solutions	7
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Asymptotic Expansions for Solutions of Differential Equations Having a Coalescing Turning Point and Double Pole, With an Application to Legendre Functions	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
Existence of solutions to gas expansion problem through a sharp corner for 2‐D Euler equations with general equation of state	6
Matrix‐Valued Cauchy Bi‐Orthogonal Polynomials and a Novel Noncommutative Integrable Lattice	6
Tau‐function formulation for bright, dark soliton and breather solutions to the massive Thirring model	6
Stationary coupled KdV systems and their Stäckel representations	6
Coupled Electromagnetic Wave Propagation in A Waveguide With Nonlinear Permittivity: Nonlinear Perturbation Approach And Existence of Nonlinearizable Solutions	6
Approximating a Spatially‐Heterogeneously Mass‐Emitting Object by Multiple Point Sources in a Diffusion Model	6
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Pattern Formation and Nonlinear Waves Close to a 1:1 Resonant Turing and Turing–Hopf Instability	6
Spreading Properties of Partially Degenerate Diffusive Systems in Shifting Environments	6
Traveling Viral Waves for a Spatial May–Nowak Model with Hybrid Local and Nonlocal Dispersal	6
Evolution of Dispersal in Open Advective Patchy Environments	6
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Nonintegrability of the Painlevé IV equation in the Liouville–Arnold sense and Stokes phenomena	6
Multisoliton interactions approximating the dynamics of breather solutions	6
Asymptotic profiles of a spatial vector‐borne disease model with Fokker–Planck‐type diffusion	5
Trigonometric Krätzel Functions: Properties, Integral Transforms, and Applications in Diffraction Phenomena	5
The Darboux Matrices With a Single Multiple Pole and Their Applications	5
Asymptotics of the deformed Fredholm determinant of the confluent hypergeometric kernel	5
Kirillov structures and reduction of Hamiltonian systems by scaling and standard symmetries	5
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N Double‐Pole Solutions of the Matrix‐Type Nonlinear Schrödinger Equation Under Zero and Nonzero Boundary Conditions	5
Discrete Infinite‐Agent Cucker–Smale Flocking Under Fixed and Switching Digraphs	5
Perturbed conformal invariance and Mei adiabatic invariants of the generalized perturbed Hamiltonian systems with additional terms	5
Orthogonal polynomials on a class of planar algebraic curves	5
A stochastic model for malaria and its behavior under insecticide‐treated nets	5
Propagation Phenomena of a Time‐Periodic Leslie–Gower Predator–Prey System With Nonlocal Dispersal in Shifting Habitats	5
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Well‐Posedness and Pattern Formation in a Two‐Species Reaction–Diffusion System with Nonlocal Perception	5
Planar Schrödinger–Poisson system with exponential critical growth: Local well‐posedness and standing waves with prescribed mass	5
Spatial Movement With Explicit Memory and Nonlocal Pregnancy Delay	5
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Soliton interactions and Yang–Baxter maps for the complex coupled short‐pulse equation	4
Hypersonic Similarity Law For Steady Compressible Euler Flows Past Slender Bodies Within the Framework of Radon Measure Solutions	4
The Maximal Lyapunov Exponent of a Stochastic Bautin Bifurcation System	4
A free boundary problem with resource‐dependent motility in a weak heterogeneous environment	4
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Exponentially localized interface eigenmodes in finite chains of resonators	4
A Lagrangian for Compressible Flow Focusing on Dissipation due to Thermal Conduction	4
Dynamics of 2D fluid in bounded domain via conformal variables	4
Roughness‐induced effects on the thermomicropolar fluid flow through a thin domain	4
Singularities in Steady Axisymmetric Euler Flows With Swirl	4
Spatiotemporal Dynamics Induced by Intermediate Predator Diffusion and Spatial Heterogeneity in Food‐Chain Models	4
A Seamless Local‐Nonlocal Coupling Diffusion Model With H 1 Vanishing Nonlocality Convergence	4
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Affine Solutions to the Compressible Euler Equations With Time‐Dependent Damping and Free Boundary	4
Classical Multiple Orthogonal Polynomials for Arbitrary Number of Weights and Their Explicit Representation	4
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An Effective Level Set Method With Molecular Beam Epitaxy Regularization for Color‐Texture Image Segmentation	4
Large‐Time Existence and Decay of Entropy Solutions for Unsteady Isentropic Gas Flow in the Quasi‐One‐Dimensional Nozzle	4
Emergence of Well‐Ordering and Clustering for a First‐Order Nonlinear Consensus Model	4
On the N ‐Elliptic Localized Wave Solutions to the Derivative Nonlinear Schrödinger Equation and Their Asymptotic Analysis	4
On the Evolution of Relativistic Dust in Schwarzschild–de Sitter and Schwarzschild–Anti‐de Sitter Spacetimes. Part I: The Vanishing Mass Case	4
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A Theory of Generalized Coordinates for Stochastic Differential Equations	4
In Search of Rogue Waves: A Novel Proposal Distribution for Parallelized Rejection Sampling of the Truncated KdV Gibbs Measure	4
Numerical Approaches in Nonlinear Fourier Transform‐Based Signal Processing for Telecommunications	4
A modern concept of Lagrangian hydrodynamics	4
Hydrodynamics of a discrete conservation law	4
Some Properties of Zeros of the Umemura Polynomials of the Fifth Painlevé Equation	3
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Dynamical analysis of a degenerate and time delayed virus infection model with spatial heterogeneity	3
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Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation	3
Elastodynamical resonances and cloaking of negative material structures beyond quasistatic approximation	3
Pullback Attractors for Nonclassical Diffusion Equations With a Delay Operator	3
Large x$x$ Asymptotics of the Soliton Gas for the Nonlinear Schrödinger Equation	3
Study of optimal subalgebras, invariant solutions, and conservation laws for a Verhulst biological population model	3
Dynamics Analysis for Diffusive Resource‐Consumer Model With Nonlocal Discrete Memory	3
Concentric‐Ring Patterns of Higher‐Order Lumps in the Kadomtsev–Petviashvili I Equation	3
Forest fire spreading: A nonlinear stochastic model continuous in space and time	3
Laguerre–Freud equations for three families of hypergeometric discrete orthogonal polynomials	3
Riemann problems for generalized gas dynamics	3
Spectral analysis of a viscoelastic tube conveying fluid with generalized boundary conditions	3
Nonconstant steady states and pattern formations of generalized 1D cross‐diffusion systems with prey‐taxis	3
Asymptotics of solutions to periodic problem for the Korteweg–de Vries–Burgers equation	3
The effects of viscosity on the linear stability of damped Stokes waves, downshifting, and rogue wave generation	3
Impact of mixed boundary conditions and nonsmooth data on layer‐originated nonpremixed combustion problems: Higher‐order convergence analysis	3
Analytical and numerical solutions for the boundary layer flow and heat transfer over a moving wedge in Casson fluid	3
Stability of the Inverse Sturm–Liouville Problem on a Quantum Tree	3
Multidomain spectral approach to rational‐order fractional derivatives	3
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Numerical study of the Amick–Schonbek system	3
Nonlinearizable solutions in an eigenvalue problem for Maxwell's equations with nonhomogeneous nonlinear permittivity in a layer	3
N$N$‐Soliton Matrix mKdV Solutions: Some Special Solutions Revisited	3
Soliton Solutions Associated With a Class of Third‐Order Ordinary Linear Differential Operators	3
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Complete classification of local conservation laws for generalized Cahn–Hilliard–Kuramoto–Sivashinsky equation	3
Spectral Jacobi approximations for Boussinesq systems	3
Augmented Total Variation Regularization in Radon‐Type Inverse Problems	3
Stochastic Multisymplectic PDEs and Their Structure‐Preserving Numerical Methods	3
Random dynamics and limiting behaviors for 3D globally modified Navier–Stokes equations driven by colored noise	3
On a Bistable Delayed Nonlinear Reaction–Diffusion Equation for a Two‐Phase Free Boundary: Semi‐Wave and Its Numerical Simulation	3
Numerical Study of Transverse (In‐)Stability of Solitary Waves in the Cubic–Quintic Nonlinear Schrödinger Equation	3
Predator–prey systems with a variable habitat for predators in advective environments	3
Numerical Study of a Nonlocal Nonlinear Schrödinger Equation (MMT Model)	3
Determinantal approach to multiple orthogonal polynomials and the corresponding integrable equations	3
Degenerate Cauchy–Goursat problem for 2‐D steady isentropic Euler system with van der Waals gas	3
Multiple orthogonal polynomials associated with the exponential integral	3
Landscape of wave focusing and localization at low frequencies	3