Studies in Applied Mathematics

Article	Citations
	52
Asymptotic Properties of Special Function Solutions of the Painlevé III Equation for Fixed Parameters	46
	42
Well‐posedness of generalized KdV and one‐dimensional fourth‐order derivative nonlinear Schrödinger equations for data with an infinite L2 norm	39
Global Dynamics of a Partially Degenerate Nonlocal Model for Mosquito‐Borne Disease Transmission	38
A New Transformation for the Subcritical Fast Diffusion Equation With Source and Applications	27
Riemann–Hilbert method to the Ablowitz–Ladik equation: Higher‐order cases	25
Large‐time asymptotics to the focusing nonlocal modified Kortweg‐de Vries equation with step‐like boundary conditions	25
Issue Information‐TOC	25
A Decompositional Approach for Two‐Dimensional, Two‐Phase, Nonlinear Inverse Stefan Problems Using the Method of Fundamental Solutions	25
	23
A boundary layer problem in nonflat domains with measurable viscous coefficients	23
Issue Information‐TOC	21
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
Issue Information‐TOC	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
Global Well‐Posedness and Large Time Behavior of Boussinesq Equations With Fractional Dissipation	14
	14
	14
Solving a Singular Limit Problem Arising With Euler–Korteweg Dispersive Waves	13
Invariant Manifolds in a Class‐Structured Model From Adaptive Dynamics	13
From primary HPV infection to carcinoma in situ: A mathematical approach to cervical intraepithelial neoplasia	12
Global dynamics of a two‐stage structured diffusive population model in time‐periodic and spatially heterogeneous environments	12

Inverse scattering transform for the two‐component Gerdjikov–Ivanov equation with nonzero boundary conditions: Dark‐dark solitons	12
The KP limit of a reduced quantum Euler–Poisson equation	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
Properties of given and detected unbounded solutions to a class of chemotaxis models	11
MNLS and Generalized Fourier Transforms for Constant Boundary Conditions	11
The multi elliptic‐localized solutions and their asymptotic behaviors for the mKdV equation	11
Some exact and approximate solutions to a generalized Maxwell–Cattaneo equation	10
Asymptotic Decay of Solitary Wave Solutions of the Fractional Nonlinear Schrödinger Equation	10
Issue Information‐TOC	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
General boundary conditions for a Boussinesq model with varying bathymetry	9
Initial boundary value problem for a class of wave equations of Hartree type	9
Inversion formula for an integral geometry problem over surfaces of revolution	9
Hamiltonian mechanics of “magnetic” solitons in two‐component Bose–Einstein condensates	9
Extending Slow Manifolds to Nonhyperbolic Points in Planar Singularly Perturbed Systems When Linearly Slow Flow Has No Directions	8
Issue Information‐TOC	8
Mass and spring dimer Fermi–Pasta–Ulam–Tsingou nanopterons with exponentially small, nonvanishing ripples	8
The Riemann Problem for the Flow Pattern in Deviated Pipes Carrying Isentropic Two‐Phase Flows	8
Exotic wave patterns in Riemann problem of the high‐order Jaulent–Miodek equation: Whitham modulation theory	8
Preface: Modeling Wave Propagation: Mathematical Theory and Numerical Analysis, in Memory of Prof. Vassilios Dougalis	8
Oscillatory and regularized shock waves for a modified Serre–Green–Naghdi system	8
The Initial‐Boundary Value Problem of Klein–Gordon Equation on the Half‐Line	8
Transverse spectral instabilities in Konopelchenko–Dubrovsky equation	7
Spectral and linear stability of peakons in the Novikov equation	7
	7
Spatiotemporal Dynamics of a Delayed Diffusive Single‐Species Model in Closed Advective Environments	7
Anomalous Scattering of Lumps and Interaction of Lump Chains in the Modified Kadomtsev–Petviashvili‐I Equation	7
Global Dynamics of a Fear‐Induced Predator–Prey Model With Age Structure and Advection	7
Rigorous justification of the Whitham modulation equations for equations of Whitham type	7
The degenerate hyperbolic problem for the two‐dimensional nonlinear wave system	7
	7
Dynamics for a Diffusive Epidemic Model With a Free Boundary: Spreading Speed	7
An analytical and numerical study of the Diaz–Solovchuk–Sheu acoustic model: How does it compare with Blackstock's in approximating the Euler system?	7
Issue Information‐TOC	7
	7
Nonintegrability of the Painlevé IV equation in the Liouville–Arnold sense and Stokes phenomena	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
Stokes flow solutions in infinite and semi‐infinite porous channels	6
Stationary coupled KdV systems and their Stäckel representations	6
	6
Evolution of Dispersal in Open Advective Patchy Environments	6
One class of MHD equations: Conservation laws and exact solutions	6
Coupled Electromagnetic Wave Propagation in A Waveguide With Nonlinear Permittivity: Nonlinear Perturbation Approach And Existence of Nonlinearizable Solutions	6
Traveling Viral Waves for a Spatial May–Nowak Model with Hybrid Local and Nonlocal Dispersal	6
Preface: Integrable systems and their applications, celebrating the 70th birthday of Athanassios S. Fokas	6
Approximating a Spatially‐Heterogeneously Mass‐Emitting Object by Multiple Point Sources in a Diffusion Model	6
Analytic shock‐fronted solutions to a reaction–diffusion equation with negative diffusivity	6

Spatiotemporal dynamics in a twisted, circular waveguide array	6
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
	5
Multisoliton interactions approximating the dynamics of breather solutions	5
Asymptotic profiles of a spatial vector‐borne disease model with Fokker–Planck‐type diffusion	5
Matrix‐Valued Cauchy Bi‐Orthogonal Polynomials and a Novel Noncommutative Integrable Lattice	5
Orthogonal polynomials on a class of planar algebraic curves	5
A stochastic model for malaria and its behavior under insecticide‐treated nets	5
Asymptotics of the deformed Fredholm determinant of the confluent hypergeometric kernel	5
	5
Tau‐function formulation for bright, dark soliton and breather solutions to the massive Thirring model	5
The Darboux Matrices With a Single Multiple Pole and Their Applications	5
Perturbed conformal invariance and Mei adiabatic invariants of the generalized perturbed Hamiltonian systems with additional terms	5
Discrete Infinite‐Agent Cucker–Smale Flocking Under Fixed and Switching Digraphs	5
Kirillov structures and reduction of Hamiltonian systems by scaling and standard symmetries	5
Pattern Formation and Nonlinear Waves Close to a 1:1 Resonant Turing and Turing–Hopf Instability	5
	5
Well‐Posedness and Pattern Formation in a Two‐Species Reaction–Diffusion System with Nonlocal Perception	5
An Effective Level Set Method With Molecular Beam Epitaxy Regularization for Color‐Texture Image Segmentation	4
Exponentially localized interface eigenmodes in finite chains of resonators	4
Issue Information‐TOC	4
	4
A free boundary problem with resource‐dependent motility in a weak heterogeneous environment	4
Numerical Approaches in Nonlinear Fourier Transform‐Based Signal Processing for Telecommunications	4
Affine Solutions to the Compressible Euler Equations With Time‐Dependent Damping and Free Boundary	4
Dynamics of 2D fluid in bounded domain via conformal variables	4
Soliton interactions and Yang–Baxter maps for the complex coupled short‐pulse equation	4
Roughness‐induced effects on the thermomicropolar fluid flow through a thin domain	4
Propagation Phenomena of a Time‐Periodic Leslie–Gower Predator–Prey System With Nonlocal Dispersal in Shifting Habitats	4
Hydrodynamics of a discrete conservation law	4
Issue Information‐TOC	4
Some Properties of Zeros of the Umemura Polynomials of the Fifth Painlevé Equation	4
A Theory of Generalized Coordinates for Stochastic Differential Equations	4
Issue Information‐TOC	4
A Lagrangian for Compressible Flow Focusing on Dissipation due to Thermal Conduction	4
In Search of Rogue Waves: A Novel Proposal Distribution for Parallelized Rejection Sampling of the Truncated KdV Gibbs Measure	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
Trigonometric Krätzel Functions: Properties, Integral Transforms, and Applications in Diffraction Phenomena	4
N Double‐Pole Solutions of the Matrix‐Type Nonlinear Schrödinger Equation Under Zero and Nonzero Boundary Conditions	4
Singularities in Steady Axisymmetric Euler Flows With Swirl	4
On the Evolution of Relativistic Dust in Schwarzschild–de Sitter and Schwarzschild–Anti‐de Sitter Spacetimes. Part I: The Vanishing Mass Case	4
Landscape of wave focusing and localization at low frequencies	4
Issue Information‐TOC	4
Classical Multiple Orthogonal Polynomials for Arbitrary Number of Weights and Their Explicit Representation	4
A Seamless Local‐Nonlocal Coupling Diffusion Model With H 1 Vanishing Nonlocality Convergence	4
A modern concept of Lagrangian hydrodynamics	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
On the N ‐Elliptic Localized Wave Solutions to the Derivative Nonlinear Schrödinger Equation and Their Asymptotic Analysis	4
Study of optimal subalgebras, invariant solutions, and conservation laws for a Verhulst biological population model	3
Tropical Geometry Based Edge Detection Using Min‐Plus and Max‐Plus Algebra	3
Rogue waves in the massive Thirring model	3
Determinantal approach to multiple orthogonal polynomials and the corresponding integrable equations	3
Asymptotics of solutions to periodic problem for the Korteweg–de Vries–Burgers equation	3
Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation	3
Random dynamics and limiting behaviors for 3D globally modified Navier–Stokes equations driven by colored noise	3
Large x$x$ Asymptotics of the Soliton Gas for the Nonlinear Schrödinger Equation	3
Pullback Attractors for Nonclassical Diffusion Equations With a Delay Operator	3
Dynamics Analysis for Diffusive Resource‐Consumer Model With Nonlocal Discrete Memory	3
Issue Information‐TOC	3
Stability of the Inverse Sturm–Liouville Problem on a Quantum Tree	3
Soliton Solutions Associated With a Class of Third‐Order Ordinary Linear Differential Operators	3
Concentric‐Ring Patterns of Higher‐Order Lumps in the Kadomtsev–Petviashvili I Equation	3
Nonconstant steady states and pattern formations of generalized 1D cross‐diffusion systems with prey‐taxis	3
Dynamical analysis of a degenerate and time delayed virus infection model with spatial heterogeneity	3
The effects of viscosity on the linear stability of damped Stokes waves, downshifting, and rogue wave generation	3
Augmented Total Variation Regularization in Radon‐Type Inverse Problems	3
Numerical Study of a Nonlocal Nonlinear Schrödinger Equation (MMT Model)	3
Elastodynamical resonances and cloaking of negative material structures beyond quasistatic approximation	3
	3
Analytical and numerical solutions for the boundary layer flow and heat transfer over a moving wedge in Casson fluid	3
	3
Multidomain spectral approach to rational‐order fractional derivatives	3
Complete classification of local conservation laws for generalized Cahn–Hilliard–Kuramoto–Sivashinsky equation	3
Degenerate Cauchy–Goursat problem for 2‐D steady isentropic Euler system with van der Waals gas	3
N$N$‐Soliton Matrix mKdV Solutions: Some Special Solutions Revisited	3
Nonlinearizable solutions in an eigenvalue problem for Maxwell's equations with nonhomogeneous nonlinear permittivity in a layer	3
Impact of mixed boundary conditions and nonsmooth data on layer‐originated nonpremixed combustion problems: Higher‐order convergence analysis	3

Symmetries of the DΔmKP hierarchy and their continuum limits	3
Issue Information‐TOC	3
Stochastic Multisymplectic PDEs and Their Structure‐Preserving Numerical Methods	3
Spectral Jacobi approximations for Boussinesq systems	3
Numerical Study of Transverse (In‐)Stability of Solitary Waves in the Cubic–Quintic Nonlinear Schrödinger Equation	3
Spectral analysis of a viscoelastic tube conveying fluid with generalized boundary conditions	3
On a Bistable Delayed Nonlinear Reaction–Diffusion Equation for a Two‐Phase Free Boundary: Semi‐Wave and Its Numerical Simulation	3
Laguerre–Freud equations for three families of hypergeometric discrete orthogonal polynomials	3
Predator–prey systems with a variable habitat for predators in advective environments	3
Forest fire spreading: A nonlinear stochastic model continuous in space and time	3
Multiple orthogonal polynomials associated with the exponential integral	3
Riemann problems for generalized gas dynamics	3
Numerical study of the Amick–Schonbek system	3