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
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A Decompositional Approach for Two‐Dimensional, Two‐Phase, Nonlinear Inverse Stefan Problems Using the Method of Fundamental Solutions	25
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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
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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
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Solving a Singular Limit Problem Arising With Euler–Korteweg Dispersive Waves	13
Invariant Manifolds in a Class‐Structured Model From Adaptive Dynamics	13
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

From primary HPV infection to carcinoma in situ: A mathematical approach to cervical intraepithelial neoplasia	12
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
The KP limit of a reduced quantum Euler–Poisson equation	11
Revivals, or the Talbot effect, for the Airy equation	11
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
Some exact and approximate solutions to a generalized Maxwell–Cattaneo 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
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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
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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
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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
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Transverse spectral instabilities in Konopelchenko–Dubrovsky equation	7
Spectral and linear stability of peakons in the Novikov equation	7
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
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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
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
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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Asymptotic profiles of a spatial vector‐borne disease model with Fokker–Planck‐type diffusion	5
Multisoliton interactions approximating the dynamics of breather solutions	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
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The Darboux Matrices With a Single Multiple Pole and Their Applications	5
Asymptotics of the deformed Fredholm determinant of the confluent hypergeometric kernel	5
Tau‐function formulation for bright, dark soliton and breather solutions to the massive Thirring model	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
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Pattern Formation and Nonlinear Waves Close to a 1:1 Resonant Turing and Turing–Hopf Instability	5
Well‐Posedness and Pattern Formation in a Two‐Species Reaction–Diffusion System with Nonlocal Perception	5
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
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
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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
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Some Properties of Zeros of the Umemura Polynomials of the Fifth Painlevé Equation	4
A Theory of Generalized Coordinates for Stochastic Differential Equations	4
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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
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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
Riemann problems for generalized gas dynamics	3
Numerical study of the Amick–Schonbek system	3
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
Asymptotics of solutions to periodic problem for the Korteweg–de Vries–Burgers equation	3
Determinantal approach to multiple orthogonal polynomials and the corresponding integrable equations	3
Random dynamics and limiting behaviors for 3D globally modified Navier–Stokes equations driven by colored noise	3
Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation	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
Dynamics Analysis for Diffusive Resource‐Consumer Model With Nonlocal Discrete Memory	3
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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
Elastodynamical resonances and cloaking of negative material structures beyond quasistatic approximation	3
Numerical Study of a Nonlocal Nonlinear Schrödinger Equation (MMT Model)	3
Analytical and numerical solutions for the boundary layer flow and heat transfer over a moving wedge in Casson fluid	3
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Multidomain spectral approach to rational‐order fractional derivatives	3
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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
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Stochastic Multisymplectic PDEs and Their Structure‐Preserving Numerical Methods	3
Numerical Study of Transverse (In‐)Stability of Solitary Waves in the Cubic–Quintic Nonlinear Schrödinger Equation	3
Spectral Jacobi approximations for Boussinesq systems	3
On a Bistable Delayed Nonlinear Reaction–Diffusion Equation for a Two‐Phase Free Boundary: Semi‐Wave and Its Numerical Simulation	3
Spectral analysis of a viscoelastic tube conveying fluid with generalized boundary conditions	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
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Bifurcation Analysis of a Resource–Consumer System With Explicit Spatiotemporal Memory	2
Steady Boussinesq convection: Parametric analyticity and computation	2
Windowed Green function method for wave scattering by periodic arrays of 2D obstacles	2
Alexseev–Gröbner Formula and Asymptotic Phase‐Locking of Kuramoto Ensembles With Inertia and Frustration	2
Inversion of the two‐data circular Radon transform centered on a curve on C(R2)${\cal C}(\mathbf {R}^2)$	2
Stability of Standing Periodic Waves in the Massive Thirring Model	2
Geometrical correspondence of the Miura transformation induced from affine Kac–Moody algebras	2
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Heterogeneously Structured Compartmental Models of Epidemiological Systems: From Individual‐Level Processes to Population‐Scale Dynamics	2
Hungry Lotka–Volterra lattice under nonzero boundaries, block‐Hankel determinant solution, and biorthogonal polynomials	2
Isolated periodic traveling waves of some reaction convection diffusion equations	2
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On Standing Waves of 1D Nonlinear Schrödinger Equation With Triple Power Nonlinearity	2
Muskat–Leverett Two‐Phase Flow in Thin Cylindric Porous Media: Asymptotic Approach	2
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Orthogonal Laurent Polynomials of Two Real Variables	2
Coherent Structures in Long‐Range FPUT Lattices, Part I: Solitary Waves	2
Integrable Boundary Conditions for the Nonlinear Schrödinger Hierarchy Via the Fokas Method	2
The Periodic Wave Solution and Riemann Problem for the Modified Benjamin–Bona–Mahony Equation	2
The coupled Hirota equations with a 3×3$3\times 3$ Lax pair: Painlevé‐type asymptotics in transition zone	2
Maxwell Fronts in the Discrete Nonlinear Schrödinger Equations With Competing Nonlinearities	2
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Whitham modulation theory for the Zakharov–Kuznetsov equation and stability analysis of its periodic traveling wave solutions	2
Two‐phase magma flow with phase exchange: Part I. Physical modeling of a volcanic conduit	2
Dispersive Revival Phenomena for Two‐Dimensional Dispersive Evolution Equations	2
Large Deviation Principles of Fractional Stochastic Nonclassical Diffusion Equations on Unbounded Domains	2
The elliptical vortices, integrable Ermakov structure, Schrödinger connection, and Lax pair in the compressible Navier–Stokes equation	2
From the AKNS system to the matrix Schrödinger equation with vanishing potentials: Direct and inverse problems	2
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Turing Instability and Dynamic Bifurcation for the One‐Dimensional Gray–Scott Model	2
Global existence and the time decay estimates of solutions to the compressible quantum Navier–Stokes–Maxwell system in R3$\mathbb {R}^3$	2
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Singularity formation for the relativistic Euler equations of Chaplygin gases in Schwarzschild spacetime	2
Stability of bound states for regularized nonlinear Schrödinger equations	2
Two‐Dimensional Fractional Discrete Nonlinear Schrödinger Equations: Dispersion Relations, Rogue Waves, Fundamental, and Vortex Solitons	2
Weak KAM Theory for Modified Korteweg‐de Vries Equations	2
The Riemann–Hilbert approach for the integrable fractional Fokas–Lenells equation	2
Rogue wave patterns associated with Okamoto polynomial hierarchies	2
Viability of circle and sphere theorems in potential theory and hydrodynamics via Maxwell's conjecture	2
Analysis and Simulation of an Improved Fast Two‐Grid Mixed Element Method for a Nonlinear Time Fractional Pseudo‐Hyperbolic Equation	2
A Design of an Axisymmetric Roof With a Horizontal Rotation Axis	2
Global Dynamics of Predator–Prey Systems With Antipredation Strategy in Open Advective Environments	2
Mathematical Modeling and Analysis of Atherosclerosis Based on Fluid‐Multilayered Poroelastic Structure Interaction Model	2
Weakly Compressible Approximation of the Taylor–Green Vortex Solution	2
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A Mathematical Model for Neuron Reorientation and Axonal Growth on a Cyclically Stretched Substrate	2
David J. Kaup and Boson Stars	2
Asymptotic Target Tracking in Discontinuous Dynamical Systems: Applications of Filippov's Inclusion Framework	2
Rational solutions of the fifth Painlevé equation. Generalized Laguerre polynomials	1
Asymptotic Expansions for Solutions of Differential Equations Having Coalescing Turning Points, With an Application to Legendre Functions	1
Using Multidelay Discrete Delay Differential Equations to Accurately Simulate Models With Distributed Delays	1
Classification of spatial dynamics of a vector–host epidemic model in advective heterogeneous environment	1
Periodic Solutions for the Semilinear Euler–Bernoulli Beam Equation With Hinged and Elastically Fixed Ends	1
Long‐Time Asymptotics for the Modified Camassa–Holm Positive Flow With the Schwartz Initial Data	1
Riemann–Hilbert Approach for the Hirota–Satsuma Coupled KdV System	1
Angular traveling waves of the high‐dimensional Boussinesq equation	1
Dynamics of a nonlocal dispersal in‐host viral model with humoral immunity	1
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Mathematical Theory on Multi‐Layered High‐Contrast Acoustic Subwavelength Resonators	1
Near‐optimal control of a stochastic model for mountain pine beetles with pesticide application	1
Global Existence of Solutions to a Chemotaxis System With Nonlinear Neumann Boundary Condition	1
On the linearized system of equations for the condensate–normal fluid interaction at very low temperature	1
KP reductions and various soliton solutions to the Fokas–Lenells equation under nonzero boundary condition	1
Global dynamics and spatiotemporal patterns of a two‐species chemotaxis system with chemical signaling loop and Lotka–Volterra competition	1
Global Solvability for 3D Incompressible Inhomogeneous Micropolar System in Critical Spaces	1
Backward bifurcation and permanence of a disease‐severity‐structured epidemic model with treatment	1
Stability of fronts in the diffusive Rosenzweig–MacArthur model	1
Long‐time asymptotics of solution for the fifth‐order modified KdV equation in the presence of discrete spectrum	1
On the Whitham system for the (2+1)‐dimensional nonlinear Schrödinger equation	1
Asymptotic distribution of the eigenvalues of the bending‐torsion vibration model with fully nondissipative boundary feedback	1
Rarefaction Wave Interaction and Existence of a Global Smooth Solution in the Blood Flow Model With Time‐Dependent Body Force	1
Numerical Method for the Diffusion‐Wave Equation With Time Fractional ψ$\psi$‐Caputo Derivative	1
Preface to the Special Issue “Advances in the Mathematics and Physics of Solitons in Memory of David Kaup”	1
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Periodic Vibrations of the Nonhomogeneous Strings With Linear and Nonlinear Couplings	1
A Front‐Fixing Numerical Method for a Free‐Boundary Nonlocal Diffusion Logistic Model	1
The Dimension of the Disguised Toric Locus of a Reaction Network	1
Explicit exact solutions for plane shock waves in dilute polyatomic gases	1
Epidemic dynamics and spatial segregation driven by cognitive diffusion and nonlinear incidence	1
Orthogonal polynomials on domains of revolution	1