Studies in Applied Mathematics

Article	Citations
	67
Asymptotic Properties of Special Function Solutions of the Painlevé III Equation for Fixed Parameters	55
	50
Global Dynamics of a Partially Degenerate Nonlocal Model for Mosquito‐Borne Disease Transmission	45
A Decompositional Approach for Two‐Dimensional, Two‐Phase, Nonlinear Inverse Stefan Problems Using the Method of Fundamental Solutions	28
Riemann–Hilbert method to the Ablowitz–Ladik equation: Higher‐order cases	28
Well‐posedness of generalized KdV and one‐dimensional fourth‐order derivative nonlinear Schrödinger equations for data with an infinite L2 norm	28
A New Transformation for the Subcritical Fast Diffusion Equation With Source and Applications	28
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Large‐time asymptotics to the focusing nonlocal modified Kortweg‐de Vries equation with step‐like boundary conditions	24
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A boundary layer problem in nonflat domains with measurable viscous coefficients	20
Asymptotics of polynomials orthogonal with respect to a generalized Freud weight with application to special function solutions of Painlevé‐IV	19
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Asymptotic spatial behavior for the heat equation on noncompact regions	17
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Global Well‐Posedness and Large Time Behavior of Boussinesq Equations With Fractional Dissipation	15
Invariant Manifolds in a Class‐Structured Model From Adaptive Dynamics	14
Global dynamics of a two‐stage structured diffusive population model in time‐periodic and spatially heterogeneous environments	14
Solving a Singular Limit Problem Arising With Euler–Korteweg Dispersive Waves	14
From primary HPV infection to carcinoma in situ: A mathematical approach to cervical intraepithelial neoplasia	13
The multi elliptic‐localized solutions and their asymptotic behaviors for the mKdV equation	13

Properties of given and detected unbounded solutions to a class of chemotaxis models	12
Higher‐order integrable models for oceanic internal wave–current interactions	12
MNLS and Generalized Fourier Transforms for Constant Boundary Conditions	12
Exact Periodic Solutions of the Generalized Constantin–Lax–Majda Equation With Dissipation	12
Revivals, or the Talbot effect, for the Airy equation	12
Weak Solutions and Simulations for a Generalized Phase‐Field Crystal Model With Neumann Boundary Conditions	11
Inverse scattering transform for the two‐component Gerdjikov–Ivanov equation with nonzero boundary conditions: Dark‐dark solitons	11
Semiclassical Dynamics and Coherent Soliton Ensembles in the Derivative Nonlinear Schrödinger Equation With Periodic Initial Conditions	11
Existence of Solitary‐Wave‐Type Solutions for the Delayed NKdV‐2 Equation	11
Turing bifurcation in activator–inhibitor (depletion) models with cross‐diffusion and nonlocal terms	10
Inversion formula for an integral geometry problem over surfaces of revolution	10
Some exact and approximate solutions to a generalized Maxwell–Cattaneo equation	10
Hyperbolicity study of the modulation equations for the Benjamin–Bona–Mahony equation	10
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The KP limit of a reduced quantum Euler–Poisson equation	10
Mass and spring dimer Fermi–Pasta–Ulam–Tsingou nanopterons with exponentially small, nonvanishing ripples	10
Asymptotic Decay of Solitary Wave Solutions of the Fractional Nonlinear Schrödinger Equation	9
Hamiltonian mechanics of “magnetic” solitons in two‐component Bose–Einstein condensates	9
The Initial‐Boundary Value Problem of Klein–Gordon Equation on the Half‐Line	9
General boundary conditions for a Boussinesq model with varying bathymetry	9
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
Spatiotemporal Dynamics of a Delayed Diffusive Single‐Species Model in Closed Advective Environments	8
Oscillatory and regularized shock waves for a modified Serre–Green–Naghdi system	8
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The Riemann Problem for the Flow Pattern in Deviated Pipes Carrying Isentropic Two‐Phase Flows	8
Transverse spectral instabilities in Konopelchenko–Dubrovsky equation	8
Preface: Modeling Wave Propagation: Mathematical Theory and Numerical Analysis, in Memory of Prof. Vassilios Dougalis	8
Dynamics for a Diffusive Epidemic Model With a Free Boundary: Spreading Speed	8
Extending Slow Manifolds to Nonhyperbolic Points in Planar Singularly Perturbed Systems When Linearly Slow Flow Has No Directions	8
Spectral and linear stability of peakons in the Novikov equation	7
An Explicit Construction of Kaleidocycles by Elliptic Theta Functions	7
Rigorous Analytical Solution for the Linearized Whitham–Broer–Kaup System on the Half‐Line	7
Approximating a Spatially‐Heterogeneously Mass‐Emitting Object by Multiple Point Sources in a Diffusion Model	7
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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
Analytic shock‐fronted solutions to a reaction–diffusion equation with negative diffusivity	7
Stokes flow solutions in infinite and semi‐infinite porous channels	7
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The degenerate hyperbolic problem for the two‐dimensional nonlinear wave system	7
One class of MHD equations: Conservation laws and exact solutions	7
Stationary coupled KdV systems and their Stäckel representations	7
Evolution of Dispersal in Open Advective Patchy Environments	6
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Kirillov structures and reduction of Hamiltonian systems by scaling and standard symmetries	6
Traveling Viral Waves for a Spatial May–Nowak Model with Hybrid Local and Nonlocal Dispersal	6
Instability of near‐extreme solutions to the Whitham equation	6
Spreading Speed for a Vector‐Borne Disease System on Non‐Coincident Straight Infinite Cylinders	6
Nonintegrability of the Painlevé IV equation in the Liouville–Arnold sense and Stokes phenomena	6

Pattern Formation and Nonlinear Waves Close to a 1:1 Resonant Turing and Turing–Hopf Instability	6
Preface: Integrable systems and their applications, celebrating the 70th birthday of Athanassios S. Fokas	6
Existence of solutions to gas expansion problem through a sharp corner for 2‐D Euler equations with general equation of state	6
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Matrix‐Valued Cauchy Bi‐Orthogonal Polynomials and a Novel Noncommutative Integrable Lattice	6
Asymptotic Expansions for Solutions of Differential Equations Having a Coalescing Turning Point and Double Pole, With an Application to Legendre Functions	6
Spreading Properties of Partially Degenerate Diffusive Systems in Shifting Environments	6
Coupled Electromagnetic Wave Propagation in A Waveguide With Nonlinear Permittivity: Nonlinear Perturbation Approach And Existence of Nonlinearizable Solutions	6
The Darboux Matrices With a Single Multiple Pole and Their Applications	5
Planar Schrödinger–Poisson system with exponential critical growth: Local well‐posedness and standing waves with prescribed mass	5
Soliton and Breather Interactions in the Integrable Discrete Focusing Manakov System via Hirota's Method	5
Well‐Posedness and Pattern Formation in a Two‐Species Reaction–Diffusion System with Nonlocal Perception	5
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Pattern Formation Induced by Chemotaxis for the Weak Competition System	5
Multisoliton interactions approximating the dynamics of breather solutions	5
Asymptotics of the deformed Fredholm determinant of the confluent hypergeometric kernel	5
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Discrete Infinite‐Agent Cucker–Smale Flocking Under Fixed and Switching Digraphs	5
Spatial Movement With Explicit Memory and Nonlocal Pregnancy Delay	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
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Orthogonal polynomials on a class of planar algebraic curves	5
Complete classification of local conservation laws for generalized Cahn–Hilliard–Kuramoto–Sivashinsky equation	4
A free boundary problem with resource‐dependent motility in a weak heterogeneous environment	4
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On the N ‐Elliptic Localized Wave Solutions to the Derivative Nonlinear Schrödinger Equation and Their Asymptotic Analysis	4
Affine Solutions to the Compressible Euler Equations With Time‐Dependent Damping and Free Boundary	4
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Classical Multiple Orthogonal Polynomials for Arbitrary Number of Weights and Their Explicit Representation	4
Singularities in Steady Axisymmetric Euler Flows With Swirl	4
Hypersonic Similarity Law For Steady Compressible Euler Flows Past Slender Bodies Within the Framework of Radon Measure Solutions	4
Roughness‐induced effects on the thermomicropolar fluid flow through a thin domain	4
Asymptotic profiles of a spatial vector‐borne disease model with Fokker–Planck‐type diffusion	4
An Effective Level Set Method With Molecular Beam Epitaxy Regularization for Color‐Texture Image Segmentation	4
Multiple orthogonal polynomials associated with the exponential integral	4
Degenerate Cauchy–Goursat problem for 2‐D steady isentropic Euler system with van der Waals gas	4
Laguerre–Freud equations for three families of hypergeometric discrete orthogonal polynomials	4
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A Theory of Generalized Coordinates for Stochastic Differential Equations	4
Far‐Field Compressible Ocean Response From Two Opposite Moving Rectangular Seafloor Blocks	4
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Large‐Time Existence and Decay of Entropy Solutions for Unsteady Isentropic Gas Flow in the Quasi‐One‐Dimensional Nozzle	4
Dynamics of 2D fluid in bounded domain via conformal variables	4
Spatiotemporal Dynamics Induced by Intermediate Predator Diffusion and Spatial Heterogeneity in Food‐Chain Models	4
Soliton interactions and Yang–Baxter maps for the complex coupled short‐pulse equation	4
The Maximal Lyapunov Exponent of a Stochastic Bautin Bifurcation System	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
A modern concept of Lagrangian hydrodynamics	4
Forest fire spreading: A nonlinear stochastic model continuous in space and time	4
Nonconstant steady states and pattern formations of generalized 1D cross‐diffusion systems with prey‐taxis	4
Riemann problems for generalized gas dynamics	4
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On the Evolution of Relativistic Dust in Schwarzschild–de Sitter and Schwarzschild–Anti‐de Sitter Spacetimes. Part I: The Vanishing Mass Case	4
Numerical Approaches in Nonlinear Fourier Transform‐Based Signal Processing for Telecommunications	4
A Lagrangian for Compressible Flow Focusing on Dissipation due to Thermal Conduction	4
Soliton Solutions Associated With a Class of Third‐Order Ordinary Linear Differential Operators	4
A Seamless Local‐Nonlocal Coupling Diffusion Model With H 1 Vanishing Nonlocality Convergence	4
Emergence of Well‐Ordering and Clustering for a First‐Order Nonlinear Consensus Model	4
Hydrodynamics of a discrete conservation law	4
Propagation Phenomena of a Time‐Periodic Leslie–Gower Predator–Prey System With Nonlocal Dispersal in Shifting Habitats	4
In Search of Rogue Waves: A Novel Proposal Distribution for Parallelized Rejection Sampling of the Truncated KdV Gibbs Measure	4
Exponentially localized interface eigenmodes in finite chains of resonators	4
Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation	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
Study of optimal subalgebras, invariant solutions, and conservation laws for a Verhulst biological population model	3
Predator–prey systems with a variable habitat for predators in advective environments	3
Optimal Preconditioning Techniques for Finite Volume Approximation of Three‐Dimensional Conservative Space‐Fractional Diffusion Equations	3
Landscape of wave focusing and localization at low frequencies	3
Impact of mixed boundary conditions and nonsmooth data on layer‐originated nonpremixed combustion problems: Higher‐order convergence analysis	3
Evolution of an Incompressible Fluid Drop Under a Central Force Field: Analytical Benchmark Solutions for Free‐Surface Flows	3
Long‐Time Dynamics of the Cauchy Problem for the Predator–Prey Model with Cross‐Diffusion	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
Determinantal approach to multiple orthogonal polynomials and the corresponding integrable equations	3
On the Instability and Stability of Couette Flows for Boussinesq Equations With Partial Dissipation and Rotation	3
Concentric‐Ring Patterns of Higher‐Order Lumps in the Kadomtsev–Petviashvili I Equation	3

Large x$x$ Asymptotics of the Soliton Gas for the Nonlinear Schrödinger Equation	3
Some Properties of Zeros of the Umemura Polynomials of the Fifth Painlevé Equation	3
Stability of the Inverse Sturm–Liouville Problem on a Quantum Tree	3
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Multidomain spectral approach to rational‐order fractional derivatives	3
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Stochastic Multisymplectic PDEs and Their Structure‐Preserving Numerical Methods	3
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Analytical and numerical solutions for the boundary layer flow and heat transfer over a moving wedge in Casson fluid	3
Numerical study of the Amick–Schonbek system	3
Pullback Attractors for Nonclassical Diffusion Equations With a Delay Operator	3
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N$N$‐Soliton Matrix mKdV Solutions: Some Special Solutions Revisited	3
Dynamics Analysis for Diffusive Resource‐Consumer Model With Nonlocal Discrete Memory	3
Numerical Study of a Nonlocal Nonlinear Schrödinger Equation (MMT Model)	3
Random dynamics and limiting behaviors for 3D globally modified Navier–Stokes equations driven by colored noise	3
Numerical Study of Transverse (In‐)Stability of Solitary Waves in the Cubic–Quintic Nonlinear Schrödinger Equation	3
Dynamical analysis of a degenerate and time delayed virus infection model with spatial heterogeneity	3
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Singularity formation for the relativistic Euler equations of Chaplygin gases in Schwarzschild spacetime	2
Windowed Green function method for wave scattering by periodic arrays of 2D obstacles	2
Resonances for the One‐Dimensional Schrödinger Operator With the Matrix‐Valued Complex Square‐Well Potential	2
Large Deviation Principles of Fractional Stochastic Nonclassical Diffusion Equations on Unbounded Domains	2
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Steady Boussinesq convection: Parametric analyticity and computation	2
David J. Kaup and Boson Stars	2
Global Dynamics of Predator–Prey Systems With Antipredation Strategy in Open Advective Environments	2
Inversion of the two‐data circular Radon transform centered on a curve on C(R2)${\cal C}(\mathbf {R}^2)$	2
Tropical Geometry Based Edge Detection Using Min‐Plus and Max‐Plus Algebra	2
The Periodic Wave Solution and Riemann Problem for the Modified Benjamin–Bona–Mahony Equation	2
Isolated periodic traveling waves of some reaction convection diffusion equations	2
Muskat–Leverett Two‐Phase Flow in Thin Cylindric Porous Media: Asymptotic Approach	2
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Weak Solutions for Image Inpainting Based on Anisotropic Degenerate Cahn–Hilliard Equation	2
Rogue wave patterns associated with Okamoto polynomial hierarchies	2
Alexseev–Gröbner Formula and Asymptotic Phase‐Locking of Kuramoto Ensembles With Inertia and Frustration	2
Two‐Dimensional Fractional Discrete Nonlinear Schrödinger Equations: Dispersion Relations, Rogue Waves, Fundamental, and Vortex Solitons	2
Asymptotic Target Tracking in Discontinuous Dynamical Systems: Applications of Filippov's Inclusion Framework	2
Maxwell Fronts in the Discrete Nonlinear Schrödinger Equations With Competing Nonlinearities	2
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Bifurcation Analysis of a Resource–Consumer System With Explicit Spatiotemporal Memory	2
The coupled Hirota equations with a 3×3$3\times 3$ Lax pair: Painlevé‐type asymptotics in transition zone	2
Whitham modulation theory for the Zakharov–Kuznetsov equation and stability analysis of its periodic traveling wave solutions	2
Stability of bound states for regularized nonlinear Schrödinger equations	2
The Riemann–Hilbert approach for the integrable fractional Fokas–Lenells equation	2
Hungry Lotka–Volterra lattice under nonzero boundaries, block‐Hankel determinant solution, and biorthogonal polynomials	2
A Design of an Axisymmetric Roof With a Horizontal Rotation Axis	2
From the AKNS system to the matrix Schrödinger equation with vanishing potentials: Direct and inverse problems	2
Rogue waves in the massive Thirring model	2
Stability of Standing Periodic Waves in the Massive Thirring Model	2
Integrable Boundary Conditions for the Nonlinear Schrödinger Hierarchy Via the Fokas Method	2
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Heterogeneously Structured Compartmental Models of Epidemiological Systems: From Individual‐Level Processes to Population‐Scale Dynamics	2
Mathematical Modeling and Analysis of Atherosclerosis Based on Fluid‐Multilayered Poroelastic Structure Interaction Model	2
Turing Instability and Dynamic Bifurcation for the One‐Dimensional Gray–Scott Model	2
Dispersive Revival Phenomena for Two‐Dimensional Dispersive Evolution Equations	2
Weak KAM Theory for Modified Korteweg‐de Vries Equations	2
Geometrical correspondence of the Miura transformation induced from affine Kac–Moody algebras	2
Analysis and Simulation of an Improved Fast Two‐Grid Mixed Element Method for a Nonlinear Time Fractional Pseudo‐Hyperbolic Equation	2
Two‐phase magma flow with phase exchange: Part I. Physical modeling of a volcanic conduit	2
The elliptical vortices, integrable Ermakov structure, Schrödinger connection, and Lax pair in the compressible Navier–Stokes equation	2
Coherent Structures in Long‐Range FPUT Lattices, Part I: Solitary Waves	2
Weakly Compressible Approximation of the Taylor–Green Vortex Solution	2
Orthogonal Laurent Polynomials of Two Real Variables	2
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Symmetries of the DΔmKP hierarchy and their continuum limits	2
On Standing Waves of 1D Nonlinear Schrödinger Equation With Triple Power Nonlinearity	2
A Mathematical Model for Neuron Reorientation and Axonal Growth on a Cyclically Stretched Substrate	2
Explicit exact solutions for plane shock waves in dilute polyatomic gases	1
Time‐Periodic Solutions of Stochastic Discounted Hamilton–Jacobi Equations	1
On the Double Moore–Gibson–Thompson System of Thermoviscoelasticity	1
Global Solvability for 3D Incompressible Inhomogeneous Micropolar System in Critical Spaces	1
Stability of fronts in the diffusive Rosenzweig–MacArthur model	1
Spatial propagation of a lattice predation–competition system with one predator and two preys in shifting habitats	1
The Dimension of the Disguised Toric Locus of a Reaction Network	1
A Front‐Fixing Numerical Method for a Free‐Boundary Nonlocal Diffusion Logistic Model	1
Rigorous estimates on mechanical balance laws in the Boussinesq–Peregrine equations	1
Asymptotic Expansions for Solutions of Differential Equations Having Coalescing Turning Points, With an Application to Legendre Functions	1
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On the linearized system of equations for the condensate–normal fluid interaction at very low temperature	1
Extended symmetry analysis of (1+2)‐dimensional fine Kolmogorov backward equation	1
Backward bifurcation and permanence of a disease‐severity‐structured epidemic model with treatment	1
Epidemic dynamics and spatial segregation driven by cognitive diffusion and nonlinear incidence	1
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Predator–prey model with sigmoid functional response	1
Rarefaction Wave Interaction and Existence of a Global Smooth Solution in the Blood Flow Model With Time‐Dependent Body Force	1
KP reductions and various soliton solutions to the Fokas–Lenells equation under nonzero boundary condition	1
Preface to the Special Issue “Advances in the Mathematics and Physics of Solitons in Memory of David Kaup”	1
Using Multidelay Discrete Delay Differential Equations to Accurately Simulate Models With Distributed Delays	1
Periodic Vibrations of the Nonhomogeneous Strings With Linear and Nonlinear Couplings	1
Mathematical Theory on Multi‐Layered High‐Contrast Acoustic Subwavelength Resonators	1
Rational solutions of the fifth Painlevé equation. Generalized Laguerre polynomials	1
Nonlinear Fourier Transforms for the Sawada–Kotera Equation on the Line	1
Classification of spatial dynamics of a vector–host epidemic model in advective heterogeneous environment	1