Studies in Applied Mathematics

Article	Citations
	41
Three‐dimensional elastic beam frames: Rigid joint conditions in variational and differential formulation	38
Riemann–Hilbert method to the Ablowitz–Ladik equation: Higher‐order cases	34
Asymptotic Properties of Special Function Solutions of the Painlevé III Equation for Fixed Parameters	34
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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	28
Global Dynamics of a Partially Degenerate Nonlocal Model for Mosquito‐Borne Disease Transmission	26
Large‐time asymptotics to the focusing nonlocal modified Kortweg‐de Vries equation with step‐like boundary conditions	26
A New Transformation for the Subcritical Fast Diffusion Equation With Source and Applications	26
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A boundary layer problem in nonflat domains with measurable viscous coefficients	22
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Properties of given and detected unbounded solutions to a class of chemotaxis models	20
Asymptotics of polynomials orthogonal with respect to a generalized Freud weight with application to special function solutions of Painlevé‐IV	20
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Asymptotic spatial behavior for the heat equation on noncompact regions	19
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Revivals, or the Talbot effect, for the Airy equation	18
Exact Periodic Solutions of the Generalized Constantin–Lax–Majda Equation With Dissipation	18
Higher‐order integrable models for oceanic internal wave–current interactions	18
From primary HPV infection to carcinoma in situ: A mathematical approach to cervical intraepithelial neoplasia	16
Inverse scattering transform for the two‐component Gerdjikov–Ivanov equation with nonzero boundary conditions: Dark‐dark solitons	15
Invariant Manifolds in a Class‐Structured Model From Adaptive Dynamics	14
Solving a Singular Limit Problem Arising With Euler–Korteweg Dispersive Waves	13
The multi elliptic‐localized solutions and their asymptotic behaviors for the mKdV equation	13

Global dynamics of a two‐stage structured diffusive population model in time‐periodic and spatially heterogeneous environments	12
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General boundary conditions for a Boussinesq model with varying bathymetry	11
Weak Solutions and Simulations for a Generalized Phase‐Field Crystal Model With Neumann Boundary Conditions	11
Some exact and approximate solutions to a generalized Maxwell–Cattaneo equation	10
The KP limit of a reduced quantum Euler–Poisson equation	10
Turing bifurcation in activator–inhibitor (depletion) models with cross‐diffusion and nonlocal terms	10
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
Riemann problem for isentropic magnetogasdynamics in a variable cross‐section duct	9
Modal decompositions and point scatterer approximations near the Minnaert resonance frequencies	9
Hyperbolicity study of the modulation equations for the Benjamin–Bona–Mahony equation	9
Preface: Modeling Wave Propagation: Mathematical Theory and Numerical Analysis, in Memory of Prof. Vassilios Dougalis	8
Mass and spring dimer Fermi–Pasta–Ulam–Tsingou nanopterons with exponentially small, nonvanishing ripples	8
Issue Information‐TOC	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
Exotic wave patterns in Riemann problem of the high‐order Jaulent–Miodek equation: Whitham modulation theory	8
Spectral and linear stability of peakons in the Novikov equation	8
The Riemann Problem for the Flow Pattern in Deviated Pipes Carrying Isentropic Two‐Phase Flows	8
Efficient numerical solution of one‐phase linear inverse Stefan and Cauchy–Stefan problems in two dimensions: A posteriori error control	8
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Dynamics for a Diffusive Epidemic Model With a Free Boundary: Spreading Speed	7
Rigorous justification of the Whitham modulation equations for equations of Whitham type	7
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Transverse spectral instabilities in Konopelchenko–Dubrovsky equation	7
Spatiotemporal Dynamics of a Delayed Diffusive Single‐Species Model in Closed Advective Environments	7
Existence of solutions to gas expansion problem through a sharp corner for 2‐D Euler equations with general equation of state	7
Oscillatory and regularized shock waves for a modified Serre–Green–Naghdi system	7
Cauchy matrix approach to the SU(2) self‐dual Yang–Mills equation	7
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The degenerate hyperbolic problem for the two‐dimensional nonlinear wave system	6
Preface: Integrable systems and their applications, celebrating the 70th birthday of Athanassios S. Fokas	6
Evolution of Dispersal in Open Advective Patchy Environments	6
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Stokes flow solutions in infinite and semi‐infinite porous channels	6
Instability of near‐extreme solutions to the Whitham equation	6
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Stationary coupled KdV systems and their Stäckel representations	6
Analytic shock‐fronted solutions to a reaction–diffusion equation with negative diffusivity	6
Spatiotemporal dynamics in a twisted, circular waveguide array	6
Traveling Viral Waves for a Spatial May–Nowak Model with Hybrid Local and Nonlocal Dispersal	6
One class of MHD equations: Conservation laws and exact solutions	6
Planar Schrödinger–Poisson system with exponential critical growth: Local well‐posedness and standing waves with prescribed mass	5
A stochastic model for malaria and its behavior under insecticide‐treated nets	5
Multisoliton interactions approximating the dynamics of breather solutions	5
Asymptotics of the deformed Fredholm determinant of the confluent hypergeometric kernel	5
Consensus‐based sampling	5
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The Darboux Matrices With a Single Multiple Pole and Their Applications	5
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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
Spatial Movement With Explicit Memory and Nonlocal Pregnancy Delay	5
Traveling waves, blow‐up, and extinction in the Fisher–Stefan model	5
Nonintegrability of the Painlevé IV equation in the Liouville–Arnold sense and Stokes phenomena	5
Orthogonal polynomials on a class of planar algebraic curves	5
Kirillov structures and reduction of Hamiltonian systems by scaling and standard symmetries	5
Matrix‐Valued Cauchy Bi‐Orthogonal Polynomials and a Novel Noncommutative Integrable Lattice	5
Hydrodynamics of a discrete conservation law	4
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Numerical Approaches in Nonlinear Fourier Transform‐Based Signal Processing for Telecommunications	4
The Maximal Lyapunov Exponent of a Stochastic Bautin Bifurcation System	4
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In Search of Rogue Waves: A Novel Proposal Distribution for Parallelized Rejection Sampling of the Truncated KdV Gibbs Measure	4
Soliton interactions and Yang–Baxter maps for the complex coupled short‐pulse equation	4
Asymptotic profiles of a spatial vector‐borne disease model with Fokker–Planck‐type diffusion	4
Roughness‐induced effects on the thermomicropolar fluid flow through a thin domain	4
An Effective Level Set Method With Molecular Beam Epitaxy Regularization for Color‐Texture Image Segmentation	4
Singularities in Steady Axisymmetric Euler Flows With Swirl	4
On the emergent behavior of the swarming models on the complex sphere	4
Trigonometric Krätzel Functions: Properties, Integral Transforms, and Applications in Diffraction Phenomena	4
Emergence of Well‐Ordering and Clustering for a First‐Order Nonlinear Consensus Model	4
N Double‐Pole Solutions of the Matrix‐Type Nonlinear Schrödinger Equation Under Zero and Nonzero Boundary Conditions	4
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
Exponentially localized interface eigenmodes in finite chains of resonators	4
A Lagrangian for Compressible Flow Focusing on Dissipation due to Thermal Conduction	4
Classical Multiple Orthogonal Polynomials for Arbitrary Number of Weights and Their Explicit Representation	4
A modern concept of Lagrangian hydrodynamics	4
Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation	3
Laguerre–Freud equations for three families of hypergeometric discrete orthogonal polynomials	3
Subharmonic dynamics of wave trains in the Korteweg‐de Vries/Kuramoto‐Sivashinsky equation	3
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A Theory of Generalized Coordinates for Stochastic Differential Equations	3
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Multiple orthogonal polynomials associated with the exponential integral	3
Degenerate Cauchy–Goursat problem for 2‐D steady isentropic Euler system with van der Waals gas	3
Concentric‐Ring Patterns of Higher‐Order Lumps in the Kadomtsev–Petviashvili I Equation	3
Predator–prey systems with a variable habitat for predators in advective environments	3
Numerical study of the Amick–Schonbek system	3
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Dynamics Analysis for Diffusive Resource‐Consumer Model With Nonlocal Discrete Memory	3
Spectral analysis of a viscoelastic tube conveying fluid with generalized boundary conditions	3
Soliton Solutions Associated With a Class of Third‐Order Ordinary Linear Differential Operators	3
Spectral Jacobi approximations for Boussinesq systems	3
N$N$‐Soliton Matrix mKdV Solutions: Some Special Solutions Revisited	3
Complete classification of local conservation laws for generalized Cahn–Hilliard–Kuramoto–Sivashinsky equation	3
Affine Solutions to the Compressible Euler Equations With Time‐Dependent Damping and Free Boundary	3
Some Properties of Zeros of the Umemura Polynomials of the Fifth Painlevé Equation	3
Riemann problems for generalized gas dynamics	3
Pullback Attractors for Nonclassical Diffusion Equations With a Delay Operator	3
Determinantal approach to multiple orthogonal polynomials and the corresponding integrable equations	3
Nonconstant steady states and pattern formations of generalized 1D cross‐diffusion systems with prey‐taxis	3
Random dynamics and limiting behaviors for 3D globally modified Navier–Stokes equations driven by colored noise	3
A free boundary problem with resource‐dependent motility in a weak heterogeneous environment	3
Large x$x$ Asymptotics of the Soliton Gas for the Nonlinear Schrödinger Equation	3
Forest fire spreading: A nonlinear stochastic model continuous in space and time	3
On the Evolution of Relativistic Dust in Schwarzschild–de Sitter and Schwarzschild–Anti‐de Sitter Spacetimes. Part I: The Vanishing Mass Case	3
Nonlinearizable solutions in an eigenvalue problem for Maxwell's equations with nonhomogeneous nonlinear permittivity in a layer	3
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Landscape of wave focusing and localization at low frequencies	3
Multidomain spectral approach to rational‐order fractional derivatives	3
On a Bistable Delayed Nonlinear Reaction–Diffusion Equation for a Two‐Phase Free Boundary: Semi‐Wave and Its Numerical Simulation	3
Analytical and numerical solutions for the boundary layer flow and heat transfer over a moving wedge in Casson fluid	3
Heterogeneously Structured Compartmental Models of Epidemiological Systems: From Individual‐Level Processes to Population‐Scale Dynamics	2
From the AKNS system to the matrix Schrödinger equation with vanishing potentials: Direct and inverse problems	2
Augmented Total Variation Regularization in Radon‐Type Inverse Problems	2
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Study of optimal subalgebras, invariant solutions, and conservation laws for a Verhulst biological population model	2
Symmetries of the DΔmKP hierarchy and their continuum limits	2
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Orthogonal Laurent Polynomials of Two Real Variables	2
Mathematical Modeling and Analysis of Atherosclerosis Based on Fluid‐Multilayered Poroelastic Structure Interaction Model	2
The Riemann–Hilbert approach for the integrable fractional Fokas–Lenells equation	2

Two‐Dimensional Fractional Discrete Nonlinear Schrödinger Equations: Dispersion Relations, Rogue Waves, Fundamental, and Vortex Solitons	2
The elliptical vortices, integrable Ermakov structure, Schrödinger connection, and Lax pair in the compressible Navier–Stokes equation	2
A Mathematical Model for Neuron Reorientation and Axonal Growth on a Cyclically Stretched Substrate	2
Isolated periodic traveling waves of some reaction convection diffusion equations	2
Stability of Standing Periodic Waves in the Massive Thirring Model	2
Dispersive Revival Phenomena for Two‐Dimensional Dispersive Evolution Equations	2
Whitham modulation theory for the Zakharov–Kuznetsov equation and stability analysis of its periodic traveling wave solutions	2
Weakly Compressible Approximation of the Taylor–Green Vortex Solution	2
Stochastic Multisymplectic PDEs and Their Structure‐Preserving Numerical Methods	2
Dynamical analysis of a degenerate and time delayed virus infection model with spatial heterogeneity	2
Elastodynamical resonances and cloaking of negative material structures beyond quasistatic approximation	2
Rogue waves in the massive Thirring model	2
Stability of bound states for regularized nonlinear Schrödinger equations	2
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Two‐phase magma flow with phase exchange: Part I. Physical modeling of a volcanic conduit	2
Geometrical correspondence of the Miura transformation induced from affine Kac–Moody algebras	2
Large Deviation Principles of Fractional Stochastic Nonclassical Diffusion Equations on Unbounded Domains	2
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Integrable Boundary Conditions for the Nonlinear Schrödinger Hierarchy Via the Fokas Method	2
Global Dynamics of Predator–Prey Systems With Antipredation Strategy in Open Advective Environments	2
Steady Boussinesq convection: Parametric analyticity and computation	2
Hungry Lotka–Volterra lattice under nonzero boundaries, block‐Hankel determinant solution, and biorthogonal polynomials	2
Rogue wave patterns associated with Okamoto polynomial hierarchies	2
The effects of viscosity on the linear stability of damped Stokes waves, downshifting, and rogue wave generation	2
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Asymptotics of solutions to periodic problem for the Korteweg–de Vries–Burgers equation	2
Impact of mixed boundary conditions and nonsmooth data on layer‐originated nonpremixed combustion problems: Higher‐order convergence analysis	2
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Coherent Structures in Long‐Range FPUT Lattices, Part I: Solitary Waves	2
David J. Kaup and Boson Stars	2
Inversion of the two‐data circular Radon transform centered on a curve on C(R2)${\cal C}(\mathbf {R}^2)$	2
Turing Instability and Dynamic Bifurcation for the One‐Dimensional Gray–Scott Model	2
Windowed Green function method for wave scattering by periodic arrays of 2D obstacles	2
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The coupled Hirota equations with a 3×3$3\times 3$ Lax pair: Painlevé‐type asymptotics in transition zone	2
On Standing Waves of 1D Nonlinear Schrödinger Equation With Triple Power Nonlinearity	2
KPP fronts in shear flows with cutoff reaction rates	1
Predator–prey model with sigmoid functional response	1
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Rigorous estimates on mechanical balance laws in the Boussinesq–Peregrine equations	1
Singularity formation for the relativistic Euler equations of Chaplygin gases in Schwarzschild spacetime	1
Long‐time asymptotics of solution for the fifth‐order modified KdV equation in the presence of discrete spectrum	1
Angular traveling waves of the high‐dimensional Boussinesq equation	1
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Impact of nonlocal dispersal and time periodicity on the global exponential stability of bistable traveling waves	1
Global existence and the time decay estimates of solutions to the compressible quantum Navier–Stokes–Maxwell system in R3$\mathbb {R}^3$	1
Complex Band Structure for Subwavelength Evanescent Waves	1
N‐fold Darboux transformation of the discrete PT‐symmetric nonlinear Schrödinger equation and new soliton solutions over the nonzero background	1
A Front‐Fixing Numerical Method for a Free‐Boundary Nonlocal Diffusion Logistic Model	1
Dynamics of a Nonlocal Dispersal Population Model With Annually Synchronized Emergence of Adults	1
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Epidemic dynamics and spatial segregation driven by cognitive diffusion and nonlinear incidence	1
Dynamics of a nonlocal dispersal in‐host viral model with humoral immunity	1
Rational solutions of the fifth Painlevé equation. Generalized Laguerre polynomials	1
An Integrable Two‐Component Degasperis–Procesi Equation	1
Nonlinear Fourier Transforms for the Sawada–Kotera Equation on the Line	1
The bilateral birth–death chain generated by the associated Jacobi polynomials	1
Near‐optimal control of a stochastic model for mountain pine beetles with pesticide application	1
Symmetry Analysis of the Two‐Dimensional Stationary Magnetogasdynamics Equations With Coriolis Force in Lagrangian Coordinates	1
KP reductions and various soliton solutions to the Fokas–Lenells equation under nonzero boundary condition	1
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Using Multidelay Discrete Delay Differential Equations to Accurately Simulate Models With Distributed Delays	1
Unveiling measles transmission dynamics: Insights from a stochastic model with nonlinear incidence	1
Viability of circle and sphere theorems in potential theory and hydrodynamics via Maxwell's conjecture	1
Vector breathers in the Manakov system	1
Multiphase solutions and their reductions for a nonlocal nonlinear Schrödinger equation with focusing nonlinearity	1
Riemann–Hilbert Approach for the Hirota–Satsuma Coupled KdV System	1
Soliton–mean field interaction in Korteweg–de Vries dispersive hydrodynamics	1
Extended symmetry analysis of (1+2)‐dimensional fine Kolmogorov backward equation	1
An application of a qd‐type discrete hungry Lotka–Volterra equation over finite fields to a decoding problem	1
Quantitative analysis of passive intermodulation and surface roughness	1
Backward bifurcation and permanence of a disease‐severity‐structured epidemic model with treatment	1
Asymptotic distribution of the eigenvalues of the bending‐torsion vibration model with fully nondissipative boundary feedback	1
On the Whitham system for the (2+1)‐dimensional nonlinear Schrödinger equation	1
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Rarefaction Wave Interaction and Existence of a Global Smooth Solution in the Blood Flow Model With Time‐Dependent Body Force	1
Invasion analysis of a two‐species Lotka–Volterra competition model in an advective patchy environment	1
On the linearized system of equations for the condensate–normal fluid interaction at very low temperature	1
Stability and optimal decay for the 3D anisotropic magnetohydrodynamic equations	1
Classification of spatial dynamics of a vector–host epidemic model in advective heterogeneous environment	1
Orthogonal polynomials on domains of revolution	1
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On the almost‐circular symplectic induced Ginibre ensemble	1
Spatiotemporal propagation of a time‐periodic reaction–diffusion SI epidemic model with treatment	1
Global Existence of Solutions to a Chemotaxis System With Nonlinear Neumann Boundary Condition	1
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Spatial propagation of a lattice predation–competition system with one predator and two preys in shifting habitats	1
On the stochastic robustness of complete clustering predictability for a first‐order consensus model	1
Global Solvability for 3D Incompressible Inhomogeneous Micropolar System in Critical Spaces	1
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Explicit exact solutions for plane shock waves in dilute polyatomic gases	1
The Dimension of the Disguised Toric Locus of a Reaction Network	1
Spatial dynamics for an SIRE epidemic model with diffusion and prevention in contaminated environments	1
Analysis of a Radiotherapy Model for Brain Tumors	1
Stability of fronts in the diffusive Rosenzweig–MacArthur model	1