Studies in Applied Mathematics

Article	Citations
	46
Three‐dimensional elastic beam frames: Rigid joint conditions in variational and differential formulation	41
Asymptotic Properties of Special Function Solutions of the Painlevé III Equation for Fixed Parameters	38
Global Dynamics of a Partially Degenerate Nonlocal Model for Mosquito‐Borne Disease Transmission	36
Well‐posedness of generalized KdV and one‐dimensional fourth‐order derivative nonlinear Schrödinger equations for data with an infinite L2 norm	36
A New Transformation for the Subcritical Fast Diffusion Equation With Source and Applications	29
Riemann–Hilbert method to the Ablowitz–Ladik equation: Higher‐order cases	28
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Large‐time asymptotics to the focusing nonlocal modified Kortweg‐de Vries equation with step‐like boundary conditions	27
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A boundary layer problem in nonflat domains with measurable viscous coefficients	22
Asymptotic spatial behavior for the heat equation on noncompact regions	20
Properties of given and detected unbounded solutions to a class of chemotaxis models	20
Invariant Manifolds in a Class‐Structured Model From Adaptive Dynamics	20
Solving a Singular Limit Problem Arising With Euler–Korteweg Dispersive Waves	19
Revivals, or the Talbot effect, for the Airy equation	18
Higher‐order integrable models for oceanic internal wave–current interactions	16
Exact Periodic Solutions of the Generalized Constantin–Lax–Majda Equation With Dissipation	16
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From primary HPV infection to carcinoma in situ: A mathematical approach to cervical intraepithelial neoplasia	15
Inverse scattering transform for the two‐component Gerdjikov–Ivanov equation with nonzero boundary conditions: Dark‐dark solitons	13
Global dynamics of a two‐stage structured diffusive population model in time‐periodic and spatially heterogeneous environments	12

Global Well‐Posedness and Large Time Behavior of Boussinesq Equations With Fractional Dissipation	11
Asymptotics of polynomials orthogonal with respect to a generalized Freud weight with application to special function solutions of Painlevé‐IV	11
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Weak Solutions and Simulations for a Generalized Phase‐Field Crystal Model With Neumann Boundary Conditions	11
The multi elliptic‐localized solutions and their asymptotic behaviors for the mKdV equation	11
Riemann problem for isentropic magnetogasdynamics in a variable cross‐section duct	10
Exotic wave patterns in Riemann problem of the high‐order Jaulent–Miodek equation: Whitham modulation theory	10
The KP limit of a reduced quantum Euler–Poisson equation	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	10
Initial boundary value problem for a class of wave equations of Hartree type	10
Some exact and approximate solutions to a generalized Maxwell–Cattaneo equation	9
Turing bifurcation in activator–inhibitor (depletion) models with cross‐diffusion and nonlocal terms	9
General boundary conditions for a Boussinesq model with varying bathymetry	9
Modal decompositions and point scatterer approximations near the Minnaert resonance frequencies	9
Hamiltonian mechanics of “magnetic” solitons in two‐component Bose–Einstein condensates	9
Asymptotic Decay of Solitary Wave Solutions of the Fractional Nonlinear Schrödinger Equation	9
Mass and spring dimer Fermi–Pasta–Ulam–Tsingou nanopterons with exponentially small, nonvanishing ripples	9
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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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
Preface: Modeling Wave Propagation: Mathematical Theory and Numerical Analysis, in Memory of Prof. Vassilios Dougalis	8
Transverse spectral instabilities in Konopelchenko–Dubrovsky equation	8
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 Riemann Problem for the Flow Pattern in Deviated Pipes Carrying Isentropic Two‐Phase Flows	7
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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
Spectral and linear stability of peakons in the Novikov equation	7
Spatiotemporal Dynamics of a Delayed Diffusive Single‐Species Model in Closed Advective Environments	7
Instability of near‐extreme solutions to the Whitham equation	6
The degenerate hyperbolic problem for the two‐dimensional nonlinear wave system	6
Analytic shock‐fronted solutions to a reaction–diffusion equation with negative diffusivity	6
Spatiotemporal dynamics in a twisted, circular waveguide array	6
Stokes flow solutions in infinite and semi‐infinite porous channels	6
Evolution of Dispersal in Open Advective Patchy Environments	6
One class of MHD equations: Conservation laws and exact solutions	6
Existence of solutions to gas expansion problem through a sharp corner for 2‐D Euler equations with general equation of state	6
Preface: Integrable systems and their applications, celebrating the 70th birthday of Athanassios S. Fokas	6
Traveling Viral Waves for a Spatial May–Nowak Model with Hybrid Local and Nonlocal Dispersal	6
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Stationary coupled KdV systems and their Stäckel representations	6
Approximating a Spatially‐Heterogeneously Mass‐Emitting Object by Multiple Point Sources in a Diffusion Model	6
Coupled Electromagnetic Wave Propagation in A Waveguide With Nonlinear Permittivity: Nonlinear Perturbation Approach And Existence of Nonlinearizable Solutions	5
A stochastic model for malaria and its behavior under insecticide‐treated nets	5
Perturbed conformal invariance and Mei adiabatic invariants of the generalized perturbed Hamiltonian systems with additional terms	5

Multisoliton interactions approximating the dynamics of breather solutions	5
Matrix‐Valued Cauchy Bi‐Orthogonal Polynomials and a Novel Noncommutative Integrable Lattice	5
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Consensus‐based sampling	5
Planar Schrödinger–Poisson system with exponential critical growth: Local well‐posedness and standing waves with prescribed mass	5
Orthogonal polynomials on a class of planar algebraic curves	5
The Darboux Matrices With a Single Multiple Pole and Their Applications	5
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Pattern Formation and Nonlinear Waves Close to a 1:1 Resonant Turing and Turing–Hopf Instability	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
Nonintegrability of the Painlevé IV equation in the Liouville–Arnold sense and Stokes phenomena	5
Large‐Time Existence and Decay of Entropy Solutions for Unsteady Isentropic Gas Flow in the Quasi‐One‐Dimensional Nozzle	4
Asymptotics of the deformed Fredholm determinant of the confluent hypergeometric kernel	4
A Lagrangian for Compressible Flow Focusing on Dissipation due to Thermal Conduction	4
Singularities in Steady Axisymmetric Euler Flows With Swirl	4
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A modern concept of Lagrangian hydrodynamics	4
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Roughness‐induced effects on the thermomicropolar fluid flow through a thin domain	4
Soliton interactions and Yang–Baxter maps for the complex coupled short‐pulse equation	4
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Kirillov structures and reduction of Hamiltonian systems by scaling and standard symmetries	4
The Maximal Lyapunov Exponent of a Stochastic Bautin Bifurcation System	4
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Dynamics of 2D fluid in bounded domain via conformal variables	4
Trigonometric Krätzel Functions: Properties, Integral Transforms, and Applications in Diffraction Phenomena	4
On the Evolution of Relativistic Dust in Schwarzschild–de Sitter and Schwarzschild–Anti‐de Sitter Spacetimes. Part I: The Vanishing Mass Case	4
Classical Multiple Orthogonal Polynomials for Arbitrary Number of Weights and Their Explicit Representation	4
Emergence of Well‐Ordering and Clustering for a First‐Order Nonlinear Consensus Model	4
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Numerical Approaches in Nonlinear Fourier Transform‐Based Signal Processing for Telecommunications	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
Affine Solutions to the Compressible Euler Equations With Time‐Dependent Damping and Free Boundary	4
Exponentially localized interface eigenmodes in finite chains of resonators	4
A Seamless Local‐Nonlocal Coupling Diffusion Model With H 1 Vanishing Nonlocality Convergence	4
In Search of Rogue Waves: A Novel Proposal Distribution for Parallelized Rejection Sampling of the Truncated KdV Gibbs Measure	4
Hydrodynamics of a discrete conservation law	4
N Double‐Pole Solutions of the Matrix‐Type Nonlinear Schrödinger Equation Under Zero and Nonzero Boundary Conditions	4
Nonconstant steady states and pattern formations of generalized 1D cross‐diffusion systems with prey‐taxis	3
Riemann problems for generalized gas dynamics	3
Forest fire spreading: A nonlinear stochastic model continuous in space and time	3
Complete classification of local conservation laws for generalized Cahn–Hilliard–Kuramoto–Sivashinsky equation	3
Pullback Attractors for Nonclassical Diffusion Equations With a Delay Operator	3
Determinantal approach to multiple orthogonal polynomials and the corresponding integrable equations	3
Soliton Solutions Associated With a Class of Third‐Order Ordinary Linear Differential Operators	3
Spectral analysis of a viscoelastic tube conveying fluid with generalized boundary conditions	3
Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation	3
N$N$‐Soliton Matrix mKdV Solutions: Some Special Solutions Revisited	3
A free boundary problem with resource‐dependent motility in a weak heterogeneous environment	3
A Theory of Generalized Coordinates for Stochastic Differential Equations	3
Laguerre–Freud equations for three families of hypergeometric discrete orthogonal polynomials	3
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Stability of the Inverse Sturm–Liouville Problem on a Quantum Tree	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 the Amick–Schonbek system	3
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Large x$x$ Asymptotics of the Soliton Gas for the Nonlinear Schrödinger Equation	3
Landscape of wave focusing and localization at low frequencies	3
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Some Properties of Zeros of the Umemura Polynomials of the Fifth Painlevé Equation	3
Nonlinearizable solutions in an eigenvalue problem for Maxwell's equations with nonhomogeneous nonlinear permittivity in a layer	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
Spectral Jacobi approximations for Boussinesq systems	3
Random dynamics and limiting behaviors for 3D globally modified Navier–Stokes equations driven by colored noise	3
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Dynamics Analysis for Diffusive Resource‐Consumer Model With Nonlocal Discrete Memory	3
Multiple orthogonal polynomials associated with the exponential integral	3
Stability of bound states for regularized nonlinear Schrödinger equations	2
Augmented Total Variation Regularization in Radon‐Type Inverse Problems	2
Whitham modulation theory for the Zakharov–Kuznetsov equation and stability analysis of its periodic traveling wave solutions	2
Multidomain spectral approach to rational‐order fractional derivatives	2
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Analytical and numerical solutions for the boundary layer flow and heat transfer over a moving wedge in Casson fluid	2
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

Orthogonal Laurent Polynomials of Two Real Variables	2
The elliptical vortices, integrable Ermakov structure, Schrödinger connection, and Lax pair in the compressible Navier–Stokes equation	2
Integrable Boundary Conditions for the Nonlinear Schrödinger Hierarchy Via the Fokas Method	2
Dispersive Revival Phenomena for Two‐Dimensional Dispersive Evolution Equations	2
The coupled Hirota equations with a 3×3$3\times 3$ Lax pair: Painlevé‐type asymptotics in transition zone	2
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A Mathematical Model for Neuron Reorientation and Axonal Growth on a Cyclically Stretched Substrate	2
Global Dynamics of Predator–Prey Systems With Antipredation Strategy in Open Advective Environments	2
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Asymptotics of solutions to periodic problem for the Korteweg–de Vries–Burgers equation	2
Singularity formation for the relativistic Euler equations of Chaplygin gases in Schwarzschild spacetime	2
Stochastic Multisymplectic PDEs and Their Structure‐Preserving Numerical Methods	2
Coherent Structures in Long‐Range FPUT Lattices, Part I: Solitary Waves	2
Impact of mixed boundary conditions and nonsmooth data on layer‐originated nonpremixed combustion problems: Higher‐order convergence analysis	2
David J. Kaup and Boson Stars	2
Elastodynamical resonances and cloaking of negative material structures beyond quasistatic approximation	2
Inversion of the two‐data circular Radon transform centered on a curve on C(R2)${\cal C}(\mathbf {R}^2)$	2
Muskat–Leverett Two‐Phase Flow in Thin Cylindric Porous Media: Asymptotic Approach	2
Tropical Geometry Based Edge Detection Using Min‐Plus and Max‐Plus Algebra	2
Asymptotic Target Tracking in Discontinuous Dynamical Systems: Applications of Filippov's Inclusion Framework	2
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Stability of Standing Periodic Waves in the Massive Thirring Model	2
On Standing Waves of 1D Nonlinear Schrödinger Equation With Triple Power Nonlinearity	2
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The effects of viscosity on the linear stability of damped Stokes waves, downshifting, and rogue wave generation	2
Rogue wave patterns associated with Okamoto polynomial hierarchies	2
Rogue waves in the massive Thirring model	2
Heterogeneously Structured Compartmental Models of Epidemiological Systems: From Individual‐Level Processes to Population‐Scale Dynamics	2
Symmetries of the DΔmKP hierarchy and their continuum limits	2
Large Deviation Principles of Fractional Stochastic Nonclassical Diffusion Equations on Unbounded Domains	2
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Turing Instability and Dynamic Bifurcation for the One‐Dimensional Gray–Scott Model	2
Study of optimal subalgebras, invariant solutions, and conservation laws for a Verhulst biological population model	2
Mathematical Modeling and Analysis of Atherosclerosis Based on Fluid‐Multilayered Poroelastic Structure Interaction Model	2
Isolated periodic traveling waves of some reaction convection diffusion equations	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
Hungry Lotka–Volterra lattice under nonzero boundaries, block‐Hankel determinant solution, and biorthogonal polynomials	2
Steady Boussinesq convection: Parametric analyticity and computation	2
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Weak KAM Theory for Modified Korteweg‐de Vries Equations	2
From the AKNS system to the matrix Schrödinger equation with vanishing potentials: Direct and inverse problems	2
Windowed Green function method for wave scattering by periodic arrays of 2D obstacles	2
Weakly Compressible Approximation of the Taylor–Green Vortex Solution	2
Dynamical analysis of a degenerate and time delayed virus infection model with spatial heterogeneity	2
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Asymptotic distribution of the eigenvalues of the bending‐torsion vibration model with fully nondissipative boundary feedback	1
Long‐Time Asymptotics of Solutions for Any n$n$‐Component Focusing Nonlinear Schrödinger Equations in Spacetime Solitonic Regions	1
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N‐fold Darboux transformation of the discrete PT‐symmetric nonlinear Schrödinger equation and new soliton solutions over the nonzero background	1
Backward bifurcation and permanence of a disease‐severity‐structured epidemic model with treatment	1
Invasion analysis of a two‐species Lotka–Volterra competition model in an advective patchy environment	1
The Dimension of the Disguised Toric Locus of a Reaction Network	1
On the almost‐circular symplectic induced Ginibre ensemble	1
Stability of fronts in the diffusive Rosenzweig–MacArthur model	1
Dynamics of a nonlocal dispersal in‐host viral model with humoral immunity	1
Mathematical Theory on Multi‐Layered High‐Contrast Acoustic Subwavelength Resonators	1
Spatial propagation of a lattice predation–competition system with one predator and two preys in shifting habitats	1
Extended symmetry analysis of (1+2)‐dimensional fine Kolmogorov backward equation	1
On the linearized system of equations for the condensate–normal fluid interaction at very low temperature	1
Rigorous estimates on mechanical balance laws in the Boussinesq–Peregrine equations	1
Riemann–Hilbert Approach for the Hirota–Satsuma Coupled KdV System	1
Global existence and the time decay estimates of solutions to the compressible quantum Navier–Stokes–Maxwell system in R3$\mathbb {R}^3$	1
Epidemic dynamics and spatial segregation driven by cognitive diffusion and nonlinear incidence	1
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Vector breathers in the Manakov system	1
Dynamics of a Nonlocal Dispersal Population Model With Annually Synchronized Emergence of Adults	1
A Front‐Fixing Numerical Method for a Free‐Boundary Nonlocal Diffusion Logistic Model	1
Symmetry Analysis of the Two‐Dimensional Stationary Magnetogasdynamics Equations With Coriolis Force in Lagrangian Coordinates	1
Angular traveling waves of the high‐dimensional Boussinesq equation	1
Explicit exact solutions for plane shock waves in dilute polyatomic gases	1
Rational solutions of the fifth Painlevé equation. Generalized Laguerre polynomials	1
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Orthogonal polynomials on domains of revolution	1
Classification of spatial dynamics of a vector–host epidemic model in advective heterogeneous environment	1
Near‐optimal control of a stochastic model for mountain pine beetles with pesticide application	1
Asymptotic Expansions for Solutions of Differential Equations Having Coalescing Turning Points, With an Application to Legendre Functions	1
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KP reductions and various soliton solutions to the Fokas–Lenells equation under nonzero boundary condition	1
An application of a qd‐type discrete hungry Lotka–Volterra equation over finite fields to a decoding problem	1
Global Existence of Solutions to a Chemotaxis System With Nonlinear Neumann Boundary Condition	1
Spatiotemporal propagation of a time‐periodic reaction–diffusion SI epidemic model with treatment	1
Impact of nonlocal dispersal and time periodicity on the global exponential stability of bistable traveling waves	1
Soliton–mean field interaction in Korteweg–de Vries dispersive hydrodynamics	1
Complex Band Structure for Subwavelength Evanescent Waves	1
Multiphase solutions and their reductions for a nonlocal nonlinear Schrödinger equation with focusing nonlinearity	1
Long‐time asymptotics of solution for the fifth‐order modified KdV equation in the presence of discrete spectrum	1
Global Solvability for 3D Incompressible Inhomogeneous Micropolar System in Critical Spaces	1
Spatial dynamics for an SIRE epidemic model with diffusion and prevention in contaminated environments	1
On the Whitham system for the (2+1)‐dimensional nonlinear Schrödinger equation	1
Nonlinear Fourier Transforms for the Sawada–Kotera Equation on the Line	1
Predator–prey model with sigmoid functional response	1
Global dynamics and spatiotemporal patterns of a two‐species chemotaxis system with chemical signaling loop and Lotka–Volterra competition	1
Using Multidelay Discrete Delay Differential Equations to Accurately Simulate Models With Distributed Delays	1