Studies in Applied Mathematics

Article	Citations
	72
	53
Well‐posedness of generalized KdV and one‐dimensional fourth‐order derivative nonlinear Schrödinger equations for data with an infinite L2 norm	42
Three‐dimensional elastic beam frames: Rigid joint conditions in variational and differential formulation	39
Riemann–Hilbert method to the Ablowitz–Ladik equation: Higher‐order cases	33
Asymptotic Properties of Special Function Solutions of the Painlevé III Equation for Fixed Parameters	33
Global Dynamics of a Partially Degenerate Nonlocal Model for Mosquito‐Borne Disease Transmission	31
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	27
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Asymptotic spatial behavior for the heat equation on noncompact regions	24
A boundary layer problem in nonflat domains with measurable viscous coefficients	24
Properties of given and detected unbounded solutions to a class of chemotaxis models	23
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Invariant Manifolds in a Class‐Structured Model From Adaptive Dynamics	21
Asymptotics of polynomials orthogonal with respect to a generalized Freud weight with application to special function solutions of Painlevé‐IV	21
From primary HPV infection to carcinoma in situ: A mathematical approach to cervical intraepithelial neoplasia	20
Revivals, or the Talbot effect, for the Airy equation	19
Higher‐order integrable models for oceanic internal wave–current interactions	18
Solving a Singular Limit Problem Arising With Euler–Korteweg Dispersive Waves	16
The multi elliptic‐localized solutions and their asymptotic behaviors for the mKdV equation	15
Global dynamics of a two‐stage structured diffusive population model in time‐periodic and spatially heterogeneous environments	15
Inverse scattering transform for the two‐component Gerdjikov–Ivanov equation with nonzero boundary conditions: Dark‐dark solitons	15

General boundary conditions for a Boussinesq model with varying bathymetry	15
Turing bifurcation in activator–inhibitor (depletion) models with cross‐diffusion and nonlocal terms	14
Weak Solutions and Simulations for a Generalized Phase‐Field Crystal Model With Neumann Boundary Conditions	14
Mass and spring dimer Fermi–Pasta–Ulam–Tsingou nanopterons with exponentially small, nonvanishing ripples	14
Some exact and approximate solutions to a generalized Maxwell–Cattaneo equation	13
Breather solutions for a quasi‐linear ‐dimensional wave equation	12
Hyperbolicity study of the modulation equations for the Benjamin–Bona–Mahony equation	12
Initial boundary value problem for a class of wave equations of Hartree type	12
Inversion formula for an integral geometry problem over surfaces of revolution	10
Modal decompositions and point scatterer approximations near the Minnaert resonance frequencies	10
Riemann problem for isentropic magnetogasdynamics in a variable cross‐section duct	9
The KP limit of a reduced quantum Euler–Poisson equation	9
Exotic wave patterns in Riemann problem of the high‐order Jaulent–Miodek equation: Whitham modulation theory	9
Oscillatory and regularized shock waves for a modified Serre–Green–Naghdi system	8
Rigorous justification of the Whitham modulation equations for equations of Whitham type	8
Hamiltonian mechanics of “magnetic” solitons in two‐component Bose–Einstein condensates	8
Spectral and linear stability of peakons in the Novikov equation	8
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Preface: Modeling Wave Propagation: Mathematical Theory and Numerical Analysis, in Memory of Prof. Vassilios Dougalis	8
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Efficient numerical solution of one‐phase linear inverse Stefan and Cauchy–Stefan problems in two dimensions: A posteriori error control	8
Dynamics for a Diffusive Epidemic Model With a Free Boundary: Spreading Speed	7
Cauchy matrix approach to the SU(2) self‐dual Yang–Mills equation	7
Existence of solutions to gas expansion problem through a sharp corner for 2‐D Euler equations with general equation of state	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
Transverse spectral instabilities in Konopelchenko–Dubrovsky 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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Analytic shock‐fronted solutions to a reaction–diffusion equation with negative diffusivity	6
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Spatiotemporal dynamics in a twisted, circular waveguide array	6
A stochastic model for malaria and its behavior under insecticide‐treated nets	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
Exceptional Hahn and Jacobi polynomials with an arbitrary number of continuous parameters	6
Instability of near‐extreme solutions to the Whitham equation	6
The degenerate hyperbolic problem for the two‐dimensional nonlinear wave system	6
Traveling Viral Waves for a Spatial May–Nowak Model with Hybrid Local and Nonlocal Dispersal	6
Stokes flow solutions in infinite and semi‐infinite porous channels	6
Stationary coupled KdV systems and their Stäckel representations	6
One class of MHD equations: Conservation laws and exact solutions	6
Tau‐function formulation for bright, dark soliton and breather solutions to the massive Thirring model	5
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Kirillov structures and reduction of Hamiltonian systems by scaling and standard symmetries	5
Spatial Movement With Explicit Memory and Nonlocal Pregnancy Delay	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
Traveling waves, blow‐up, and extinction in the Fisher–Stefan model	5

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Orthogonal polynomials on a class of planar algebraic curves	5
Matrix‐Valued Cauchy Bi‐Orthogonal Polynomials and a Novel Noncommutative Integrable Lattice	5
Asymptotics of the deformed Fredholm determinant of the confluent hypergeometric kernel	5
Roughness‐induced effects on the thermomicropolar fluid flow through a thin domain	5
Hydrodynamics of a discrete conservation law	5
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Nonintegrability of the Painlevé IV equation in the Liouville–Arnold sense and Stokes phenomena	5
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
Consensus‐based sampling	5
Higher dimensional generalization of the Benjamin‐Ono equation: 2D case	5
Perturbed conformal invariance and Mei adiabatic invariants of the generalized perturbed Hamiltonian systems with additional terms	5
Complete classification of local conservation laws for generalized Cahn–Hilliard–Kuramoto–Sivashinsky equation	4
Nonlinearizable solutions in an eigenvalue problem for Maxwell's equations with nonhomogeneous nonlinear permittivity in a layer	4
A Lagrangian for Compressible Flow Focusing on Dissipation due to Thermal Conduction	4
Soliton interactions and Yang–Baxter maps for the complex coupled short‐pulse equation	4
Emergence of Well‐Ordering and Clustering for a First‐Order Nonlinear Consensus Model	4
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Soliton Solutions Associated With a Class of Third‐Order Ordinary Linear Differential Operators	4
On the emergent behavior of the swarming models on the complex sphere	4
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Dynamics of 2D fluid in bounded domain via conformal variables	4
Classical Multiple Orthogonal Polynomials for Arbitrary Number of Weights and Their Explicit Representation	4
Exponentially localized interface eigenmodes in finite chains of resonators	4
N Double‐Pole Solutions of the Matrix‐Type Nonlinear Schrödinger Equation Under Zero and Nonzero Boundary Conditions	4
In Search of Rogue Waves: A Novel Proposal Distribution for Parallelized Rejection Sampling of the Truncated KdV Gibbs Measure	4
Forest fire spreading: A nonlinear stochastic model continuous in space and time	4
Multiple orthogonal polynomials associated with the exponential integral	4
Riemann problems for generalized gas dynamics	4
Degenerate Cauchy–Goursat problem for 2‐D steady isentropic Euler system with van der Waals gas	4
Numerical Approaches in Nonlinear Fourier Transform‐Based Signal Processing for Telecommunications	4
A modern concept of Lagrangian hydrodynamics	4
Spatiotemporal dynamics of a diffusive consumer‐resource model with explicit spatial memory	4
The Maximal Lyapunov Exponent of a Stochastic Bautin Bifurcation System	4
A Theory of Generalized Coordinates for Stochastic Differential Equations	4
N$N$‐Soliton Matrix mKdV Solutions: Some Special Solutions Revisited	4
Dynamics Analysis for Diffusive Resource‐Consumer Model With Nonlocal Discrete Memory	3
Analytical and numerical solutions for the boundary layer flow and heat transfer over a moving wedge in Casson fluid	3
Determinantal approach to multiple orthogonal polynomials and the corresponding integrable equations	3
Numerical study of the Amick–Schonbek system	3
Elastodynamical resonances and cloaking of negative material structures beyond quasistatic approximation	3
Nonconstant steady states and pattern formations of generalized 1D cross‐diffusion systems with prey‐taxis	3
Affine Solutions to the Compressible Euler Equations With Time‐Dependent Damping and Free Boundary	3
Laguerre–Freud equations for three families of hypergeometric discrete orthogonal polynomials	3
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Multidomain spectral approach to rational‐order fractional derivatives	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
Subharmonic dynamics of wave trains in the Korteweg‐de Vries/Kuramoto‐Sivashinsky equation	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
Landscape of wave focusing and localization at low frequencies	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
Pullback Attractors for Nonclassical Diffusion Equations With a Delay Operator	3
Spectral Jacobi approximations for Boussinesq systems	3
Impact of mixed boundary conditions and nonsmooth data on layer‐originated nonpremixed combustion problems: Higher‐order convergence analysis	3
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On a Bistable Delayed Nonlinear Reaction–Diffusion Equation for a Two‐Phase Free Boundary: Semi‐Wave and Its Numerical Simulation	3
A free boundary problem with resource‐dependent motility in a weak heterogeneous environment	3
On the stochastic robustness of complete clustering predictability for a first‐order consensus model	2
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Inversion of the two‐data circular Radon transform centered on a curve on C(R2)${\cal C}(\mathbf {R}^2)$	2
Orthogonal Laurent Polynomials of Two Real Variables	2
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
Hungry Lotka–Volterra lattice under nonzero boundaries, block‐Hankel determinant solution, and biorthogonal polynomials	2
Asymptotics of solutions to periodic problem for the Korteweg–de Vries–Burgers equation	2
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Turing Instability and Dynamic Bifurcation for the One‐Dimensional Gray–Scott Model	2
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Global Dynamics of Predator–Prey Systems With Antipredation Strategy in Open Advective Environments	2
Rogue wave patterns associated with Okamoto polynomial hierarchies	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
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The effects of viscosity on the linear stability of damped Stokes waves, downshifting, and rogue wave generation	2
N‐fold Darboux transformation of the discrete PT‐symmetric nonlinear Schrödinger equation and new soliton solutions over the nonzero background	2
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David J. Kaup and Boson Stars	2
Stability of Standing Periodic Waves in the Massive Thirring Model	2
Large Deviation Principles of Fractional Stochastic Nonclassical Diffusion Equations on Unbounded Domains	2
Rogue waves in the massive Thirring model	2
Geometrical correspondence of the Miura transformation induced from affine Kac–Moody algebras	2
Dynamical analysis of a degenerate and time delayed virus infection model with spatial heterogeneity	2
Nonlinear mirror image method for nonlinear Schrödinger equation: Absorption/emission of one soliton by a boundary	2
Two‐Dimensional Fractional Discrete Nonlinear Schrödinger Equations: Dispersion Relations, Rogue Waves, Fundamental, and Vortex Solitons	2
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Dispersive Revival Phenomena for Two‐Dimensional Dispersive Evolution Equations	2
The elliptical vortices, integrable Ermakov structure, Schrödinger connection, and Lax pair in the compressible Navier–Stokes equation	2
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Global existence and the time decay estimates of solutions to the compressible quantum Navier–Stokes–Maxwell system in R3$\mathbb {R}^3$	2
From the AKNS system to the matrix Schrödinger equation with vanishing potentials: Direct and inverse problems	2
An application of a qd‐type discrete hungry Lotka–Volterra equation over finite fields to a decoding problem	2
Viability of circle and sphere theorems in potential theory and hydrodynamics via Maxwell's conjecture	2
Windowed Green function method for wave scattering by periodic arrays of 2D obstacles	2
Heterogeneously Structured Compartmental Models of Epidemiological Systems: From Individual‐Level Processes to Population‐Scale Dynamics	2
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The Riemann–Hilbert approach for the integrable fractional Fokas–Lenells equation	2
Symmetries of the DΔmKP hierarchy and their continuum limits	2
Mathematical Modeling and Analysis of Atherosclerosis Based on Fluid‐Multilayered Poroelastic Structure Interaction Model	2
Augmented Total Variation Regularization in Radon‐Type Inverse Problems	2
Weakly Compressible Approximation of the Taylor–Green Vortex Solution	2
Steady Boussinesq convection: Parametric analyticity and computation	2
Study of optimal subalgebras, invariant solutions, and conservation laws for a Verhulst biological population model	2
Isolated periodic traveling waves of some reaction convection diffusion equations	2
Stability of bound states for regularized nonlinear Schrödinger equations	2
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Spatiotemporal propagation of a time‐periodic reaction–diffusion SI epidemic model with treatment	2
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KP reductions and various soliton solutions to the Fokas–Lenells equation under nonzero boundary condition	1
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On the linearized system of equations for the condensate–normal fluid interaction at very low temperature	1
Soliton–mean field interaction in Korteweg–de Vries dispersive hydrodynamics	1
Orthogonal polynomials on domains of revolution	1
Exploring the interplay between memory effects and vesicle dynamics: A five‐dimensional analysis using rigid sphere models and mapping techniques	1
Global Solvability for 3D Incompressible Inhomogeneous Micropolar System in Critical Spaces	1
Bifurcations and global dynamics of a predator–prey mite model of Leslie type	1
On the Whitham system for the (2+1)‐dimensional nonlinear Schrödinger equation	1
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Asymptotic distribution of the eigenvalues of the bending‐torsion vibration model with fully nondissipative boundary feedback	1
Global dynamics and spatiotemporal patterns of a two‐species chemotaxis system with chemical signaling loop and Lotka–Volterra competition	1
Rigorous estimates on mechanical balance laws in the Boussinesq–Peregrine equations	1
Quantitative analysis of passive intermodulation and surface roughness	1
Multidimensional conservation laws and integrable systems II	1
Spatial propagation of a lattice predation–competition system with one predator and two preys in shifting habitats	1
On the Coupled Maxwell–Bloch System of Equations With Nondecaying Fields at Infinity	1
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Spatiotemporal patterns in a diffusive predator–prey system with nonlocal intraspecific prey competition	1
Multiphase solutions and their reductions for a nonlocal nonlinear Schrödinger equation with focusing nonlinearity	1
Nonuniform laminated beam of Lord–Shulman type	1
Asymptotic Behaviors of Chandrasekhar Variational Problem for Neutron Stars With Slater‐Type Modification	1
Symmetry Analysis of the Two‐Dimensional Stationary Magnetogasdynamics Equations With Coriolis Force in Lagrangian Coordinates	1
Epidemic dynamics and spatial segregation driven by cognitive diffusion and nonlinear incidence	1
Exact solitary wave solutions for a coupled gKdV–Schrödinger system by a new ODE reduction method	1
Explicit exact solutions for plane shock waves in dilute polyatomic gases	1
Long‐Time Asymptotics of Solutions for Any n$n$‐Component Focusing Nonlinear Schrödinger Equations in Spacetime Solitonic Regions	1
Long‐time asymptotics of solution for the fifth‐order modified KdV equation in the presence of discrete spectrum	1
Approximations of the Helmholtz equation with variable wave number in one dimension	1
Rational solutions of the fifth Painlevé equation. Generalized Laguerre polynomials	1
Extended symmetry analysis of (1+2)‐dimensional fine Kolmogorov backward equation	1
Classification of spatial dynamics of a vector–host epidemic model in advective heterogeneous environment	1
The Dimension of the Disguised Toric Locus of a Reaction Network	1
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Backward bifurcation and permanence of a disease‐severity‐structured epidemic model with treatment	1
Mathematical topics in compressible flows from single‐phase systems to two‐phase averaged systems	1
KPP fronts in shear flows with cutoff reaction rates	1
On the Double Moore–Gibson–Thompson System of Thermoviscoelasticity	1
Nonlinear systems of PDEs admitting infinite‐dimensional Lie algebras and their connection with Ricci flows	1
Self‐contained two‐layer shallow‐water theory of strong internal bores	1
Singularity formation for the relativistic Euler equations of Chaplygin gases in Schwarzschild spacetime	1
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Predator–prey model with sigmoid functional response	1
Dynamics of a Nonlocal Dispersal Population Model With Annually Synchronized Emergence of Adults	1
Stability of fronts in the diffusive Rosenzweig–MacArthur model	1
Invasion analysis of a two‐species Lotka–Volterra competition model in an advective patchy environment	1
Angular traveling waves of the high‐dimensional Boussinesq equation	1
A note about the invariance of the basic reproduction number for stochastically perturbed SIS models	1
A Front‐Fixing Numerical Method for a Free‐Boundary Nonlocal Diffusion Logistic Model	1
Inverse scattering transform for continuous and discrete space‐time‐shifted integrable equations	1
Near‐optimal control of a stochastic model for mountain pine beetles with pesticide application	1
Nonlinear Fourier Transforms for the Sawada–Kotera Equation on the Line	1
Rarefaction Wave Interaction and Existence of a Global Smooth Solution in the Blood Flow Model With Time‐Dependent Body Force	1
Dynamics of a nonlocal dispersal in‐host viral model with humoral immunity	1
Preface: Nonlinear waves in honor of Harvey Segur on the occasion of his 80th birthday	1
Analysis of a Radiotherapy Model for Brain Tumors	1
Using Multidelay Discrete Delay Differential Equations to Accurately Simulate Models With Distributed Delays	1
The bilateral birth–death chain generated by the associated Jacobi polynomials	1
On the dynamics of an epidemic patch model with mass‐action transmission mechanism and asymmetric dispersal patterns	1
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On the existence and regularity of solutions of semihyperbolic patches to 2‐D Euler equations with van der Waals gas	1