Studies in Applied Mathematics

Article	Citations
	79
Well‐posedness of generalized KdV and one‐dimensional fourth‐order derivative nonlinear Schrödinger equations for data with an infinite L2 norm	65
Three‐dimensional elastic beam frames: Rigid joint conditions in variational and differential formulation	51
Riemann–Hilbert method to the Ablowitz–Ladik equation: Higher‐order cases	50
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Large‐time asymptotics to the focusing nonlocal modified Kortweg‐de Vries equation with step‐like boundary conditions	37
Optimal quarantine‐related strategies for COVID‐19 control models	31
Asymptotic Properties of Special Function Solutions of the Painlevé III Equation for Fixed Parameters	28
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A boundary layer problem in nonflat domains with measurable viscous coefficients	23
Inverse scattering transform for the two‐component Gerdjikov–Ivanov equation with nonzero boundary conditions: Dark‐dark solitons	23
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Properties of given and detected unbounded solutions to a class of chemotaxis models	22
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The multi elliptic‐localized solutions and their asymptotic behaviors for the mKdV equation	20
Solving a Singular Limit Problem Arising With Euler–Korteweg Dispersive Waves	20
Asymptotic spatial behavior for the heat equation on noncompact regions	19
Revivals, or the Talbot effect, for the Airy equation	19
Global dynamics of a two‐stage structured diffusive population model in time‐periodic and spatially heterogeneous environments	18
Invariant Manifolds in a Class‐Structured Model From Adaptive Dynamics	18
Asymptotics of polynomials orthogonal with respect to a generalized Freud weight with application to special function solutions of Painlevé‐IV	16
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From primary HPV infection to carcinoma in situ: A mathematical approach to cervical intraepithelial neoplasia	15
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Hyperbolicity study of the modulation equations for the Benjamin–Bona–Mahony equation	14

Higher‐order integrable models for oceanic internal wave–current interactions	14
Initial boundary value problem for a class of wave equations of Hartree type	13
Hamiltonian mechanics of “magnetic” solitons in two‐component Bose–Einstein condensates	13
Weak Solutions and Simulations for a Generalized Phase‐Field Crystal Model With Neumann Boundary Conditions	13
General boundary conditions for a Boussinesq model with varying bathymetry	13
Exotic wave patterns in Riemann problem of the high‐order Jaulent–Miodek equation: Whitham modulation theory	12
Inversion formula for an integral geometry problem over surfaces of revolution	12
The KP limit of a reduced quantum Euler–Poisson equation	12
Modal decompositions and point scatterer approximations near the Minnaert resonance frequencies	12
Breather solutions for a quasi‐linear ‐dimensional wave equation	11
Turing bifurcation in activator–inhibitor (depletion) models with cross‐diffusion and nonlocal terms	11
Some exact and approximate solutions to a generalized Maxwell–Cattaneo equation	11
Mass and spring dimer Fermi–Pasta–Ulam–Tsingou nanopterons with exponentially small, nonvanishing ripples	11
New finite volume approach for multidimensional Smoluchowski equation on nonuniform grids	10
Oscillatory and regularized shock waves for a modified Serre–Green–Naghdi system	10
Riemann problem for isentropic magnetogasdynamics in a variable cross‐section duct	10
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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?	9
Efficient numerical solution of one‐phase linear inverse Stefan and Cauchy–Stefan problems in two dimensions: A posteriori error control	9
Traveling capillary waves on the boundary of a fluid disc	8
Transverse spectral instabilities in Konopelchenko–Dubrovsky equation	8
Linear integral equations and two‐dimensional Toda systems	8
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The Riemann Problem for the Flow Pattern in Deviated Pipes Carrying Isentropic Two‐Phase Flows	7
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Spectral and linear stability of peakons in the Novikov equation	7
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
Rigorous justification of the Whitham modulation equations for equations of Whitham type	7
Traveling Viral Waves for a Spatial May–Nowak Model with Hybrid Local and Nonlocal Dispersal	6
Existence of solutions to gas expansion problem through a sharp corner for 2‐D Euler equations with general equation of state	6
Exceptional Hahn and Jacobi polynomials with an arbitrary number of continuous parameters	6
Analytic shock‐fronted solutions to a reaction–diffusion equation with negative diffusivity	6
One class of MHD equations: Conservation laws and exact solutions	6
Spatiotemporal dynamics in a twisted, circular waveguide array	6
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The degenerate hyperbolic problem for the two‐dimensional nonlinear wave system	6
Stationary coupled KdV systems and their Stäckel representations	6
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Preface: Integrable systems and their applications, celebrating the 70th birthday of Athanassios S. Fokas	6
Instability of near‐extreme solutions to the Whitham equation	6
Perturbed conformal invariance and Mei adiabatic invariants of the generalized perturbed Hamiltonian systems with additional terms	5
A stochastic model for malaria and its behavior under insecticide‐treated nets	5
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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
Evolution of Dispersal in Open Advective Patchy Environments	5
On mixed problem of Chaplygin's hodograph equation in hyperbolic domain near the parabolic degenerate line	5
Kirillov structures and reduction of Hamiltonian systems by scaling and standard symmetries	5

Spatial Movement With Explicit Memory and Nonlocal Pregnancy Delay	5
Rogue waves and lumps on the nonzero background in the ‐symmetric nonlocal Maccari system	5
Nonintegrability of the Painlevé IV equation in the Liouville–Arnold sense and Stokes phenomena	5
Stokes flow solutions in infinite and semi‐infinite porous channels	5
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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
Matrix‐Valued Cauchy Bi‐Orthogonal Polynomials and a Novel Noncommutative Integrable Lattice	5
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Asymptotic profiles of a spatial vector‐borne disease model with Fokker–Planck‐type diffusion	4
Stability in distribution for age‐structured HIV model with delay and driven by Ornstein–Uhlenbeck process	4
Multisoliton interactions approximating the dynamics of breather solutions	4
Roughness‐induced effects on the thermomicropolar fluid flow through a thin domain	4
Higher dimensional generalization of the Benjamin‐Ono equation: 2D case	4
Numerical Approaches in Nonlinear Fourier Transform‐Based Signal Processing for Telecommunications	4
On nonstandard chemotactic dynamics with logistic growth induced by a modified complex Ginzburg–Landau equation	4
Soliton interactions and Yang–Baxter maps for the complex coupled short‐pulse equation	4
Hydrodynamics of a discrete conservation law	4
The Maximal Lyapunov Exponent of a Stochastic Bautin Bifurcation System	4
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Consensus‐based sampling	4
Exponentially localized interface eigenmodes in finite chains of resonators	4
On the emergent behavior of the swarming models on the complex sphere	4
A Lagrangian for Compressible Flow Focusing on Dissipation due to Thermal Conduction	4
Uniform (very) sharp bounds for ratios of parabolic cylinder functions	4
A modern concept of Lagrangian hydrodynamics	4
Emergence of Well‐Ordering and Clustering for a First‐Order Nonlinear Consensus Model	4
Traveling waves, blow‐up, and extinction in the Fisher–Stefan model	4
The Darboux Matrices With a Single Multiple Pole and Their Applications	4
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Spatiotemporal dynamics of a diffusive consumer‐resource model with explicit spatial memory	4
In Search of Rogue Waves: A Novel Proposal Distribution for Parallelized Rejection Sampling of the Truncated KdV Gibbs Measure	4
Classical Multiple Orthogonal Polynomials for Arbitrary Number of Weights and Their Explicit Representation	4
Dynamics of 2D fluid in bounded domain via conformal variables	4
Landscape of wave focusing and localization at low frequencies	3
A free boundary problem with resource‐dependent motility in a weak heterogeneous environment	3
Forest fire spreading: A nonlinear stochastic model continuous in space and time	3
Multiple orthogonal polynomials associated with the exponential integral	3
Numerical study of the Amick–Schonbek system	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
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
Subharmonic dynamics of wave trains in the Korteweg‐de Vries/Kuramoto‐Sivashinsky equation	3
Complete classification of local conservation laws for generalized Cahn–Hilliard–Kuramoto–Sivashinsky equation	3
Riemann problems for generalized gas dynamics	3
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Laguerre–Freud equations for three families of hypergeometric discrete orthogonal polynomials	3
Dynamics Analysis for Diffusive Resource‐Consumer Model With Nonlocal Discrete Memory	3
Study of optimal subalgebras, invariant solutions, and conservation laws for a Verhulst biological population model	3
Concentric‐Ring Patterns of Higher‐Order Lumps in the Kadomtsev–Petviashvili I Equation	3
Spectral analysis of a viscoelastic tube conveying fluid with generalized boundary conditions	3
Multidomain spectral approach to rational‐order fractional derivatives	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
Degenerate Cauchy–Goursat problem for 2‐D steady isentropic Euler system with van der Waals gas	3
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Nonlinearizable solutions in an eigenvalue problem for Maxwell's equations with nonhomogeneous nonlinear permittivity in a layer	3
Spectral Jacobi approximations for Boussinesq systems	3
Predator–prey systems with a variable habitat for predators in advective environments	3
Stability of smooth periodic travelling waves in the Camassa–Holm equation	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
Nonlinear mirror image method for nonlinear Schrödinger equation: Absorption/emission of one soliton by a boundary	2
The effects of viscosity on the linear stability of damped Stokes waves, downshifting, and rogue wave generation	2
Stability of bound states for regularized nonlinear Schrödinger equations	2
Asymptotics of solutions to periodic problem for the Korteweg–de Vries–Burgers equation	2
Pullback Attractors for Nonclassical Diffusion Equations With a Delay Operator	2
Rogue waves in the massive Thirring model	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
Inversion of the two‐data circular Radon transform centered on a curve on C(R2)${\cal C}(\mathbf {R}^2)$	2
The Riemann–Hilbert approach for the integrable fractional Fokas–Lenells equation	2
David J. Kaup and Boson Stars	2
The elliptical vortices, integrable Ermakov structure, Schrödinger connection, and Lax pair in the compressible Navier–Stokes equation	2
Weakly Compressible Approximation of the Taylor–Green Vortex Solution	2
Two‐phase magma flow with phase exchange: Part I. Physical modeling of a volcanic conduit	2
Capillary‐gravity solitary waves on water of finite depth interacting with a linear shear current	2
Symmetries of the DΔmKP hierarchy and their continuum limits	2
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Dynamical analysis of a degenerate and time delayed virus infection model with spatial heterogeneity	2
Curved wedges in the long‐time asymptotics for the integrable nonlocal nonlinear Schrödinger equation	2
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Large x$x$ Asymptotics of the Soliton Gas for the Nonlinear Schrödinger Equation	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
Lump chains in the KP‐I equation	2
Geometrical correspondence of the Miura transformation induced from affine Kac–Moody algebras	2
Windowed Green function method for wave scattering by periodic arrays of 2D obstacles	2
Turing Instability and Dynamic Bifurcation for the One‐Dimensional Gray–Scott Model	2
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Completely resonant collision of lumps and line solitons in the Kadomtsev–Petviashvili I equation	2
Steady Boussinesq convection: Parametric analyticity and computation	2
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Two‐Dimensional Fractional Discrete Nonlinear Schrödinger Equations: Dispersion Relations, Rogue Waves, Fundamental, and Vortex Solitons	2
Impact of mixed boundary conditions and nonsmooth data on layer‐originated nonpremixed combustion problems: Higher‐order convergence analysis	2
Rogue wave patterns associated with Okamoto polynomial hierarchies	2
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Mathematical Modeling and Analysis of Atherosclerosis Based on Fluid‐Multilayered Poroelastic Structure Interaction Model	2
Whitham modulation theory for the Zakharov–Kuznetsov equation and stability analysis of its periodic traveling wave solutions	2
On the existence, uniqueness, and stability of periodic waves for the fractional Benjamin–Bona–Mahony equation	2
Hungry Lotka–Volterra lattice under nonzero boundaries, block‐Hankel determinant solution, and biorthogonal polynomials	2
From the AKNS system to the matrix Schrödinger equation with vanishing potentials: Direct and inverse problems	2
Orthogonal Laurent Polynomials of Two Real Variables	2
Isolated periodic traveling waves of some reaction convection diffusion equations	2
Augmented Total Variation Regularization in Radon‐Type Inverse Problems	2
Multiple orthogonal polynomials with respect to Gauss' hypergeometric function	2
Spatial dynamics for an SIRE epidemic model with diffusion and prevention in contaminated environments	1
Stability and optimal decay for the 3D anisotropic magnetohydrodynamic equations	1
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Quantitative analysis of passive intermodulation and surface roughness	1
Orthogonal polynomials on domains of revolution	1
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Soliton–mean field interaction in Korteweg–de Vries dispersive hydrodynamics	1
Asymptotic distribution of the eigenvalues of the bending‐torsion vibration model with fully nondissipative boundary feedback	1
Symmetry Analysis of the Two‐Dimensional Stationary Magnetogasdynamics Equations With Coriolis Force in Lagrangian Coordinates	1
Unveiling measles transmission dynamics: Insights from a stochastic model with nonlinear incidence	1
Multiphase solutions and their reductions for a nonlocal nonlinear Schrödinger equation with focusing nonlinearity	1
Extended symmetry analysis of (1+2)‐dimensional fine Kolmogorov backward equation	1
Global existence and the time decay estimates of solutions to the compressible quantum Navier–Stokes–Maxwell system in R3$\mathbb {R}^3$	1
Stability of fronts in the diffusive Rosenzweig–MacArthur model	1
Complex Band Structure for Subwavelength Evanescent Waves	1
Long‐time asymptotics of solution for the fifth‐order modified KdV equation in the presence of discrete spectrum	1
Rigorous estimates on mechanical balance laws in the Boussinesq–Peregrine equations	1
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Exploring the interplay between memory effects and vesicle dynamics: A five‐dimensional analysis using rigid sphere models and mapping techniques	1
Near‐optimal control of a stochastic model for mountain pine beetles with pesticide application	1
Exact solitary wave solutions for a coupled gKdV–Schrödinger system by a new ODE reduction method	1
Rarefaction Wave Interaction and Existence of a Global Smooth Solution in the Blood Flow Model With Time‐Dependent Body Force	1
An Integrable Two‐Component Degasperis–Procesi Equation	1
Dynamics of a nonlocal dispersal in‐host viral model with humoral immunity	1
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Approximations of the Helmholtz equation with variable wave number in one dimension	1
An application of a qd‐type discrete hungry Lotka–Volterra equation over finite fields to a decoding problem	1
On the Whitham system for the (2+1)‐dimensional nonlinear Schrödinger equation	1
On the stochastic robustness of complete clustering predictability for a first‐order consensus model	1
Epidemic dynamics and spatial segregation driven by cognitive diffusion and nonlinear incidence	1
N‐fold Darboux transformation of the discrete PT‐symmetric nonlinear Schrödinger equation and new soliton solutions over the nonzero background	1
On the almost‐circular symplectic induced Ginibre ensemble	1
Singularity formation for the relativistic Euler equations of Chaplygin gases in Schwarzschild spacetime	1
On analyticity of scattered fields in layered structures with interfacial graphene	1
Invasion analysis of a two‐species Lotka–Volterra competition model in an advective patchy environment	1
Backward bifurcation and permanence of a disease‐severity‐structured epidemic model with treatment	1
Bifurcations and global dynamics of a predator–prey mite model of Leslie type	1
Vector breathers in the Manakov system	1
KP reductions and various soliton solutions to the Fokas–Lenells equation under nonzero boundary condition	1
Nonlinear systems of PDEs admitting infinite‐dimensional Lie algebras and their connection with Ricci flows	1
Predator–prey model with sigmoid functional response	1
The bilateral birth–death chain generated by the associated Jacobi polynomials	1
On the linearized system of equations for the condensate–normal fluid interaction at very low temperature	1
KPP fronts in shear flows with cutoff reaction rates	1
Spatial propagation of a lattice predation–competition system with one predator and two preys in shifting habitats	1
Impact of nonlocal dispersal and time periodicity on the global exponential stability of bistable traveling waves	1
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Classification of spatial dynamics of a vector–host epidemic model in advective heterogeneous environment	1
Dynamics of a Nonlocal Dispersal Population Model With Annually Synchronized Emergence of Adults	1
Numerical study of Davey–Stewartson I systems	1
Spatiotemporal propagation of a time‐periodic reaction–diffusion SI epidemic model with treatment	1
Angular traveling waves of the high‐dimensional Boussinesq equation	1
Viability of circle and sphere theorems in potential theory and hydrodynamics via Maxwell's conjecture	1
Explicit exact solutions for plane shock waves in dilute polyatomic gases	1
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Rational solutions of the fifth Painlevé equation. Generalized Laguerre polynomials	1
Erratum: Integrable Systems and Their Applications in Honor of A. S. Fokas Special Issue Erratum Statement	1
Traveling wave solutions in a model for social outbursts in a tension‐inhibitive regime	1
A note about the invariance of the basic reproduction number for stochastically perturbed SIS models	1
Global dynamics and spatiotemporal patterns of a two‐species chemotaxis system with chemical signaling loop and Lotka–Volterra competition	1
Inverse scattering transform for continuous and discrete space‐time‐shifted integrable equations	1