Studies in Applied Mathematics

Article	Citations
	79
Asymptotic Properties of Special Function Solutions of the Painlevé III Equation for Fixed Parameters	67
Well‐posedness of generalized KdV and one‐dimensional fourth‐order derivative nonlinear Schrödinger equations for data with an infinite L2 norm	51
	51
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	38
Large‐time asymptotics to the focusing nonlocal modified Kortweg‐de Vries equation with step‐like boundary conditions	32
	28
Inverse scattering transform for the two‐component Gerdjikov–Ivanov equation with nonzero boundary conditions: Dark‐dark solitons	25
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Asymptotic spatial behavior for the heat equation on noncompact regions	23
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Solving a Singular Limit Problem Arising With Euler–Korteweg Dispersive Waves	23
Global dynamics of a two‐stage structured diffusive population model in time‐periodic and spatially heterogeneous environments	22
Asymptotics of polynomials orthogonal with respect to a generalized Freud weight with application to special function solutions of Painlevé‐IV	21
Invariant Manifolds in a Class‐Structured Model From Adaptive Dynamics	21
A boundary layer problem in nonflat domains with measurable viscous coefficients	21
Properties of given and detected unbounded solutions to a class of chemotaxis models	19
The multi elliptic‐localized solutions and their asymptotic behaviors for the mKdV equation	19
Revivals, or the Talbot effect, for the Airy equation	19
From primary HPV infection to carcinoma in situ: A mathematical approach to cervical intraepithelial neoplasia	18
Higher‐order integrable models for oceanic internal wave–current interactions	18
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Hamiltonian mechanics of “magnetic” solitons in two‐component Bose–Einstein condensates	16
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Exotic wave patterns in Riemann problem of the high‐order Jaulent–Miodek equation: Whitham modulation theory	15
Turing bifurcation in activator–inhibitor (depletion) models with cross‐diffusion and nonlocal terms	14
Mass and spring dimer Fermi–Pasta–Ulam–Tsingou nanopterons with exponentially small, nonvanishing ripples	14
Initial boundary value problem for a class of wave equations of Hartree type	13
Breather solutions for a quasi‐linear ‐dimensional wave equation	13
Some exact and approximate solutions to a generalized Maxwell–Cattaneo equation	13
General boundary conditions for a Boussinesq model with varying bathymetry	12
Inversion formula for an integral geometry problem over surfaces of revolution	12
Hyperbolicity study of the modulation equations for the Benjamin–Bona–Mahony equation	12
Riemann problem for isentropic magnetogasdynamics in a variable cross‐section duct	11
Modal decompositions and point scatterer approximations near the Minnaert resonance frequencies	11
New finite volume approach for multidimensional Smoluchowski equation on nonuniform grids	11
The KP limit of a reduced quantum Euler–Poisson equation	11
Oscillatory and regularized shock waves for a modified Serre–Green–Naghdi system	10
Weak Solutions and Simulations for a Generalized Phase‐Field Crystal Model With Neumann Boundary Conditions	10
	9
Transverse spectral instabilities in Konopelchenko–Dubrovsky equation	9
Efficient numerical solution of one‐phase linear inverse Stefan and Cauchy–Stefan problems in two dimensions: A posteriori error control	9
Rigorous justification of the Whitham modulation equations for equations of Whitham type	9
Linear integral equations and two‐dimensional Toda systems	9
The Riemann Problem for the Flow Pattern in Deviated Pipes Carrying Isentropic Two‐Phase Flows	9
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Spectral and linear stability of peakons in the Novikov equation	8
Traveling capillary waves on the boundary of a fluid disc	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
	7
Traveling Viral Waves for a Spatial May–Nowak Model with Hybrid Local and Nonlocal Dispersal	7
Preface: Integrable systems and their applications, celebrating the 70th birthday of Athanassios S. Fokas	7
Instability of near‐extreme solutions to the Whitham equation	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
Evolution of Dispersal in Open Advective Patchy Environments	7
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Dynamics for a Diffusive Epidemic Model With a Free Boundary: Spreading Speed	7
The degenerate hyperbolic problem for the two‐dimensional nonlinear wave system	7
One class of MHD equations: Conservation laws and exact solutions	6
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Kirillov structures and reduction of Hamiltonian systems by scaling and standard symmetries	6
Spatiotemporal dynamics in a twisted, circular waveguide array	6
Stationary coupled KdV systems and their Stäckel representations	6
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Nonintegrability of the Painlevé IV equation in the Liouville–Arnold sense and Stokes phenomena	6
Exceptional Hahn and Jacobi polynomials with an arbitrary number of continuous parameters	6
Stokes flow solutions in infinite and semi‐infinite porous channels	6
Planar Schrödinger–Poisson system with exponential critical growth: Local well‐posedness and standing waves with prescribed mass	6
A stochastic model for malaria and its behavior under insecticide‐treated nets	6
Analytic shock‐fronted solutions to a reaction–diffusion equation with negative diffusivity	6
Asymptotics of the deformed Fredholm determinant of the confluent hypergeometric kernel	5
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Perturbed conformal invariance and Mei adiabatic invariants of the generalized perturbed Hamiltonian systems with additional terms	5

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Asymptotic profiles of a spatial vector‐borne disease model with Fokker–Planck‐type diffusion	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
Consensus‐based sampling	5
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Emergence of Well‐Ordering and Clustering for a First‐Order Nonlinear Consensus Model	5
Multisoliton interactions approximating the dynamics of breather solutions	5
The Darboux Matrices With a Single Multiple Pole and Their Applications	5
Matrix‐Valued Cauchy Bi‐Orthogonal Polynomials and a Novel Noncommutative Integrable Lattice	5
Orthogonal polynomials on a class of planar algebraic curves	5
Tau‐function formulation for bright, dark soliton and breather solutions to the massive Thirring model	5
Traveling waves, blow‐up, and extinction in the Fisher–Stefan model	5
Soliton interactions and Yang–Baxter maps for the complex coupled short‐pulse equation	5
Stability in distribution for age‐structured HIV model with delay and driven by Ornstein–Uhlenbeck process	4
On the emergent behavior of the swarming models on the complex sphere	4
In Search of Rogue Waves: A Novel Proposal Distribution for Parallelized Rejection Sampling of the Truncated KdV Gibbs Measure	4
Multiple orthogonal polynomials associated with the exponential integral	4
Riemann problems for generalized gas dynamics	4
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Exponentially localized interface eigenmodes in finite chains of resonators	4
On nonstandard chemotactic dynamics with logistic growth induced by a modified complex Ginzburg–Landau equation	4
Spatiotemporal dynamics of a diffusive consumer‐resource model with explicit spatial memory	4
Higher dimensional generalization of the Benjamin‐Ono equation: 2D case	4
Complete classification of local conservation laws for generalized Cahn–Hilliard–Kuramoto–Sivashinsky equation	4
Forest fire spreading: A nonlinear stochastic model continuous in space and time	4
A free boundary problem with resource‐dependent motility in a weak heterogeneous environment	4
Dynamics Analysis for Diffusive Resource‐Consumer Model With Nonlocal Discrete Memory	4
Degenerate Cauchy–Goursat problem for 2‐D steady isentropic Euler system with van der Waals gas	4
A modern concept of Lagrangian hydrodynamics	4
Numerical Approaches in Nonlinear Fourier Transform‐Based Signal Processing for Telecommunications	4
Uniform (very) sharp bounds for ratios of parabolic cylinder functions	4
Roughness‐induced effects on the thermomicropolar fluid flow through a thin domain	4
Hydrodynamics of a discrete conservation law	4
Classical Multiple Orthogonal Polynomials for Arbitrary Number of Weights and Their Explicit Representation	4
Nonlinearizable solutions in an eigenvalue problem for Maxwell's equations with nonhomogeneous nonlinear permittivity in a layer	4
Nonconstant steady states and pattern formations of generalized 1D cross‐diffusion systems with prey‐taxis	4
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Dynamics of 2D fluid in bounded domain via conformal variables	4
A Lagrangian for Compressible Flow Focusing on Dissipation due to Thermal Conduction	4
The Maximal Lyapunov Exponent of a Stochastic Bautin Bifurcation System	4
Spectral Jacobi approximations for Boussinesq systems	3
Determinantal approach to multiple orthogonal polynomials and the corresponding integrable equations	3
Multidomain spectral approach to rational‐order fractional derivatives	3
Predator–prey systems with a variable habitat for predators in advective environments	3
Capillary‐gravity solitary waves on water of finite depth interacting with a linear shear current	3
Dynamical analysis of a degenerate and time delayed virus infection model with spatial heterogeneity	3
Subharmonic dynamics of wave trains in the Korteweg‐de Vries/Kuramoto‐Sivashinsky equation	3
The effects of viscosity on the linear stability of damped Stokes waves, downshifting, and rogue wave generation	3
Spectral analysis of a viscoelastic tube conveying fluid with generalized boundary conditions	3
Analytical and numerical solutions for the boundary layer flow and heat transfer over a moving wedge in Casson fluid	3
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Laguerre–Freud equations for three families of hypergeometric discrete orthogonal polynomials	3
Landscape of wave focusing and localization at low frequencies	3
Pullback Attractors for Nonclassical Diffusion Equations With a Delay Operator	3
Symmetries of the DΔmKP hierarchy and their continuum limits	3
Rogue waves in the massive Thirring model	3
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Impact of mixed boundary conditions and nonsmooth data on layer‐originated nonpremixed combustion problems: Higher‐order convergence analysis	3
Stability of smooth periodic travelling waves in the Camassa–Holm equation	3
Large x$x$ Asymptotics of the Soliton Gas for the Nonlinear Schrödinger Equation	3
Random dynamics and limiting behaviors for 3D globally modified Navier–Stokes equations driven by colored noise	3
A Theory of Generalized Coordinates for Stochastic Differential Equations	3
Concentric‐Ring Patterns of Higher‐Order Lumps in the Kadomtsev–Petviashvili I Equation	3
Elastodynamical resonances and cloaking of negative material structures beyond quasistatic approximation	3
Asymptotics of solutions to periodic problem for the Korteweg–de Vries–Burgers equation	3
Augmented Total Variation Regularization in Radon‐Type Inverse Problems	3
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Numerical study of the Amick–Schonbek system	3
Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation	3
Study of optimal subalgebras, invariant solutions, and conservation laws for a Verhulst biological population model	3
On a Bistable Delayed Nonlinear Reaction–Diffusion Equation for a Two‐Phase Free Boundary: Semi‐Wave and Its Numerical Simulation	3
Two‐Dimensional Fractional Discrete Nonlinear Schrödinger Equations: Dispersion Relations, Rogue Waves, Fundamental, and Vortex Solitons	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
Rogue wave patterns associated with Okamoto polynomial hierarchies	2
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Multiphase solutions and their reductions for a nonlocal nonlinear Schrödinger equation with focusing nonlinearity	2
Isolated periodic traveling waves of some reaction convection diffusion equations	2

Global existence and the time decay estimates of solutions to the compressible quantum Navier–Stokes–Maxwell system in R3$\mathbb {R}^3$	2
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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
On the existence, uniqueness, and stability of periodic waves for the fractional Benjamin–Bona–Mahony equation	2
The elliptical vortices, integrable Ermakov structure, Schrödinger connection, and Lax pair in the compressible Navier–Stokes equation	2
Turing Instability and Dynamic Bifurcation for the One‐Dimensional Gray–Scott Model	2
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Stability of bound states for regularized nonlinear Schrödinger equations	2
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Steady Boussinesq convection: Parametric analyticity and computation	2
Dynamics of a Nonlocal Dispersal Population Model With Annually Synchronized Emergence of Adults	2
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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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Singularity formation for the relativistic Euler equations of Chaplygin gases in Schwarzschild spacetime	2
On the stochastic robustness of complete clustering predictability for a first‐order consensus model	2
Whitham modulation theory for the Zakharov–Kuznetsov equation and stability analysis of its periodic traveling wave solutions	2
Geometrical correspondence of the Miura transformation induced from affine Kac–Moody algebras	2
Multiple orthogonal polynomials with respect to Gauss' hypergeometric function	2
Hungry Lotka–Volterra lattice under nonzero boundaries, block‐Hankel determinant solution, and biorthogonal polynomials	2
Nonlinear mirror image method for nonlinear Schrödinger equation: Absorption/emission of one soliton by a boundary	2
Two‐phase magma flow with phase exchange: Part I. Physical modeling of a volcanic conduit	2
Large Deviation Principles of Fractional Stochastic Nonclassical Diffusion Equations on Unbounded Domains	2
The coupled Hirota equations with a 3×3$3\times 3$ Lax pair: Painlevé‐type asymptotics in transition zone	2
Stability of Standing Periodic Waves in the Massive Thirring Model	2
Symmetry Analysis of the Two‐Dimensional Stationary Magnetogasdynamics Equations With Coriolis Force in Lagrangian Coordinates	2
From the AKNS system to the matrix Schrödinger equation with vanishing potentials: Direct and inverse problems	2
Viability of circle and sphere theorems in potential theory and hydrodynamics via Maxwell's conjecture	2
Weakly Compressible Approximation of the Taylor–Green Vortex Solution	2
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David J. Kaup and Boson Stars	2
Lump chains in the KP‐I equation	2
Windowed Green function method for wave scattering by periodic arrays of 2D obstacles	2
Completely resonant collision of lumps and line solitons in the Kadomtsev–Petviashvili I equation	2
Orthogonal Laurent Polynomials of Two Real Variables	2
Dynamic analysis of a stochastic eco‐epidemiological model with disease in predators	1
On the existence and regularity of solutions of semihyperbolic patches to 2‐D Euler equations with van der Waals gas	1
Impact of nonlocal dispersal and time periodicity on the global exponential stability of bistable traveling waves	1
Thermal Convection in a Linearly Viscous Fluid Overlying a Bidisperse Porous Medium	1
An Integrable Two‐Component Degasperis–Procesi Equation	1
Complex Band Structure for Subwavelength Evanescent Waves	1
Multidimensional conservation laws and integrable systems II	1
Spatiotemporal propagation of a time‐periodic reaction–diffusion SI epidemic model with treatment	1
Classification of spatial dynamics of a vector–host epidemic model in advective heterogeneous environment	1
Exact solitary wave solutions for a coupled gKdV–Schrödinger system by a new ODE reduction method	1
Dynamics of a nonlocal dispersal in‐host viral model with humoral immunity	1
Exploring the interplay between memory effects and vesicle dynamics: A five‐dimensional analysis using rigid sphere models and mapping techniques	1
Rational solutions of the fifth Painlevé equation. Generalized Laguerre polynomials	1
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Stability of fronts in the diffusive Rosenzweig–MacArthur model	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
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
Asymptotic distribution of the eigenvalues of the bending‐torsion vibration model with fully nondissipative boundary feedback	1
Mathematical topics in compressible flows from single‐phase systems to two‐phase averaged systems	1
Self‐contained two‐layer shallow‐water theory of strong internal bores	1
Unveiling measles transmission dynamics: Insights from a stochastic model with nonlinear incidence	1
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Extended symmetry analysis of (1+2)‐dimensional fine Kolmogorov backward equation	1
Quantitative analysis of passive intermodulation and surface roughness	1
Preface: Nonlinear waves in honor of Harvey Segur on the occasion of his 80th birthday	1
A note about the invariance of the basic reproduction number for stochastically perturbed SIS models	1
Predator–prey model with sigmoid functional response	1
Inverse scattering transform for continuous and discrete space‐time‐shifted integrable equations	1
Global dynamics and spatiotemporal patterns of a two‐species chemotaxis system with chemical signaling loop and Lotka–Volterra competition	1
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Angular traveling waves of the high‐dimensional Boussinesq equation	1
Invasion analysis of a two‐species Lotka–Volterra competition model in an advective patchy environment	1
Explicit exact solutions for plane shock waves in dilute polyatomic gases	1
An application of a qd‐type discrete hungry Lotka–Volterra equation over finite fields to a decoding problem	1
KP reductions and various soliton solutions to the Fokas–Lenells equation under nonzero boundary condition	1
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On the Whitham system for the (2+1)‐dimensional nonlinear Schrödinger equation	1
Asymptotic Behaviors of Chandrasekhar Variational Problem for Neutron Stars With Slater‐Type Modification	1
Well‐posedness and control in a hyperbolic–parabolic parasitoid–parasite system	1
On the dynamics of an epidemic patch model with mass‐action transmission mechanism and asymmetric dispersal patterns	1
KPP fronts in shear flows with cutoff reaction rates	1
On the Double Moore–Gibson–Thompson System of Thermoviscoelasticity	1
Backward bifurcation and permanence of a disease‐severity‐structured epidemic model with treatment	1
Stability and optimal decay for the 3D anisotropic magnetohydrodynamic equations	1
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Bifurcations and global dynamics of a predator–prey mite model of Leslie type	1
Nonuniform laminated beam of Lord–Shulman type	1
Nonlinear systems of PDEs admitting infinite‐dimensional Lie algebras and their connection with Ricci flows	1
Epidemic dynamics and spatial segregation driven by cognitive diffusion and nonlinear incidence	1
Approximations of the Helmholtz equation with variable wave number in one dimension	1
Long‐time asymptotics of solution for the fifth‐order modified KdV equation in the presence of discrete spectrum	1
Soliton–mean field interaction in Korteweg–de Vries dispersive hydrodynamics	1
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Spatial propagation of a lattice predation–competition system with one predator and two preys in shifting habitats	1
Rigorous estimates on mechanical balance laws in the Boussinesq–Peregrine equations	1
On the linearized system of equations for the condensate–normal fluid interaction at very low temperature	1