Applied Mathematics Letters

Article	Citations
Simulating the spread of COVID-19 via a spatially-resolved susceptible–exposed–infected–recovered–deceased (SEIRD) model with heterogeneous diffusion	160
Bilinear auto-Bäcklund transformations and soliton solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow water waves	154
Optical waves/modes in a multicomponent inhomogeneous optical fiber via a three-coupled variable-coefficient nonlinear Schrödinger system	132
Water-wave studies on a (2+1)-dimensional generalized variable-coefficient Boiti–Leon–Pempinelli system	117
Generalized Darboux transformation, solitonic interactions and bound states for a coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber	87
The complex-valued astigmatic cosine-Gaussian soliton solution of the nonlocal nonlinear Schrödinger equation and its transmission characteristics	83
Auto-Bäcklund transformations, Lax pair, bilinear forms and bright solitons for an extended (3+1)-dimensional nonlinear Schrödinger equation in an optical fiber	82
Exponential Euler scheme of multi-delay Caputo–Fabrizio fractional-order differential equations	75
Uniqueness of weak solutions to a Keller–Segel–Navier–Stokes system	73
M-lump and hybrid solutions of a generalized (2+1)-dimensional Hirot	73
A novel (3+1)-dimensional sine-Gorden and a sinh-Gorden equation: Derivation, symmetries and conservation laws	72
A spatial–temporal GFDM with an additional condition for transient heat conduction analysis of FGMs	66
On a strong minimum condition of a fractal variational principle	64
Threshold behavior of a stochastic predator–prey system with prey refuge and fear effect	64
Generalized Darboux transformation and solitons for the Ablowitz–Ladik equation in an electrical lattice	64
Loop-like kink breather and its transition phenomena for the Vakhnenko equation arising from high-frequency wave propagation in electromagnetic physics	63
Generalized finite difference method for electroelastic analysis of three-dimensional piezoelectric structures	58
Magneto-optical/ferromagnetic-material computation: Bäcklund transformations, bilinear forms and <	56
The averaging principle of Hilfer fractional stochastic delay differential equations with Poisson jumps	55
Two-layer-liquid and lattice considerations through a (3+1)-dimensional generalized Yu-Toda-Sasa-Fukuyama system	55
Lie group analysis for a higher-order Boussinesq-Burgers system	53
Space–time generalized finite difference nonlinear model for solving unsteady Burgers’ equations	53
Influence of the fear factor on the dynamics of a stochastic predator–prey model	51
Dark soliton solutions for a coupled nonlinear Schrödinger system	47
Fusion and fission phenomena for(2	47

Lax pairs, infinite conservation laws, Darboux transformation, bilinear forms and solitonic interactions for a combined Calogero-Bogoyavlenskii-Schiff-type equation	47
2.5D singular boundary method for acoustic wave propagation	46
Reflecting upon some electromagnetic waves in a ferromagnetic film via a variable-coefficient modified Kadomtsev-Petviashvili system	46
A fast element-free Galerkin method for the fractional diffusion-wave equation	45
Stationary solitons of the generalized nonlinear Schrödinger equation with nonlinear dispersion and arbitrary refractive index	45
N-soliton solutions and dynamic property analysis of a generalized th	45
Three types of Darboux transformation and general soliton solutions for the space-shifted nonlocal 44
Bifurcation solitons and breathers for the nonlocal Boussinesq equations	44
Solution of a fractional logistic ordinary differential equation	42
A GFDM with supplementary nodes for thin elastic plate bending analysis under dynamic loading	42
Resonance Y-type soliton and hybrid solutions of a (2+1)-dimensiona	41
A regularized method of moments for three-dimensional time-harmonic electromagnetic scattering	41
∂̄	40
Doubly localized rogue waves on a background of dark solitons for the Fokas system	40
A novel result on averaging principle of stochastic Hilfer-type fractional system involving non-Lipschitz coefficients	38
An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order	38
Existence of solutions for the (p,	37
Composite slack-matrix-based integral inequality and its application to stability analysis of time-delay systems	37
Second order difference schemes for time-fractional KdV–Burgers’ equation with initial singularity	36
Global dynamics of a controlled discontinuous diffusive SIR epidemic system	36
A generalized nonlocal Gross–Pitaevskii (NGP) equation with an arbitrary time-dependent linear potential	35
New type of multiple lump and rogue wave solutions of the (2+1)-dimensional Bogoyavlenskii–Kadomtsev–Petviashvili equation	35
Existence and uniqueness results for a nonlinear coupled system involving Caputo fractional derivatives with a new kind of coupled boundary conditions	34
On conservative, positivity preserving, nonlinear FV scheme on distorted meshes for the multi-term nonlocal Nagumo-type equations	34
A high-precision numerical approach to solving space fractional Gray-Scott model	33
An element-free Galerkin method for the obstacle problem	33
Wick-type stochastic multi-soliton and soliton molecule solutions in the framework of nonlinear Schrödinger equation	32
A boundary meshless method for dynamic coupled thermoelasticity problems	32
Three-dimensional application of the meshless generalized finite difference method for solving the extended Fisher–Kolmogorov equation	32
A new semi-analytical method for solving a class of time fractional partial differential equations with variable coefficients	31
Second-order Emden–Fowler neutral differential equations: A new precise criterion for oscillation	31
Type (−	31
AKNS type reduced integrable bi-Hamiltonian hierarchies with four potentials	31
Fractional white noise functional soliton solutions of a wick-type stochastic fractional NLSE	31
Bäcklund transformation and multi-soliton solutions for the discrete Korteweg–de Vries equation	30
A kernel regression approach for identification of first order differential equations based on functional data	29
Stationary distribution of a stochastic predator–prey model with hunting cooperation	28
A revisit of the energy quadratization method with a relaxation technique	28
The extension of Rippa’s algorithm beyond LOOCV	28
Reproducing kernel functions based univariate spline interpolation	27
A semi-analytical and boundary-type meshless method with adjoint variable formulation for acoustic design sensitivity analysis	27
The uniform l1	27
Time two-grid technique combined with temporal second order difference method for two-dimensional semilinear fractional sub-diffusion equations	27
Exact solutions and Hyers–Ulam stability for fractional oscillation equations with pure delay	27
Broken and unbroken solutions and dynamic behaviors for the mixed local–nonlocal Schrödinger equation	27
Periodic collision theory of multiple cosine-Hermite-Gaussian solitons in Schrödinger equation with nonlocal nonlinearity	25
Exact sharp-fronted travelling wave solutions of the Fisher–KPP equation	25
Mass- and energy-conserving difference schemes for nonlinear fractional Schrödinger equations	25
Mass- and energy-preserving exponential Runge–Kutta methods for the nonlinear Schrödinger equation	24
An optimal and low computational cost fractional Newton-type method for solving nonlinear equations	24

Ultra-short optical pulses in a birefringent fiber via a generalized coupled Hirota system with the singular manifold and symbolic computation	24
Limit behavior of the solution of Caputo-Hadamard fractional stochastic differential equations	24
A novel kernel functions algorithm for solving impulsive boundary value problems	24
N-soliton solutions for the nonlocal Fokas–Lenells equation via RHP	24
Radial symmetry of standing waves for nonlinear fractional Laplacian Hardy–Schrödinger systems	23
Higher-order rogue waves solutions of the modified Gerdjikov–Ivanov equation with dispersion via generalized Darboux transformation	23
On an open question in recovering Sturm–Liouville-type operators with delay	23
New lump solutions to a (3+1)-dimensional generalized Calogero–Bogoyavlenskii–Schiff equation	22
An averaging result for impulsive fractional neutral stochastic differential equations	22
A second-order modified nonstandard theta method for one-dimensional autonomous differential equations	22
The eigenvalue problem of a singular k-Hessian equation	22
Localized method of fundamental solutions for 2D harmonic elastic wave problems	21
Turing–Hopf bifurcation of a delayed diffusive predator–prey system with chemotaxis and fear effect	21
New rational and breather solutions of a higher-order integrable nonlinear Schrödinger equation	21
Discrete rogue waves and blow-up from solitons of a nonisospectral semi-discrete nonlinear Schrödinger equation	21
Beak-shaped rogue waves for a higher-order coupled nonlinear Schrödinger system with 4 × 4 Lax pair	21
Numerical simulation of anti-plane wave propagation in heterogeneous media	21
Stationary distribution and extinction of a stochastic SVEIS epidemic model incorporating Ornstein–Uhlenbeck process	20
On the generalized eigenvalue problem of Rossby waves vertical velocity under the condition of zonal mean flow and topography	20
Analysis of a superconvergent recursive moving least squares approximation	20
Supercloseness of linear finite element method on Bakhvalov-type meshes for singularly perturbed convection–diffusion equation in 1D	20
New multiple positive solutions for Hadamard-type fractional differential equations with nonlocal conditions on an infinite interval	20
Threshold behavior in a stochastic SVIR model with general incidence rates	20
Dbar-dressing method for the Gerdjikov–Ivanov equation with nonzero boundary conditions	20
Traveling wave fronts for a diffusive Nicholson’s Blowflies equation accompanying mature delay and feedback delay	19
A maximum-principle preserving and unconditionally energy-stable linear second-order finite difference scheme for Allen–Cahn equations	19
Supplementary variable method for structure-preserving approximations to partial differential equations with deduced equations	19
A novel meshfree method based on spatio-temporal homogenization functions for one-dimensional fourth-order fractional diffusion-wave equations	19
Unsteady natural convection boundary layer flow and heat transfer past a vertical flat plate with novel constitution models	19
Dynamical bifurcation and explicit stationary density of a stochastic population model with Allee effects	19
Numerical study of rotating electro-osmotic flow of double layers with a layer of fractional second-order fluid in a microchannel	19
On a modified pseudopotential lattice Boltzmann model for multicomponent flows	19
Nth-order rogue waves for the AB system via the determinants	18
Dark soliton solutions for a variable coefficient higher-order Schrödinger equation in the dispersion decreasing fibers	18
Painlevé analysis, integrability property and multiwave interaction solutions for a new (4+1)-dimensional KdV–Calogero–Bogoyavlenkskii–Schiff equation	18
Dynamics of a toxic producing phytoplankton–zooplankton model with three–dimensional patch	18
Integrability, Darboux transformation and exact solutions for nonlocal couplings of AKNS equations	18
Boundedness criteria for a class of indirect (and direct) chemotaxis-consumption models in high dimensions	18
A non-iterative and unconditionally energy stable method for the Swift–Hohenberg equation with quadratic–cubic nonlinearity	18
Integrable discretizations and soliton solutions of an Eckhaus–Kundu equation	18
Fundamental results to the weighted Caputo-type differential operator	18
Interaction phenomenon to (1+1)-dimensional Sharma–Tasso–Olver–Burgers equation	17
Multi-symplectic simulations of W/M-shape-peaks solitons and cuspons for FORQ equation	17
Controllable rogue wave and mixed interaction solutions for the coupled Ablowitz–Ladik equations with branched dispersion	17
An efficient meshless method for bimaterial interface cracks in 2D thin-layered coating structures	17
Relaxation oscillations for Leslie-type predator–prey model with Holling Type I response functional function	17
Nondegenerate solitons and collision dynamics of the variable-coefficient coupled higher-order nonlinear Schrödinger model via the Hirota method	17
A complex short pulse system in optical-fiber communications: Rogue waves and phase transitions	17
Existence and multiplicity solutions for discrete Kirchhoff type problems	17
Second order fully decoupled and unconditionally energy-stable finite element algorithm for the incompressible MHD equations	16
The space–time generalized finite difference scheme for solving the nonlinear equal-width equation in the long-time simulation	16
Breathing-soliton and singular rogue wave solutions for a discrete nonlocal coupled Ablowitz–Ladik equation of reverse-space type	16
A localized extrinsic collocation method for Turing pattern formations on surfaces	16
Constant sign solutions for double phase problems with variable exponents	16
Mixed localized wave solutions of the Hirota equation	16
Fast identification of short, sound-soft open arcs by the orthogonality sampling method in the limited-aperture inverse scattering problem	16
Semi-discretized numerical solution for time fractional convection–diffusion equation by RBF-FD	16
A stochastic extended Rippa’s algorithm for LpOCV	16
Theoretical and numerical analysis of monotonicity results for fractional difference operators	16
Mathematical model with unrestricted dispersion and polynomial nonlinearity	16
A novel integral inequality and its application to stability analysis of linear system with multiple time delays	15
Adaptive scaling damped BFGS method without gradient Lipschitz continuity	15
Theory for the interaction of pure-quartic solitons	15
Relaxation oscillations of a slow–fast predator–prey model with a piecewise smooth functional response	15
The Schrödinger–Poisson system with p-Laplacian	15
Representation of solutions of linear conformable delay differential equations	15
Theoretical analysis of time-reassigned synchrosqueezing wavelet transform	15
Global boundedness in the higher-dimensional chemotaxis system with indirect signal production and rotational flux	14
Some reverse space(RS) rational solutions for the nonlocal coupled nonlinear Schrödinger equations on the plane wave backgrounds	14
Linear relaxation schemes for the Allen–Cahn-type and Cahn–Hilliard-type phase field models	14
Iterative properties of solution for a general singularn-Hessian equat	14
Vaccination in a two-group epidemic model	14
A meshless method in reproducing kernel space for solving variable-order time fractional advection–diffusion equations on arbitrary domain	14
Singular value decomposition of third order quaternion tensors	14
Boundedness in a three-dimensional Keller–Segel–Stokes system with subcritical sensitivity	14
Triple-pole soliton solutions of the derivative nonlinear Schrödinger equation via inverse scattering transform	14
Uniform upper bound for the number of limit cycles of planar piecewise linear differential systems with two zones separated by a straight line	14
Some general bright soliton solutions and interactions for a (2＋1)-dimensional nonlocal nonlinear Schrödinger equation	14
Whitham modulation theory of the defocusing AB system and its application	14
High-dimensional vector solitons for a variable-coefficient partially nonlocal coupled Gross–Pitaevskii equation in a harmonic potential	14

A gradient descent method for solving a system of nonlinear equations	14
Rogue wave solutions and modulation instability for the mixed nonlinear Schrödinger equation	14
Global stability for a delayed HIV reactivation model with latent infection and Beddington–DeAngelis incidence	14
A hybrid numerical method for non-linear transient heat conduction problems with temperature-dependent thermal conductivity	13
The study of exact and numerical solutions of the generalized viscous Burgers’ equation	13
Semirational rogue waves of the three coupled higher-order nonlinear Schrödinger equations	13
A hybrid kernel functions collocation approach for boundary value problems with Caputo fractional derivative	13
A new kind of modulus-based matrix splitting methods for vertical linear complementarity problems	13
Comparison of standard and stabilization free Virtual Elements on anisotropic elliptic problems	13
Multiple-order rogue waves for the generalized (213
Bilinear form and soliton solutions for a higher order wave equation	13
A novel homogenization function method for inverse source problem of nonlinear time-fractional wave equation	13
Optimal impulsive harvesting strategy of a stochastic Gompertz model in periodic environments	13
Mixed stochastic differential equations: Averaging principle result	13
Boundedness analysis of stochastic pantograph differential systems	13
Homoclinic solutions of discrete prescribed mean curvature equations with mixed nonlinearities	13
Existence and uniqueness of a weak solution to a non-autonomous time-fractional diffusion equation (of distributed order)	13
Numerical study for the unsteady space fractional magnetohydrodynamic free convective flow and heat transfer with Hall effects	12
Space-curved resonant solitons and interaction solutions of the (2+1)-dimensional Ito equation	12
A four-component hierarchy of combined integrable equations with bi-Hamiltonian formulations	12
Positive solutions for fractional Schrödinger–Poisson systems with doubly critical exponents	12
Exact solutions for a variable-coefficients nonisospectral nonlinear Schrödinger equation via Wronskian technique	12
Global existence and uniqueness of a periodic wave solution of the generalized Burgers–Fisher equation	12
A conservative Allen–Cahn equation with a curvature-dependent Lagrange multiplier	12
Simultaneous uniqueness for an inverse problem in a time-fractional diffusion equation	12
A new algorithm based on improved Legendre orthonormal basis for solving second-order BVPs	12
Darboux transformation to the nonlocal complex short pulse equation	12
Some localized wave solutions for the coupled Gerdjikov–Ivanov equation	12
Reconstruction for Sturm–Liouville operators with frozen argument for irrational cases	12
The stationary distribution of a stochastic SIQS epidemic model with varying total population size	12
Nitsche’s type stabilized finite element method for the fully mixed Stokes–Darcy problem with Beavers–Joseph conditions	12
Existence and stability of solution for nonlinear differential equations with ψ	12
New stability criterion for time-delay systems via an augmented Lyapunov–Krasovskii functional	12
Exact minimum speed of traveling waves in a Keller–Segel model	11
New solutions to the differential-difference KP equation	11
A modified multivariate spectral gradient algorithm for solving absolute value equations	11
Breather, soliton–breather interaction and double-pole solutions of the fifth-order modified KdV equation	11
An effective operator splitting scheme for two-dimensional conservative nonlocal Allen–Cahn equation	11
A note on Euler method for the overdamped generalized Langevin equation with fractional noise	11
A novel semi-analytical meshless method for the thickness optimization of porous material distributed on sound barriers	11
Spatially nonhomogeneous periodic patterns in a delayed predator–prey model with predator-taxis diffusion	11
Thermoelastic Timoshenko system free of second spectrum	11
An averaged L1-type compact di	11
A modified regularized lattice Boltzmann model for convection–diffusion equation with a source term	11
Modeling and analysis of double fractional order Jeffreys viscoelastic fluids flow	11
Existence of stable standing waves for the Lee–Huang–Yang corrected dipolar Gross–Pitaevskii equation	11
Simulation of antiplane shear problems with multiple inclusions using the generalized finite difference method	11
A stabilized element-free Galerkin method for the advection–diffusion–reaction problem	11
A fast and efficient numerical algorithm for Swift–Hohenberg equation with a nonlocal nonlinearity	11
A new way of constructing Lyapunov functions with application to an SI epidemic model	11
A new Allen–Cahn type two-model phase-field crystal model for fcc ordering and its numerical approximation	11
N-soliton solutions to the multi-component nonlocal Gerdjikov–Ivanov e	11
The unique solution of a class of the new generalized absolute value equation	11
Dynamics of rogue lumps on a background of two-dimensional homoclinic orbits in the Fokas system	11
Caputo–Hadamard fractional Halanay inequality	11
Infinitely many solutions to Kirchhoff double phase problems with variable exponents	11
Fast exponential time differencing/spectral-Galerkin method for the nonlinear fractional Ginzburg–Landau equation with fractional Laplacian in unbounded domain	11
A direct method of moving planes for the Logarithmic Laplacian	11
Lump solutions of a nonlinear PDE containing a third-order derivative of time	11
A hierarchy of nonlocal nonlinear evolution equations and	11
Rogue wave formation and interactions in the defocusing nonlinear Schrödinger equation with external potentials	11
A complete classification of initial energy in a p(<	11
Modeling and quantifying the influence of opinion involving opinion leaders on delayed information propagation dynamics	11
Global stability in a diffusive cholera epidemic model with nonlinear incidence	11
Stationary distribution of a stochastic vegetation–water system with reaction–diffusion	11
First order strong convergence of positivity preserving logarithmic Euler–Maruyama method for the stochastic SIS epidemic model	11
N-soliton solutions for the coupled extended modified KdV equations via Riemann–Hilbert approach	11
Cauchy’s formula on nonempty closed sets and a new notion of Riemann–Liouville fractional integral on time scales	11
A BDF3 and new nonlinear fourth-order difference scheme for the generalized viscous Burgers’ equation	11
Sufficient conditions for the solvability of a Sylvester-like absolute value matrix equation	10
A necessary and sufficient condition for the existence of entire large solutions to a k	10
Logarithmic transformation between (variable-order) Caputo and Caputo–Hadamard fractional problems and applications	10
Multiple solutions for critical Kirchhoff–Poisson systems in the Heisenberg group	10
Soliton interaction of a generalized nonlinear Schrödinger equation in an optical fiber	10
Perturbative analysis of stochastic Hamiltonian problems under time discretizations	10
Global stability of a delayed diffusive predator–prey model with prey harvesting of Michaelis–Menten type	10
Artificial boundary conditions for nonlinear time fractional Burgers’ equation on unbounded domains	10
Ghost point method using RBFs and polynomial basis functions	10
Maximal and minimal nondecreasing bounded solutions of iterative functional differential equations	10
Generalizations of the constrained mock-Chebyshev least squares in two variables: Tensor product vs total degree polynomial interpolation	10
The proof of Lyapunov asymptotic stability theorems for Caputo fractional order systems	10
Efficient third-order BDF finite difference scheme for the generalized viscous Burgers’ equation	10
Finite element method on Shishkin mesh for a singularly perturbed problem with an interior layer	10
RBFCUB: A numerical package for near-optimal meshless cubature on general polygons	10
Error estimations in the balanced norm of finite element method on Bakhvalov–Shishkin triangular mesh for reaction–diffusion problems	10
Stability analysis of a model of epidemic dynamics with nonlinear feedback producing recurrent infection waves	10
The radial solution for an eigenvalue problem of singular augmented Hessian equation	10
An efficient method based on least-squares technique for interface problems	10
Closed-form solution of non-symmetric algebraic Riccati matrix equation	10
Fast algorithm for nonlocal Allen–Cahn equation with scalar auxiliary variable approach	10
Travelling waves in a free boundary mechanobiological model of an epithelial tissue	10
Stochastic bifurcations, a necessary and sufficient condition for a stochastic Beddington–DeAngelis predator–prey model	10
A new randomized Gauss–Seidel method for solving linear least-squares problems	10
Global stability of a cytokine-enhanced viral infection model with nonlinear incidence rate and time delays	9
A stochastic predator–prey eco-epidemiological model with the fear effect	9