Applied Mathematics Letters

Article	Citations
Water-wave symbolic computation for the Earth, Enceladus and Titan: The higher-order Boussinesq-Burgers system, auto- and non-auto-Bäcklund transformations	170
Simulating the spread of COVID-19 via a spatially-resolved susceptible–exposed–infected–recovered–deceased (SEIRD) model with heterogeneous diffusion	155
Bilinear auto-Bäcklund transformations and soliton solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow water waves	149
Optical waves/modes in a multicomponent inhomogeneous optical fiber via a three-coupled variable-coefficient nonlinear Schrödinger system	127
Solitary wave solutions of hierarchy with non-local nonlinearity	117
Soliton molecules in Sharma–Tasso–Olver–Burgers equation	99
Water-wave studies on a (2+1)-dimensional generalized variable-coefficient Boiti–Leon–Pempinelli system	97
Symmetry breaking of infinite-dimensional dynamic system	94
Soliton molecules and novel smooth positons for the complex modified KdV equation	88
Generalized Darboux transformation, solitonic interactions and bound states for a coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber	84
A domain-decomposition generalized finite difference method for stress analysis in three-dimensional composite materials	84
On the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations	75
Uniqueness of weak solutions to a Keller–Segel–Navier–Stokes system	72
M-lump and hybrid solutions of a generalized (2+1)-dimensional Hirot	70
Exponential Euler scheme of multi-delay Caputo–Fabrizio fractional-order differential equations	69
A novel (3+1)-dimensional sine-Gorden and a sinh-Gorden equation: Derivation, symmetries and conservation laws	67
Auto-Bäcklund transformations, Lax pair, bilinear forms and bright solitons for an extended (3+1)-dimensional nonlinear Schrödinger equation in an optical fiber	67
Nonautonomous soliton solutions of variable-coefficient fractional nonlinear Schrödinger equation	64
Local knot method for 2D and 3D convection–diffusion–reaction equations in arbitrary domains	64
Consistent Riccati expansion and rational solutions of the Drinfel’d–Sokolov–Wilson equation	62
Loop-like kink breather and its transition phenomena for the Vakhnenko equation arising from high-frequency wave propagation in electromagnetic physics	62
The complex-valued astigmatic cosine-Gaussian soliton solution of the nonlocal nonlinear Schrödinger equation and its transmission characteristics	62
A spatial–temporal GFDM with an additional condition for transient heat conduction analysis of FGMs	62
Uniform regularity for a Keller–Segel–Navier–Stokes system	60
Threshold behavior of a stochastic predator–prey system with prey refuge and fear effect	59

On a strong minimum condition of a fractal variational principle	57
Magneto-optical/ferromagnetic-material computation: Bäcklund transformations, bilinear forms and <	54
Lie group analysis for a higher-order Boussinesq-Burgers system	51
Generalized finite difference method for electroelastic analysis of three-dimensional piezoelectric structures	51
A new multiple integral inequality and its application to stability analysis of time-delay systems	50
An averaging principle for stochastic fractional differential equations with time-delays	48
Space–time generalized finite difference nonlinear model for solving unsteady Burgers’ equations	47
The averaging principle of Hilfer fractional stochastic delay differential equations with Poisson jumps	47
Reflecting upon some electromagnetic waves in a ferromagnetic film via a variable-coefficient modified Kadomtsev-Petviashvili system	46
Influence of the fear factor on the dynamics of a stochastic predator–prey model	46
Dark soliton solutions for a coupled nonlinear Schrödinger system	46
Fusion and fission phenomena for(2	44
Lax pairs, infinite conservation laws, Darboux transformation, bilinear forms and solitonic interactions for a combined Calogero-Bogoyavlenskii-Schiff-type equation	44
N-soliton solutions and dynamic property analysis of a generalized th	42
A GFDM with supplementary nodes for thin elastic plate bending analysis under dynamic loading	41
Dynamics of an SEIR model with infectivity in incubation period and homestead-isolation on the susceptible	41
A regularized method of moments for three-dimensional time-harmonic electromagnetic scattering	40
Three types of Darboux transformation and general soliton solutions for the space-shifted nonlocal 40
A fast element-free Galerkin method for the fractional diffusion-wave equation	40
Stationary solitons of the generalized nonlinear Schrödinger equation with nonlinear dispersion and arbitrary refractive index	39
2.5D singular boundary method for acoustic wave propagation	39
Bifurcation solitons and breathers for the nonlocal Boussinesq equations	39
New criterion for finite-time stability of fractional delay systems	39
Global stability in a networked SIR epidemic model	38
Resonance Y-type soliton and hybrid solutions of a (2+1)-dimensiona	38
Doubly localized rogue waves on a background of dark solitons for the Fokas system	38
Nonstandard bilinearization and interaction phenomenon for PT-symmetric coupled nonlocal nonlinear Schrödinger equations	37
Generalized Darboux transformation and solitons for the Ablowitz–Ladik equation in an electrical lattice	37
An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order	36
∂̄	36
PT-symmetric nonlocal Davey–St	36
Existence of solutions for the (p,	35
Composite slack-matrix-based integral inequality and its application to stability analysis of time-delay systems	35
Solution of a fractional logistic ordinary differential equation	35
Global dynamics of a controlled discontinuous diffusive SIR epidemic system	35
Numerical analysis for rotating electro-osmotic flow of fractional Maxwell fluids	35
A generalized nonlocal Gross–Pitaevskii (NGP) equation with an arbitrary time-dependent linear potential	34
A novel result on averaging principle of stochastic Hilfer-type fractional system involving non-Lipschitz coefficients	33
Spatiotemporal solitons in cold Rydberg atomic gases with Bessel optical lattices	33
Second order difference schemes for time-fractional KdV–Burgers’ equation with initial singularity	33
New type of multiple lump and rogue wave solutions of the (2+1)-dimensional Bogoyavlenskii–Kadomtsev–Petviashvili equation	32
Rogue wave solutions for a higher-order nonlinear Schrödinger equation in an optical fiber	32
On the asymptotic and oscillatory behavior of the solutions of a class of higher-order differential equations with middle term	32
An element-free Galerkin method for the obstacle problem	31
Fractional white noise functional soliton solutions of a wick-type stochastic fractional NLSE	31
Stability on a patch structure Nicholson’s blowflies system involving distinctive delays	30
Existence and uniqueness results for a nonlinear coupled system involving Caputo fractional derivatives with a new kind of coupled boundary conditions	30
Wick-type stochastic multi-soliton and soliton molecule solutions in the framework of nonlinear Schrödinger equation	30
Type (−	29
A new semi-analytical method for solving a class of time fractional partial differential equations with variable coefficients	29

A greedy block Kaczmarz algorithm for solving large-scale linear systems	28
A kernel regression approach for identification of first order differential equations based on functional data	28
Stability of a fractional order SEIR model with general incidence	28
Three-dimensional application of the meshless generalized finite difference method for solving the extended Fisher–Kolmogorov equation	28
Rogue periodic waves in the fifth-order Ito equation	28
A boundary meshless method for dynamic coupled thermoelasticity problems	28
Bäcklund transformation and multi-soliton solutions for the discrete Korteweg–de Vries equation	28
Broken and unbroken solutions and dynamic behaviors for the mixed local–nonlocal Schrödinger equation	27
Stationary distribution of a stochastic predator–prey model with hunting cooperation	27
N-soliton solutions and long-time asymptotic analysis for a generaliz	27
A semi-analytical and boundary-type meshless method with adjoint variable formulation for acoustic design sensitivity analysis	27
Dynamics of abundant solutions to the (3 + 1)-dimensional generalized Yu–Toda–Sasa–Fukuyama equation	26
AKNS type reduced integrable bi-Hamiltonian hierarchies with four potentials	26
Exact solutions and Hyers–Ulam stability for fractional oscillation equations with pure delay	26
The solitary wave solutions of the nonlinear perturbed shallow water wave model	26
Second-order Emden–Fowler neutral differential equations: A new precise criterion for oscillation	25
Construction of abundant solutions of the (2+1)-dimensional time-dependent Date–Jimbo–Kashiwara–Miwa equation	25
An adaptive LOOCV-based refinement scheme for RBF collocation methods over irregular domains	25
Analysis of a fractional SIR model with General incidence function	24
N-soliton solutions for the nonlocal Fokas–Lenells equation via RHP	24
Exact sharp-fronted travelling wave solutions of the Fisher–KPP equation	24
Dynamical analysis for a fractional-order prey–predator model with Holling III type functional response and discontinuous harvest	24
Mass- and energy-conserving difference schemes for nonlinear fractional Schrödinger equations	24
Characterizations of all real solutions for the KdV equation and W	24
Reproducing kernel functions based univariate spline interpolation	24
A high-precision numerical approach to solving space fractional Gray-Scott model	24
A revisit of the energy quadratization method with a relaxation technique	24
The extension of Rippa’s algorithm beyond LOOCV	24
A new second-order maximum-principle preserving finite difference scheme for Allen–Cahn equations with periodic boundary conditions	23
Time two-grid technique combined with temporal second order difference method for two-dimensional semilinear fractional sub-diffusion equations	23
Radial symmetry of standing waves for nonlinear fractional Laplacian Hardy–Schrödinger systems	23
Global dynamics of an epidemiological model with acute and chronic HCV infections	22
Elastic and inelastic collisions of the semirational solutions for the coupled Hirota equations in a birefringent fiber	22
High-order semi-rational solutions for the coherently coupled nonlinear Schrödinger equations with the positive coherent coupling	22
On the solution of general absolute value equations	22
An optimal and low computational cost fractional Newton-type method for solving nonlinear equations	22
A novel kernel functions algorithm for solving impulsive boundary value problems	21
Fokas–Lenells equation: Three types of Darboux transformation and multi-soliton solutions	21
The uniform l1	21
On conservative, positivity preserving, nonlinear FV scheme on distorted meshes for the multi-term nonlocal Nagumo-type equations	21
Mass- and energy-preserving exponential Runge–Kutta methods for the nonlinear Schrödinger equation	21
A second-order modified nonstandard theta method for one-dimensional autonomous differential equations	21
An averaging result for impulsive fractional neutral stochastic differential equations	20
A boundary knot method for 3D time harmonic elastic wave problems	20
Convergence in a system of critical neutral functional differential equations	20
Supercloseness of linear finite element method on Bakhvalov-type meshes for singularly perturbed convection–diffusion equation in 1D	20
Beak-shaped rogue waves for a higher-order coupled nonlinear Schrödinger system with 4 × 4 Lax pair	20
Exponential stability for nonlinear hybrid stochastic systems with time varying delays of neutral type	20
Analysis of a superconvergent recursive moving least squares approximation	19
Higher-order rogue waves solutions of the modified Gerdjikov–Ivanov equation with dispersion via generalized Darboux transformation	19
Necessity of introducing non-integer shifted parameters by constructing high accuracy finite difference algorithms for a two-sided space-fractional advection–diffusion model	19
Localized method of fundamental solutions for 2D harmonic elastic wave problems	19
Numerical simulation of anti-plane wave propagation in heterogeneous media	19
On the stability of reaction–diffusion models with nonlocal delay effect and nonlinear boundary condition	19
Global existence and blow-up of weak solutions for a pseudo-parabolic equation with high initial energy	19
Multiple bright soliton solutions of a reverse-space nonlocal nonlinear Schrödinger equation	19
On an open question in recovering Sturm–Liouville-type operators with delay	18
Dynamical bifurcation and explicit stationary density of a stochastic population model with Allee effects	18
Numerical study of rotating electro-osmotic flow of double layers with a layer of fractional second-order fluid in a microchannel	18
Variational approach to p-Laplacian fractional differential equations with instantaneous and non-instantaneous impulses	18
Threshold behavior in a stochastic SVIR model with general incidence rates	18
On the generalized eigenvalue problem of Rossby waves vertical velocity under the condition of zonal mean flow and topography	18
Noise-induced bifurcations in the stochastic chemostat model with general nutrient uptake functions	18
A Legendre spectral method on graded meshes for the two-dimensional multi-term time-fractional diffusion equation with non-smooth solutions	18
Lax pair, Darboux-dressing transformation and localized waves of the coupled mixed derivative nonlinear Schrödinger equation in a birefringent optical fiber	18
Integrable discretizations and soliton solutions of an Eckhaus–Kundu equation	18
Soliton and breather solutions for a fifth-order modified KdV equation with a nonzero background	18
The eigenvalue problem of a singular k-Hessian equation	17
Stationary distribution and extinction of a stochastic SVEIS epidemic model incorporating Ornstein–Uhlenbeck process	17
The stationary distribution of a microorganism flocculation model with stochastic perturbation	17
Asymptotic behavior of solutions to the semidiscrete diffusion equation	17
New rational and breather solutions of a higher-order integrable nonlinear Schrödinger equation	17
A non-iterative and unconditionally energy stable method for the Swift–Hohenberg equation with quadratic–cubic nonlinearity	17
An inverse source problem for parabolic equations with local measurements	17
Discrete rogue waves and blow-up from solitons of a nonisospectral semi-discrete nonlinear Schrödinger equation	17
Dynamics of a toxic producing phytoplankton–zooplankton model with three–dimensional patch	17
Nth-order rogue waves for the AB system via the determinants	17
On a terminal value problem for pseudoparabolic equations involving Riemann–Liouville fractional derivatives	17
Fundamental results to the weighted Caputo-type differential operator	16
Interaction phenomenon to (1+1)-dimensional Sharma–Tasso–Olver–Burgers equation	16

A complex short pulse system in optical-fiber communications: Rogue waves and phase transitions	16
Spatiotemporal dynamics in a diffusive predator–prey model with group defense and nonlocal competition	16
New multiple positive solutions for Hadamard-type fractional differential equations with nonlocal conditions on an infinite interval	16
Unsteady natural convection boundary layer flow and heat transfer past a vertical flat plate with novel constitution models	16
Representation of solutions to delayed linear discrete systems with constant coefficients and with second-order differences	16
Periodic collision theory of multiple cosine-Hermite-Gaussian solitons in Schrödinger equation with nonlocal nonlinearity	16
Ultra-short optical pulses in a birefringent fiber via a generalized coupled Hirota system with the singular manifold and symbolic computation	16
Dbar-dressing method for the Gerdjikov–Ivanov equation with nonzero boundary conditions	16
Limit behavior of the solution of Caputo-Hadamard fractional stochastic differential equations	16
Controllable rogue wave and mixed interaction solutions for the coupled Ablowitz–Ladik equations with branched dispersion	16
Theoretical and numerical analysis of monotonicity results for fractional difference operators	16
Analysis of a nonlinear variable-order fractional stochastic differential equation	16
Fractional Langevin type delay equations with two fractional derivatives	16
24 crossing limit cycles in only one nest for piecewise cubic systems	16
Existence and multiplicity solutions for discrete Kirchhoff type problems	16
Fast identification of short, sound-soft open arcs by the orthogonality sampling method in the limited-aperture inverse scattering problem	15
The solution theory of the nonlinear q-fractional differential equati	15
Dark soliton solutions for a variable coefficient higher-order Schrödinger equation in the dispersion decreasing fibers	15
The space–time generalized finite difference scheme for solving the nonlinear equal-width equation in the long-time simulation	15
Existence of forced waves and gap formations for the lattice Lotka–Volterra competition system in a shifting environment	15
Breathing-soliton and singular rogue wave solutions for a discrete nonlocal coupled Ablowitz–Ladik equation of reverse-space type	15
Traveling wave fronts for a diffusive Nicholson’s Blowflies equation accompanying mature delay and feedback delay	15
Turing–Hopf bifurcation of a delayed diffusive predator–prey system with chemotaxis and fear effect	15
On a modified pseudopotential lattice Boltzmann model for multicomponent flows	15
An elementary proof of the lack of null controllability for the heat equation on the half line	15
An efficient meshless method for bimaterial interface cracks in 2D thin-layered coating structures	15
Semi-discretized numerical solution for time fractional convection–diffusion equation by RBF-FD	15
Axially symmetric solutions of the Schrödinger–Poisson system with zero mass potential in	15
Integrability, Darboux transformation and exact solutions for nonlocal couplings of AKNS equations	15
Nonnegative low rank matrix approximation for nonnegative matrices	15
Supplementary variable method for structure-preserving approximations to partial differential equations with deduced equations	15
Some reverse space(RS) rational solutions for the nonlocal coupled nonlinear Schrödinger equations on the plane wave backgrounds	14
Relaxation oscillations of a slow–fast predator–prey model with a piecewise smooth functional response	14
A novel meshfree method based on spatio-temporal homogenization functions for one-dimensional fourth-order fractional diffusion-wave equations	14
Multiple solutions for a class of p-Laplacian type fractional boundary value problems with instantaneous and non-instantaneous impulses	14
A meshless method in reproducing kernel space for solving variable-order time fractional advection–diffusion equations on arbitrary domain	14
Whitham modulation theory of the defocusing AB system and its application	14
A novel integral inequality and its application to stability analysis of linear system with multiple time delays	14
A maximum-principle preserving and unconditionally energy-stable linear second-order finite difference scheme for Allen–Cahn equations	14
The Schrödinger–Poisson system with p-Laplacian	14
Existence of sign-changing solutions for Kirchhoff equations with critical or supercritical nonlinearity	14
Representation of solutions of linear conformable delay differential equations	14
Multiple-order rogue waves for the generalized (214
New lump solutions to a (3+1)-dimensional generalized Calogero–Bogoyavlenskii–Schiff equation	14
Boundedness criteria for a class of indirect (and direct) chemotaxis-consumption models in high dimensions	14
Painlevé analysis, integrability property and multiwave interaction solutions for a new (4+1)-dimensional KdV–Calogero–Bogoyavlenkskii–Schiff equation	14
A discrete kinetic scheme to model anisotropic liquid–solid phase transitions	14
A hybrid kernel functions collocation approach for boundary value problems with Caputo fractional derivative	13
Theoretical analysis of time-reassigned synchrosqueezing wavelet transform	13
Constant sign solutions for double phase problems with variable exponents	13
Rogue wave solutions and modulation instability for the mixed nonlinear Schrödinger equation	13
Theory for the interaction of pure-quartic solitons	13
Global boundedness in the higher-dimensional chemotaxis system with indirect signal production and rotational flux	13
Two novel classes of linear high-order structure-preserving schemes for the generalized nonlinear Schrödinger equation	13
A localized extrinsic collocation method for Turing pattern formations on surfaces	13
Adaptive scaling damped BFGS method without gradient Lipschitz continuity	13
Preconditioned Jacobi type method for solving multi-linear systems with 13
Nondegenerate solitons and collision dynamics of the variable-coefficient coupled higher-order nonlinear Schrödinger model via the Hirota method	13
Treating the Gibbs phenomenon in barycentric rational interpolation and approximation via the S-Gibbs algorithm	13
Homoclinic solutions of discrete prescribed mean curvature equations with mixed nonlinearities	13
Mathematical model with unrestricted dispersion and polynomial nonlinearity	13
Relaxation oscillations for Leslie-type predator–prey model with Holling Type I response functional function	13
Boundedness in a three-dimensional Keller–Segel–Stokes system with subcritical sensitivity	13
Nitsche’s type stabilized finite element method for the fully mixed Stokes–Darcy problem with Beavers–Joseph conditions	12
Shape transformation using the modified Allen–Cahn equation	12
A new kind of modulus-based matrix splitting methods for vertical linear complementarity problems	12
Blow-up phenomena of a weakly dissipative modified two-component Dullin–Gottwald–Holm system	12
Optimal impulsive harvesting strategy of a stochastic Gompertz model in periodic environments	12
Triple positive solutions for fractional differential equation boundary value problems at resonance	12
Comparison of standard and stabilization free Virtual Elements on anisotropic elliptic problems	12
On the improvement of the order of convergence of iterative methods for solving nonlinear systems by means of memory	12
Multiple solutions of fourth-order functional difference equation with periodic boundary conditions	12
Existence and uniqueness of a weak solution to a non-autonomous time-fractional diffusion equation (of distributed order)	12
L∞	12
Some localized wave solutions for the coupled Gerdjikov–Ivanov equation	12
Global stability for a delayed HIV reactivation model with latent infection and Beddington–DeAngelis incidence	12
The stationary distribution of a stochastic SIQS epidemic model with varying total population size	12
Asymptotic behavior of mild solutions to fractional Cauchy problems in Banach spaces	12
A gradient descent method for solving a system of nonlinear equations	12
A hierarchy of nonlocal nonlinear evolution equations and	12
A novel homogenization function method for inverse source problem of nonlinear time-fractional wave equation	12
New exact solutions of nonlinear wave type PDEs with delay	12
Vaccination in a two-group epidemic model	12
Mixed localized wave solutions of the Hirota equation	12
Mixed stochastic differential equations: Averaging principle result	12
A generalized lattice Boltzmann model for solid–liquid phase change with variable density and thermophysical properties	11
Averaging principle for fractional heat equations driven by stochastic measures	11
A note on Euler method for the overdamped generalized Langevin equation with fractional noise	11
Stability and asymptoticity of stochastic epidemic model with interim immune class and independent perturbations	11
Global regularity for the 2D micropolar Rayleigh–Bénard convection system with the zero diffusivity	11
A conservative Allen–Cahn equation with a curvature-dependent Lagrange multiplier	11
A linear virtual element method for the Kirchhoff plate buckling problem	11
Global stability in a diffusive cholera epidemic model with nonlinear incidence	11
Caputo–Hadamard fractional Halanay inequality	11
A new Global Random Walk algorithm for calculation of the solution and its derivatives of elliptic equations with constant coefficients in an arbitrary set of points	11