Applied Mathematics Letters

Papers
(The H4-Index of Applied Mathematics Letters is 43. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-04-01 to 2024-04-01.)
ArticleCitations
Water-wave symbolic computation for the Earth, Enceladus and Titan: The higher-order Boussinesq-Burgers system, auto- and non-auto-Bäcklund transformations169
Simulating the spread of COVID-19 via a spatially-resolved susceptible–exposed–infected–recovered–deceased (SEIRD) model with heterogeneous diffusion149
Bilinear auto-Bäcklund transformations and soliton solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow water waves147
Optical waves/modes in a multicomponent inhomogeneous optical fiber via a three-coupled variable-coefficient nonlinear Schrödinger system124
Solitary wave solutions of hierarchy with non-local nonlinearity115
Inverse scattering for nonlocal reverse-time nonlinear Schrödinger equations102
Soliton molecules in Sharma–Tasso–Olver–Burgers equation97
Symmetry breaking of infinite-dimensional dynamic system93
Rogue periodic waves of the sine–Gordon equation89
Water-wave studies on a (2+1)-dimensional generalized variable-coefficient Boiti–Leon–Pempinelli system88
Soliton molecules and novel smooth positons for the complex modified KdV equation88
Generalized Darboux transformation, solitonic interactions and bound states for a coupled fourth-order nonlinear Schrödinger system in a birefringent optical fiber83
A domain-decomposition generalized finite difference method for stress analysis in three-dimensional composite materials78
On the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations75
Uniqueness of weak solutions to a Keller–Segel–Navier–Stokes system72
A novel (3+1)-dimensional sine-Gorden and a sinh-Gorden equation: Derivation, symmetries and conservation laws69
M-lump and hybrid solutions of a generalized (2+1)-dimensional Hirot69
Exponential Euler scheme of multi-delay Caputo–Fabrizio fractional-order differential equations66
Nonautonomous soliton solutions of variable-coefficient fractional nonlinear Schrödinger equation65
Auto-Bäcklund transformations, Lax pair, bilinear forms and bright solitons for an extended (3+1)-dimensional nonlinear Schrödinger equation in an optical fiber65
Local knot method for 2D and 3D convection–diffusion–reaction equations in arbitrary domains64
Consistent Riccati expansion and rational solutions of the Drinfel’d–Sokolov–Wilson equation62
Loop-like kink breather and its transition phenomena for the Vakhnenko equation arising from high-frequency wave propagation in electromagnetic physics62
The complex-valued astigmatic cosine-Gaussian soliton solution of the nonlocal nonlinear Schrödinger equation and its transmission characteristics61
A spatial–temporal GFDM with an additional condition for transient heat conduction analysis of FGMs61
Uniform regularity for a Keller–Segel–Navier–Stokes system60
On a strong minimum condition of a fractal variational principle57
Threshold behavior of a stochastic predator–prey system with prey refuge and fear effect57
Coherent superposition propagation of Laguerre–Gaussian and Hermite–Gaussian solitons54
Magneto-optical/ferromagnetic-material computation: Bäcklund transformations, bilinear forms and <53
Generalized finite difference method for electroelastic analysis of three-dimensional piezoelectric structures51
Dark–bright semi-rational solitons and breathers for a higher-order coupled nonlinear Schrödinger system in an optical fiber49
Lie group analysis for a higher-order Boussinesq-Burgers system49
A new multiple integral inequality and its application to stability analysis of time-delay systems48
New variable separation solutions and wave interactions for the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation47
Space–time generalized finite difference nonlinear model for solving unsteady Burgers’ equations46
An averaging principle for stochastic fractional differential equations with time-delays45
Influence of the fear factor on the dynamics of a stochastic predator–prey model45
Reflecting upon some electromagnetic waves in a ferromagnetic film via a variable-coefficient modified Kadomtsev-Petviashvili system45
Dark soliton solutions for a coupled nonlinear Schrödinger system45
The convergence analysis and uniqueness of blow-up solutions for a Dirichlet problem of the general 44
Lax pairs, infinite conservation laws, Darboux transformation, bilinear forms and solitonic interactions for a combined Calogero-Bogoyavlenskii-Schiff-type equation44
Fusion and fission phenomena for(244
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