The 2D regularized long-wave equation is a mathematical model used to describe the
behavior of water waves in two dimensions, taking into account nonlinear and dispersive …

The nonlinear wave phenomenon constitutes a significant research field and is a capable
mathematical model for representing the transmission of energy in physical processes. This …

In this paper, we propose a numerical method for the solution of the time-fractional nonlinear
Schrödinger equation in one and two dimensions which appear in quantum mechanics. In …

This paper develops a localized radial basis function partition of unity method (RBF-PUM)
based on a stable algorithm for finding the solution of the sine–Gordon system. This system …

In this paper a numerical technique is proposed for solving the nonlinear generalized
Benjamin–Bona–Mahony–Burgers equation. Firstly, we obtain a time discrete scheme by …

In this paper, we propose a numerical method for the solution of time fractional nonlinear
sine-Gordon equation that appears extensively in classical lattice dynamics in the continuum …

In this paper, a Galerkin finite element method is designed and analyzed to simulate the
nonlinear Korteweg-de Vries-Rosenau-regularized long-wave (KdV-RRLW) model. We …

This article investigates the numerical solution of the nonlinear integro-differential equations.
The numerical scheme developed in the current paper is based on the moving least square …

In this paper a numerical technique is proposed for solving the nonlinear generalized
Benjamin–Bona–Mahony–Burgers and regularized long-wave equations. Firstly, we obtain …

With symbolic computation, Bell-polynomial scheme and bilinear method are applied to a
two-dimensional Korteweg–de Vries (KdV) model, which is firstly proposed with Lax pair …