In this study, we examine numerical solutions of Zakharov–Rubenchik system which is a
coupled nonlinear partial differential equation. The numerical method in the current study is …

This study presents numerical simulations of generalized two‐dimensional (2D) and three‐
dimensional (3D) Klein–Gordon–Zakharov (KGZ) equations with power law nonlinearity …

Based on the traditional scalar auxiliary variable (SAV) method, the exponential SAV (ESAV)
method, and the Lagrange multiplier method, three efficient energy stable schemes are …

The main aim of this paper is to propose a Galerkin finite element method (FEM) for solving
the Klein–Gordon–Zakharov (KGZ) equations with power law nonlinearity, and to give the …

This paper aims to study an H 1-Galerkin mixed finite element method (FEM) for Klein–
Gordon–Zakharov (KGZ) equations with power law nonlinearity. The bilinear element and …

With the continuous development in the field of deep learning, in recent years, it has also
been widely used in the field of solving partial differential equations, especially the physics …

We present a uniformly first order accurate numerical method for solving the Klein-Gordon-
Zakharov (KGZ) system with two dimensionless parameters 0< ε≤ 1 and 0< γ≤ 1, which are …

The Riesz space-fractional derivative is discretized by the Fourier pseudo-spectral (FPS)
method. The Riesz space-fractional nonlinear Klein–Gordon–Zakharov (KGZ) and Klein …

In this paper, we develop and analyze two stable and efficient time second-order difference
schemes for space fractional Klein–Gordon–Zakharov (KGZ) system. The former is based on …

This article introduces a numerical approach employing the local Radial Basis Function
Partition of Unity (RBF-PU) method to solve the generalized two-dimensional coupled Klein …