In this article, we solve nonlinear systems of third order KdV Equations and the systems of
coupled Burgers equations in one and two dimensions with the help of two different …

The propagation of dust–ion-acoustic waves with high-energy electrons and positrons in
three-dimensional is considered. The Zakharov–Kuznetsov–Burgers (ZKB) equations for the …

Burgers' equation is a fundamental partial differential equation in fluid mechanics. This
paper reports a new space-time spectral algorithm for obtaining an approximate solution for …

In this research article, a new technique for solving nonlinear complex physical phenomena,
arising in different fields of science, is investigated, called Modified extended mapping …

In this paper, the discrete Adomian decomposition method (ADM) is proposed to numerically
solve the two-dimensional Burgers' nonlinear difference equations. Two test problems are …

Mostly, it is very difficult to obtained the exact solution of fractional-order partial differential
equations. However, semi-analytical or numerical methods are considered to be an …

The generalized ZK-Burgers equation has nonlinear characteristics of the governing
equation and helps to understand nonlinear waves in many fluid problems of plasma …

Most complex physical phenomena are described by non-linear Burgers' equations, which
help us understand them better. This article uses the transformation and the fractional …

In this article, we consider the extended Zakharov–Kuznetsov (EZK) equation, which
describes the nonlinear plasma dust acoustic waves (DAWs) in a magnetized dusty plasma …

This paper applies modified analytical methods to the fractional-order analysis of one and
two-dimensional nonlinear systems of coupled Burgers and Hirota–Satsuma KdV equations …