ANALYSIS OF RECENT ANALYTICAL TECHNIQUES ON THE KDVB EQUATION

Abstract

The Korteweg-de Vries Burgers (KdVB) is significant in applied mathematics and physical sciences. Particularly, it is a fundamental equation in the study of shallow water waves. The traditional techniques which have been suggested to solve the Korteweg-de Vries Burgers (KdVB) are labor-intensive and time-consuming. The primary goal of this study is to introduce various analytical techniques i.e., Exp-Function Method, Modified Exp-Function Method, Variational Iteration Method, and the Decomposition Method to solve the Korteweg-de Vries Burgers (KdVB) equation. These methods are quickly implemented and give very accurate results of the KdVB equation. Among them, the Variational Iteration Method is particularly user-friendly and simple to implement for the aforementioned problem. The involvement of Lagrange Multiplier is a powerful tool to reduce the cumbersome integration. At the end, Maple18 is used to find the analytical and graphic outcomes. These results show that the proposed methods are effective and applicable to other nonlinear equations of physical interest as well.