A note on the Compound Burgers-Korteweg-de Vries Equation with higher-order nonlinearities and its traveling solitary waves

TL;DR

This paper investigates a complex Korteweg-de Vries-Burgers equation with higher-order nonlinearities, deriving solitary wave solutions through series expansion to enhance understanding of nonlinear wave phenomena.

Contribution

Introduces a novel approach to solving a compound KdV-Burgers equation with higher-order nonlinearities using series expansion methods.

Findings

Derived a class of solitary wave solutions

Extended the analysis of nonlinear wave equations

Provided insights into higher-order nonlinear effects

Abstract

In this paper, we study a compound Korteweg-de Vries-Burgers equation with a higher-order nonlinearity. A class of solitary wave solutions is obtained by means of a series expansion.