Explicit and exact solutions to the KdV-Burgers equation

摘要

The KdV-Burgers equation is a real physical mode equation concerning many branches in physics. In this paper, by introducing a trans form at ion and applying the trial function method, rich types of explicit and exact solutions to the KdV-Burgers equation, including the exponential function solution, solitary wave solutions and singular travelling wave solutions etc., are presented in a concise way.