Abstract

In this paper, by using the transformation introduced in Acta Phys. Sin., 53 (2004) 2828, a nonlinear partial differential equation can be reduced to a nonlinear ordinary differential equation, and then solve it by the ansatz technique and with the aid of Mathematica. As a result, abundant types of explicit and exact solutions to the KdV equation and the KdV-Burgers equation, which include the solitary wave solutions, the singular traveling wave solutions, the trigonometric function periodic wave solutions, are successfully obtained.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call