A new method for solving the KdV and KdV-Burgers equations

作者:Xie; Yuanxi
来源:Nuovo Cimento della Societa Italiana di Fisica B-Basic Topics in Physics, 2006, 121(6): 599-604.
DOI:10.1393/ncb/i2006-10078-9

摘要

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.

  • 出版日期2006-6