The Repeated Homogeneous Balance Method to Construct the Traveling Wave Solutions of Nonlinear Partial Differential Equations

摘要：

A repeated homogeneous balance method is proposed to construct the travelling wave solutions of nonlinear partial differential equations. The key procedure is that the homogeneous balance method is used to solve the ansatz equation the Riccati equation. It surmounts the difficulty of solving the Riccati equation. As an illustrative equation, the KdV equation is investigated by the repeated homogeneous balance method and then its more new exact travelling wave solutions are obtained.

作者: Tingming Wang Xiqiang Zhao

作者单位: Department of Mathematics Teachers College, Qingdao University Qingdao Shandong 266071, P R China Department of Mathematics Ocean University of China Qingdao Shandong 266071, P R China

会议类型: 国际会议

会议名称: 第三届国际脉冲动力系统及应用学术会议

会议地点: 青岛

会议语种:英文

在线出版日期: 2006-07-21（万方平台首次上网日期，不代表论文的发表时间）