New travelling wave solutions for combined KdV-mKdV equation and (2+1)-dimensional Broer-Kaup-Kupershmidt system

• 来源期刊: 中国物理（英文版）
• 关键词: auxiliary equation Korteweg-de Vries (KdV)-modified KdV (mKdV) equation BroerKaup-Kupershmidt system
• 年，卷（期）: 2007,（2）
• 页码范围: 310-317
• 页数: 8页
• 语种: 英文

摘要

Some new exact solutions of an auxiliary ordinary differential equation are obtained, which were neglected by Sirendaoreji et al in their auxiliary equation method. By using this method and these new solutions the combined Korteweg-de Vries (KdV) and modified KdV (mKdV) equation and (2+1)-dimensional Broer Kaup-Kupershmidt system are investigated and abundant exact travelling wave solutions are obtained that include new solitary wave solutions and triangular periodic wave solutions.