Applications of F-expansion method to the coupled KdV system

• 来源期刊: 中国物理（英文版）
• 关键词: coupled KdV equations extended F-expansion method Jacobi elliptic functions periodic wave solutions solitary wave solutions
• 年，卷（期）: 2005,（9）
• 页码范围: 1698-1706
• 页数: 9页
• 语种: 英文

摘要

An extended F-expansion method for finding periodic wave solutions of nonlinear evolution equations in mathematical physics is presented, which can be thought of as a concentration of extended Jacobi elliptic function expansion method proposed more recently. By using the homogeneous balance principle and the extended F-expansion, more periodic wave solutions expressed by Jacobi elliptic functions for the coupled KdV equations are derived. In the limit cases, the solitary wave solutions and the other type of travelling wave solutions for the system are also obtained.