New explicit exact solutions for a generalized Hirota-Satsuma coupled KdV system and a coupled MKdV equation

• 来源期刊: 中国物理（英文版）
• 学科: 物理学
• 关键词: coupled MKdV system Riccati equation solitary wave solution periodic wave solution
• 年，卷（期）: 2003,（1）
• 页码范围: 1-10
• 页数: 10页
• 分类号: O4
• 语种: 英文

摘要

In this paper, we make use of a new generalized ansatz in the homogeneous balance method, the well-known Riccati equation and the symbolic computation to study a generalized Hirota-Satsuma coupled KdV system and a coupled MKdV equation, respectively. As a result, numerous explicit exact solutions, comprising new solitary wave solutions, periodic wave solutions and the combined formal solitary wave solutions and periodic wave solutions, are obtained.