Discrete doubly periodic and solitary wave solutions for the semi-discrete coupled mKdV equations

• 来源期刊: 中国物理（英文版）
• 关键词: semi-discrete coupled mKdV equations extended Jacobian elliptic function expansion approach discrete doubly periodic solutions discrete solitary wave solutions
• 年，卷（期）: 2007,（8）
• 页码范围: 2159-2166
• 页数: 8页
• 语种: 英文

摘要

In this paper, the improved Jacobian elliptic function expansion approach is extended and applied to constructing discrete solutions of the semi-discrete coupled modified Korteweg de Vries (mKdV) equations with the aid of the symbolic computation system Maple. Some new discrete Jacobian doubly periodic solutions are obtained. When the modulus M → 1, these doubly periodic solutions degenerate into the corresponding solitary wave solutions, including kink-type, bell-type and other types of excitations.