New periodic solutions to a generalized Hirota-Satsuma coupled KdV system

• 来源期刊: 中国物理（英文版）
• 关键词: periodic solution Hirota-Satsuma coupled KdV system Jacobi elliptic function
• 年，卷（期）: 2003,（2）
• 页码范围: 131-135
• 页数: 5页
• 语种: 英文

摘要

Using expansions in terms of the Jacobi elliptic cosine function and third Jacobi elliptic function, some new periodic solutions to the generalized Hirota-Satsuma coupled KdV system are obtained with the help of the algorithm Mathematica. These periodic solutions are also reduced to the bell-shaped solitary wave solutions and kink-shape solitary solutions. As special cases, we obtain new periodic solution, bell-shaped and kink-shaped solitary solutions to the well-known Hirota-Satsuma equations.