The pth-order periodic solutions for a family of N-coupled nonlinear Schr(o)dinger equations

• 来源期刊: 中国物理（英文版）
• 关键词: Lamé equation N-coupled nonlinear Schr(o)dinger equations higher-order periodic solution symbolic computation
• 年，卷（期）: 2006,（11）
• 页码范围: 2500-2505
• 页数: 6页
• 语种: 英文

摘要

By using the solutions of an auxiliary Lamé equation, a direct algebraic method is proposed to construct the exact solutions of N-coupled nonlinear Schr(o)dinger equations. The abundant higher-order exact periodic solutions of a family of N-coupled nonlinear Schr(o)dinger equations are explicitly obtained with the aid of symbolic computation and they include corresponding envelope solitary and shock wave solutions.