中国物理B ›› 2006, Vol. 15 ›› Issue (11): 2500-2505.doi: 10.1088/1009-1963/15/11/006
刘官厅
Liu Guan-Ting(刘官厅)†
摘要: By using the solutions of an auxiliary Lam\'e 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.
中图分类号: (Partial differential equations)