中国物理B ›› 2004, Vol. 13 ›› Issue (6): 805-810.doi: 10.1088/1009-1963/13/6/004
范天佑1, 刘官厅2
Liu Guan-Ting (刘官厅)ab, Fan Tian-You (范天佑)a
摘要: By using the solutions of an auxiliary elliptic equation, a direct algebraic method is proposed to construct the exact solutions of nonlinear Schr?dinger type equations. It is shown that many exact periodic solutions of some nonlinear Schr?dinger type equations are explicitly obtained with the aid of symbolic computation, including corresponding envelope solitary and shock wave solutions.
中图分类号: (Function theory, analysis)