New Exact Solutions of the N-Coupled Nonlinear Schroedinger System  

作　　者：SHEN Shou-Feng ZHANG Jun YE Cai-Er PAN Zu-Liang 

机构地区：[1]Department of Mathematics, Zhejiang University of Technology, Hangzhou 310014, China [2]Basic Department, Zhejiang Forestry College, Lin'an 311300, China [3]Department of Mathematics, Zhejiang University, Hangzhou 310027, China

出　　处：《Communications in Theoretical Physics》2005年第4X期604-608,共5页理论物理通讯（英文版）

基　　金：The project partially supported by the Foundation of Zhejiang University of Technology, the Education Foundation of Zhejiang Province of China under Grant No. 2003055, and the Foundation of Zhejiang Forestry College under Grant No. 2002FK15 Acknowledgments We would like to express our sincere thanks to the referees for useful suggestion and timely help.

摘　　要：In this letter, abundant families of Jacobi elliptic function envelope solutions of the N-coupled nonlinear Schroedinger （NLS） system are obtained directly. When the modulus m → 1, those periodic solutions degenerate as the corresponding envelope soliton solutions, envelope shock wave solutions. Especially, for the 3-coupled NLS system, five types of Jacobi elliptic function envelope solutions are illustrated both analytically and graphically. Two types of those degenerate as envelope soliton solutions.

关 键 词：nonlinear Schroedinger system exact solution Jacobi elliptic function soliton 

分 类 号：O411.1[理学—理论物理]