New Exact Solutions of the N-Coupled Nonlinear Schrodinger System

作     者：SHEN Shou--Feng ZHANG Jun YE Cai--Er PAN Zu--Liang Department of Mathematics, Zhejiang University of Technology, Hangzhou 310014, China Basic Department, Zhejiang Forestry College, Lin'an 311300, China Department of Mathematics, Zhejiang University, Hangzhou 310027, China 

作者机构：Department of Mathematics Zhejiang University of Technology Hangzhou 310014 China Basic Department Zhejiang Forestry College Lin'an 311300 China Department of Mathematics Zhejiang University Hangzhou 310027 China 

出 版 物：《Communications in Theoretical Physics》 (理论物理)

年 卷 期：2005年第44卷第10期

页      面：604-608页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 

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 the Foundation of Zhejiang Forestry College under Grant No. 2002FK15 

主　　题：nonlinear Schrodinger system exact solution Jacobi elliptic function soliton 

摘      要：In this letter, abundant families of Jacobi clliptic function envelope solutions of the N-coupled nonlinearSchrodinger (NLS) system are obtained directly. When the modulus m →1, those periodic solutions degenerate as thecorresponding envelope soliton solutions, envelope shock wave solutions. Especially,for the 3-coupled NLS system, fivetypes of Jacobi elliptic function envelope solutions are illustrated both analytically and *** types of thosedegenerate as envelope soliton solutions.