Exact projective solutions of a generalized nonlinear Schrdinger system with variable parameters  

作　　者：郑春龙 李银 

机构地区：[1]School of Physics and Electromechanical Engineering,Shaoguan University [2]School of Mathematics and Information Science,Shaoguan University

出　　处：《Chinese Physics B》2012年第7期120-124,共5页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No. 11172181);the Natural Science Foundation of Guangdong Province of China (Grant No. 10151200501000008);the Special Foundation of Talent Engineering of Guangdong Province of China (Grant No. 2009109);the Scientific Research Foundation of Key Discipline of Shaoguan University of China (Grant No. ZD2009001)

摘　　要：A direct self-similarity mapping approach is successfully applied to a generalized nonlinear Schroedinger （NLS） system. Based on the known exact solutions of a self-similarity mapping equation, a few types of significant localized excitation with novel properties are obtained by selecting appropriate system parameters. The integrable constraint condition for the generalized NLS system derived naturally here is consistent with the known compatibility condition generated via Painleve analysis.A direct self-similarity mapping approach is successfully applied to a generalized nonlinear Schroedinger （NLS） system. Based on the known exact solutions of a self-similarity mapping equation, a few types of significant localized excitation with novel properties are obtained by selecting appropriate system parameters. The integrable constraint condition for the generalized NLS system derived naturally here is consistent with the known compatibility condition generated via Painleve analysis.

关 键 词：nonlinear Schroedinger system self-similarity mapping approach exact solution localizedexcitation 

分 类 号：O175.29[理学—数学]