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Exact projective solutions of a generalized nonlinear Schrdinger system with variable parameters
作者姓名:郑春龙  李银
作者单位:School of Physics and Electromechanical Engineering, Shaoguan University;School of Mathematics and Information Science, Shaoguan University
基金项目: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 Schrdinger (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 Painlev analysis.

关 键 词:nonlinear Schrdinger system  self-similarity mapping approach  exact solution  localized excitation
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