Exact projective solutions of generalized nonlinear Schrödinger system with variable parameters

doi:10.1088/1674-1056/21/7/070305

中国物理B ›› 2012, Vol. 21 ›› Issue (7): 70305-070305.doi: 10.1088/1674-1056/21/7/070305

Exact projective solutions of generalized nonlinear Schrödinger system with variable parameters

郑春龙^a, 李银^b

a School of Physics and Electromechanical Engineering, Shaoguan University, Shaoguan 512005, China;
b School of Mathematics and Information Science, Shaoguan University, Shaoguan 512005, China

收稿日期:2012-01-08 修回日期:2012-02-09 出版日期:2012-06-01 发布日期:2012-06-01
基金资助:
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), and the Scientific Research Foundation of Key Discipline of Shaoguan University of China (Grant No. ZD2009001).

Exact projective solutions of generalized nonlinear Schrödinger system with variable parameters

Zheng Chun-Long(郑春龙)^a)† and Li Yin(李银)^b)

a School of Physics and Electromechanical Engineering, Shaoguan University, Shaoguan 512005, China;
b School of Mathematics and Information Science, Shaoguan University, Shaoguan 512005, China

Received:2012-01-08 Revised:2012-02-09 Online:2012-06-01 Published:2012-06-01
Contact: Zheng Chun-Long E-mail:zjclzheng@yahoo.com.cn
Supported by:
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), and the Scientific Research Foundation of Key Discipline of Shaoguan University of China (Grant No. ZD2009001).

摘要/Abstract

摘要： A direct self-similarity mapping approach is successfully applied to a generalized nonlinear Schrödinger (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 the Painlev? analysis.

关键词: nonlinear Schrödinger system, self-similarity mapping approach, exact solution, localized excitation

Abstract: A direct self-similarity mapping approach is successfully applied to a generalized nonlinear Schrödinger (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 the Painlev? analysis.

Key words: nonlinear Schrödinger system, self-similarity mapping approach, exact solution, localized excitation

中图分类号: (Solutions of wave equations: bound states)

03.65.Ge

05.45.Yv (Solitons) 42.65.Tg (Optical solitons; nonlinear guided waves)

郑春龙, 李银. Exact projective solutions of generalized nonlinear Schrödinger system with variable parameters[J]. 中国物理B, 2012, 21(7): 70305-070305.

Zheng Chun-Long(郑春龙) and Li Yin(李银) . Exact projective solutions of generalized nonlinear Schrödinger system with variable parameters[J]. Chin. Phys. B, 2012, 21(7): 70305-070305.

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Exact projective solutions of generalized nonlinear Schrödinger system with variable parameters

Exact projective solutions of generalized nonlinear Schrödinger system with variable parameters

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