Exact projective solutions of generalized nonlinear Schrödinger system with variable parameters

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

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.

Keywords: nonlinear Schrödinger system self-similarity mapping approach exact solution localized excitation

Received: 08 January 2012
Revised: 09 February 2012
Accepted manuscript online:

PACS:	03.65.Ge	(Solutions of wave equations: bound states)
	05.45.Yv	(Solitons)
	42.65.Tg	(Optical solitons; nonlinear guided waves)

Fund: 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).

Corresponding Authors: Zheng Chun-Long
E-mail: zjclzheng@yahoo.com.cn

Cite this article:

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

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Exact projective solutions of generalized nonlinear Schrödinger system with variable parameters

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