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Exact Projective Excitations of Nonautonomous Nonlinear Schrödinger System in (1 + 1)-Dimensions
Department of Physics, Shaoguan University, Shaoguan, Guangdong, China
Department of Physics, Shaoguan University, Shaoguan, Guangdong, China
- 1 Department of Physics, Shaoguan University, Shaoguan, Guangdong, China
- 2 Department of Physics, Shaoguan University, Shaoguan, Guangdong, China
Journal of Modern Physics·Volume 03 (2012)·Pages 702–708·Published 14 August 2012·DOI10.4236/jmp.2012.38095
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Abstract
With the aid of a direct projective approach, a general transformation solution for the nonautonomous nonlinear Schr?dinger (NLS) system is derived. Based on certain known exact solutions of the projective equation, some periodic and localized excitations with novel properties are correspondingly revealed by entrancing appropriate system parameters. The integrable constraint conditions for the nonautonomous NLS system derived naturally here are consistent with the compatibility condition via the Painlevé analysis in other literature.
KeywordsNonautonomous NLS SystemProjective ApproachExact SolutionLocalized Excitation
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