Exact Projective Excitations of Nonautonomous Nonlinear Schrödinger System in (1 + 1)-Dimensions

Jianfeng Ye, Chunlong Zheng

Department of Physics, Shaoguan University, Shaoguan, Guangdong, China.

DOI: 10.4236/jmp.2012.38095                

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.

Keywords

Nonautonomous NLS System; Projective Approach; Exact Solution; Localized Excitation

Conflicts of Interest

The authors declare no conflicts of interest.

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