Analytical localized wave solutions of the generalized nonautonomous nonlinear Schr枚dinger equation with Gaussian shaped nonlinearity
- 作者：Jun-Rong He ; Hua-Mei Li ; lihuamei@zjnu.cn ; Jing Li
- 关键词：Generalized nonautonomous nonlinear Schrö ; dinger equation ; Similarity transformation ; Localized wave solution
- 刊名：Optics Communications
- 出版年：2012
- 期刊代码：50_00304018
- 类别：ph
- 出版时间：1 August, 2012
- 卷：285
- 期：17
- 页码：3669-3673
- 文件大小：868 K
摘要
We construct analytical localized wave solutions to the generalized nonautonomous nonlinear Schr枚dinger equation with Gaussian shaped nonlinearity and trapping potentials by using a similarity transformation technique. Our results show that analytical localized wave solutions possess zeros where their existence requires some restrictive conditions corresponding to the dispersion coefficient, the Gaussian shaped nonlinearity, the gain (loss) coefficient, and the trapping potential. In addition, the stability analysis of the solutions is discussed numerically.