Analytical Periodic Wave and Soliton Solutions of the Generalized Nonautonomous Nonlinear Schrdinger Equation in Harmonic and Optical Lattice Potentials

被引：1
|
作者：
Zhou Jia-Yi [1 ]
Li Hua-Mei [1 ]
He Jun-Rong [1 ]
机构：
[1] Zhejiang Normal Univ, Dept Phys, Jinhua 321004, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2012年 / 58卷 / 03期
基金：
中国国家自然科学基金;
关键词：
generalized nonautonomous nonlinear Schrodinger equation; optical lattice potential; periodic wave; soliton; SCHRODINGER-EQUATION; PROPAGATION; SYSTEMS;
D O I：
10.1088/0253-6102/58/3/12
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We construct analytical periodic wave and soliton solutions to the generalized nonautonomous nonlinear Schrodinger equation with time- and space-dependent distributed coefficients in harmonic and optical lattice potentials. We utilize the similarity transformation technique to obtain these solutions. Constraints for the dispersion coefficient, the nonlinearity, and the gain (loss) coefficient are presented at the same time. Various shapes of periodic wave and soliton solutions are studied analytically and physically. Stability analysis of the solutions is discussed numerically.
引用
收藏
页码：393 / 397
页数：5
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