Breather solutions to the nonlinear Schrodinger equation with variable coefficients and a linear potential

被引：14
|
作者：
Yang, Zhengping [1 ]
Zhong, Wei-Ping [2 ]
Belic, Milivoj R. [3 ,4 ]
机构：
[1] Shunde Polytech, Dept Med Sci, Shunde 528300, Guangdong, Peoples R China
[2] Shunde Polytech, Dept Elect & Informat Engn, Shunde 528300, Guangdong, Peoples R China
[3] Texas A&M Univ, Doha, Qatar
[4] Univ Belgrade, Inst Phys, Belgrade, Serbia
来源：
PHYSICA SCRIPTA | 2012年 / 86卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
LOCALIZED MODES; SOLITONS; DYNAMICS;
D O I：
10.1088/0031-8949/86/01/015402
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
By using the self-similar method for obtaining localized solutions of nonlinear evolution partial differential equations, we found analytical breather solutions to the nonlinear Schrodinger equation with longitudinally variable coefficients and an arbitrary transversely linear potential. The Ma and the second-order breather solutions are derived by choosing the parameters appropriately. We discuss the influence of different parameters on the characteristics of the solutions found. We demonstrate that the parameters not only control the propagation direction of the breather, but also influence its shape and the period.
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收藏
页数：7
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