Soliton and Breather Solutions for the Mixed Nonlinear Schrodinger Equation via N-Fold Darboux Transformation

被引：3
|
作者：
Hao, Hui-Qin [1 ]
Zhang, Jian-Wen [1 ]
Guo, Rui [1 ]
机构：
[1] Taiyuan Univ Technol, Sch Math, Taiyuan 030024, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2014年
基金：
中国国家自然科学基金;
关键词：
KERR LAW MEDIA; OPTICAL-FIBERS; PERTURBATION;
D O I：
10.1155/2014/348796
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Under investigation in this paper is the mixed nonlinear Schr "odinger equation, which describes the propagation of the subpicosecond or femtosecond optical pulse in a monomodal optical fiber. The Darboux transformation is constructed and N- times iterative potential formula is presented. Two-soliton and breather solutions are derived on the vanishing and two types of nonvanishing backgrounds: the continuous wave(cw) background and constant background, respectively. The dynamic features of the solitons and breathers are discussed via analytic solutions and graphical illustration.
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收藏
页数：7
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