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.

引用

页数：7

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