Soliton and breather solutions of the modified nonlinear Schrodinger equation

被引：13

作者：

Zhang, Hai-Qiang ^{[1
]}

Zhai, Bao-Guo ^{[1
]}

Wang, Xiao-Li ^{[1
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

来源：

PHYSICA SCRIPTA | 2012年 / 85卷 / 01期

关键词：

DISPERSIVE DIELECTRIC FIBERS; OPTICAL FIBERS; PULSES; TRANSMISSION;

D O I：

10.1088/0031-8949/85/01/015007

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we investigate the modified nonlinear Schrodinger (MNLS) equation, which describes the propagation of a femtosecond optical pulse in optical fibers. A new type of Lax pair associated with this model is derived based on the Wadati-Konno-Ichikawa linear system. The Darboux transformation is applied to the MNLS equation and the N-times iterative potential formula is presented via the iterative algorithm. Analytic multi-soliton and multi-breather solutions are generated from the zero solution and periodic plane wave solution, respectively. The propagation characteristics of the solitons and breathers and their collision dynamics are discussed via analytic solutions and graphical illustration.

引用

页数：8

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