Breather and rogue wave solutions of a generalized nonlinear Schrodinger equation

被引：116
|
作者：
Wang, L. H. [1 ]
Porsezian, K. [2 ]
He, J. S. [1 ]
机构：
[1] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
[2] Pondicherry Univ, Dept Phys, Pondicherry 605014, India
来源：
PHYSICAL REVIEW E | 2013年 / 87卷 / 05期
关键词：
SOLITON;
D O I：
10.1103/PhysRevE.87.053202
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
In this paper, using the Darboux transformation, we demonstrate the generation of first-order breather and higher-order rogue waves from a generalized nonlinear Schrodinger equation with several higher-order nonlinear effects representing femtosecond pulse propagation through nonlinear silica fiber. The same nonlinear evolution equation can also describe the soliton-type nonlinear excitations in classical Heisenberg spin chain. Such solutions have a parameter gamma(1), denoting the strength of the higher-order effects. From the numerical plots of the rational solutions, the compression effects of the breather and rogue waves produced by gamma(1) are discussed in detail.
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页数：10
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