Perturbation of solitons due to power law nonlinearity

被引：40
|
作者：
Biswas, A [1 ]
机构：
[1] Valley City State Univ, Dept Math, Valley City, ND 58072 USA
来源：
CHAOS SOLITONS & FRACTALS | 2001年 / 12卷 / 03期
关键词：
D O I：
10.1016/S0960-0779(00)00006-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The generalization of solitons to a non-Kerr law media has been studied in this paper along with its perturbation. In particular, the higher nonlinear Schrodinger's equation (NLSE) due to power law nonlinearity is considered. The method of multiple-scales is used to study this equation in presence of a perturbation term. We show that, by newly introducing a proper definition of the phase of the soliton, for the first time, one can obtain the corrections to the pulse where the usual soliton perturbation approach fails. (C) 2000 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：579 / 588
页数：10
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