Bifurcations and Exact Traveling Wave Solutions for a Model of Nonlinear Pulse Propagation in Optical Fibers

被引：2
|
作者：
Li, Jibin [1 ,2 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
[2] Kunming Univ Sci & Technol, Dept Math, Kunming 650093, Yunnan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2014年 / 24卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Nonlinear Schrodinger equation; bifurcation; exact traveling wave solution; solitary wave solution; periodic wave solution; pseudo-peakon;
D O I：
10.1142/S0218127414500886
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider a model of nonlinear pulse propagation in optical fibers. By investigating the dynamical behavior and bifurcations of solutions of the traveling wave system of PDE, we derive all possible exact explicit traveling wave solutions under different parameter conditions. These results completed the study of traveling wave solutions for the mentioned model posed by [Lenells, 2009].
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收藏
页数：15
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