EXPLICIT EXACT TRAVELING WAVE SOLUTIONS AND BIFURCATIONS OF THE KUNDU-ECKHAUS EQUATION

被引：0
|
作者：
Zhu, Wenjing [1 ]
Xia, Yonghui [2 ]
Bai, Yuzhen [3 ]
机构：
[1] China Jiliang Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
[3] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
来源：
PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE | 2020年 / 21卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Kundu-Eckhaus equation; exact solution; bifurcation; kink wave solution; CAMASSA-HOLM EQUATION; SPATIOTEMPORAL DYNAMICS; VARIABLE-COEFFICIENTS; OPTICAL SOLITON; PERIODIC-WAVE; EXISTENCE; DIFFUSION; MODEL; BEHAVIOR; PEAKONS;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The paper deals with the nonlinear complex Kundu-Eckhaus (KE) equation, a basic model in nonlinear optics which describes the propagation of solitons through the optical fiber. The bifurcation analysis is performed on the dynamic system associated to traveling wave solutions, showing the existence of periodic wave solutions, bright solitons, dark solitons, kink wave and anti-kink wave solutions, in different parametric domains. Explicit parametric representations of the traveling wave solutions are also obtained. Phase portraits and simulations are presented to illustrate the theoretical results.
引用
收藏
页码：197 / 203
页数：7
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