Bright and dark optical chirp waves for Kundu-Eckhaus equation using Lie group analysis

被引:0
|
作者
El-Shiekh, Rehab M. [1 ,2 ]
Gaballah, Mahmoud [3 ,4 ]
机构
[1] Majmaah Univ, Coll Business Adm Majmaah, Dept Business Adm, Al Majmaah 11952, Saudi Arabia
[2] Ain Shams Univ, Fac Educ, Dept Math, Cairo, Egypt
[3] Majmaah Univ, Coll Sci Al Zulfi, Dept Phys, Al Majmaah 11952, Saudi Arabia
[4] Natl Res Inst Astron & Geophys NRIAG, Geomagnet & Geoelect Dept, Cairo 11421, Helwan, Egypt
来源
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2025年 / 80卷 / 01期
关键词
symmetry method; Lie group; Kundu-Eckhaus equation; bright chirp wave; dark chirp wave; SOLITONS;
D O I
10.1515/zna-2024-0154
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
In this study, the Kundu-Eckhaus represents the propagation of femtosecond light pulse in optical fibers is solved using symmetry technique. As a result, a finite Lie group of four vector fields is yielded. Then a similarity transformation is obtained using a linear combination of the four vector fields, which considers the general transformation for any used transformation before. According to that, the Kundu-Eckhaus is reduced to an auxiliary equation. By solving the auxiliary equation many novel solitary wave solutions were obtained. Finally, the propagation of the amplitude bright soliton is discussed, and it was found that the chirp wave depends on the amplitude function and is affected by the sign of the Raman parameter.
引用
收藏
页码:1 / 7
页数:7
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