Double reduction via invariance & conservation laws and analysis of solitons of the Gerdjikov-Ivanov equation in optics

被引：0
作者：
Raza, Ali [1 ]
Kara, A. H. [2 ]
Alqurashi, Bader M. [3 ]
机构：
[1] Lahore Sch Econ, Dept Math & Stat Sci, Lahore, Pakistan
[2] Univ Witwatersrand, Sch Math, Johannesburg, South Africa
[3] Albaha Univ, Dept Math, Albaha, Saudi Arabia
来源：
JOURNAL OF OPTICS-INDIA | 2024年
关键词：
Conservation laws; Partial differential equation; Schr & ouml; dinger equation; Solitons; Optical solitons; Dark solitons;
D O I：
10.1007/s12596-024-02193-2
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We will study of the perturbed Gerdjikov-Ivanov equation, also known as derivative nonlinear Schr & ouml;dinger-III. The dark soliton solutions are constructed analytically using some Ansatz method. Their physical aspects are discussed in this study for better understanding the behaviour of dark solitons with respect to different wave numbers. The invariance analysis will be carried out, conservation laws of DNLS-III will be constructed and presented and double reduction will used to find invariant solutions.
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页数：11
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