Exploring dynamics of multi-peak and breathers-type solitary wave solutions in generalized higher-order nonlinear Schrödinger equation and their optical

被引:2
作者
Yasin, Faisal [1 ]
Alshehri, Mansoor H. [2 ]
Arshad, Muhammad [3 ]
Shang, Yilun [4 ]
Afzal, Zeeshan [1 ]
机构
[1] Univ Lahore, Dept Math & Stat, Lahore Campus, Lahore, Pakistan
[2] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia
[3] Univ Agr Faisalabad, Dept Math & Stat, Subcampusdepalpur, Faisalabad, Pakistan
[4] Northumbria Univ, Dept Comp & Informat Sci, Newcastle Upon Tyne NE1 8ST, England
关键词
Generalized higher-order nonlinear; Schr & ouml; dinger equation (GHONLSE); Generalized Riccati equation mapping method; Solitons; Multi-peak solitons; Breather waves; SCHRODINGER-EQUATIONS; MODEL;
D O I
10.1016/j.aej.2024.07.082
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper investigates the dynamics of soliton interactions in higher-order nonlinear Schr & ouml;dinger equation, which are commonly used to model multimode wave propagation in various physical scenarios, including nonlinear optics and shallow water. We constructed new exact solitary solutions in generalized forms of generalized higher-order nonlinear Schr & ouml;dinger equation by using the extended generalized Riccati equation mapping method through symbolic computation. These wave solutions play a crucial role in engineering and various applied sciences. By assigning appropriate values to certain parameters in these solutions, novel graphical structures are generated, enhancing our understanding of the underlying physical phenomena in this model. These solutions shed light on the complex physical phenomena described by this dynamical model, and our computational approach is demonstrated to be simple, versatile, powerful, and effective. Furthermore, this method can also be applied to solve other complex higher-order NLSEs encountered in mathematical physics.
引用
收藏
页码:402 / 413
页数:12
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