Novel periodic and optical soliton solutions for Davey–Stewartson system by generalized Jacobi elliptic expansion method

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-05-20 DOI:10.1515/ijnsns-2021-0349

M. Gaballah, R. El-Shiekh, L. Akinyemi, H. Rezazadeh

引用次数: 16

Abstract

Abstract As Davey–Stewartson system is considered one of the most important models in optics, quantum physics, plasmas, and Bose–Einstein condensates. In this study, we have solved the Davey–Stewartson system using a modified Jacobi elliptic function methodology, and therefore many novel Jacobi elliptic wave function solutions were obtained, which degenerated to hypergeometric functions and periodic functions. The results obtained in this paper are novel in addition, contain other results achieved before in literatures. Moreover, some dynamic behavior for the periodic, kink type, and soliton wave propagation is demonstrated.

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广义Jacobi椭圆展开法求解Davey-Stewartson系统的新周期光孤子解

摘要As Davey–Stewartson系统被认为是光学、量子物理、等离子体和玻色-爱因斯坦凝聚体中最重要的模型之一。在本研究中，我们使用改进的Jacobi椭圆函数方法求解了Davey–Stewartson系统，因此获得了许多新的Jacobi椭圆形波函数解，这些解退化为超几何函数和周期函数。本文的结果是新颖的，包含了以前文献中的其他结果。此外，还证明了周期波、扭结波和孤立波传播的一些动力学行为。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Nonlinear Sciences and Numerical Simulation 工程技术-工程：综合

CiteScore

2.80

自引率

6.70%

发文量

117

审稿时长

13.7 months

期刊介绍： The International Journal of Nonlinear Sciences and Numerical Simulation publishes original papers on all subjects relevant to nonlinear sciences and numerical simulation. The journal is directed at Researchers in Nonlinear Sciences, Engineers, and Computational Scientists, Economists, and others, who either study the nature of nonlinear problems or conduct numerical simulations of nonlinear problems.