Novel periodic and optical soliton solutions for Davey–Stewartson system by generalized Jacobi elliptic expansion method-Reference-Cited by-同舟云学术

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

Published:2022-05-20 Issue:0 Volume:0 Page:
ISSN:2191-0294
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Gaballah Mahmoud¹²^ORCID,El-Shiekh Rehab M.³⁴,Akinyemi Lanre⁵,Rezazadeh Hadi⁶

Affiliation:

1. Department of Physics , College of Science at Al-Zulfi, Majmaah University , Majmaah 11952 , Kingdom of Saudi Arabia

2. Geomagnetic and Geoelectric Department , National Research Institute of Astronomy and Geophysics (NRIAG) , Helwan 11421 , Cairo , Egypt

3. Department of Mathematics, Faculty of Education , Ain Shams University , Cairo , Egypt

4. College of Business Administration in Majmaah, Majmaah University , Majmaah 11952 , Kingdom of Saudi Arabia

5. Department of Mathematics , Lafayette College , Easton , PA , USA

6. Faculty of Engineering Technology , Amol University of Special Modern Technologies , Amol , Iran

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.

Funder

Deanship of Scientific Research, Majmaah University

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2021-0349/pdf

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