Diverse exact solutions to Davey–Stewartson model using modified extended mapping method
Articles
Karim K. Ahmed
Ain Shams University
Hamdy Ahmed
Higher Institute of Engineering, El Shorouk Academy
Niveen M. Badra
Ain Shams University
Mohammad Mirzazadeh
University of Guilan
Wafaa B. Rabie
Higher Institute of Engineering and Technology
Mostafa Eslami
University of Mazandaran
Published 2024-07-30
https://doi.org/10.15388/namc.2024.29.36103
PDF

Keywords

Davey–Stewartson equation
solitary wave solutions
Jacobi elliptic function solutions
periodic solutions
modified extended mapping method

How to Cite

Ahmed, K.K. (2024) “Diverse exact solutions to Davey–Stewartson model using modified extended mapping method”, Nonlinear Analysis: Modelling and Control, 29(5), pp. 983–1002. doi:10.15388/namc.2024.29.36103.

Abstract

In this study, we obtain solitary wave solutions and other exact wave solutions for Davey–Stewartson equation (DSE), which explains how waves move through water with a finite depth while being affected by gravity and surface tension. The study is conducted with the aid of the modified extended mapping method (MEMM). A variety of distinct traveling wave solutions are furnished. The obtained solutions comprise dark, bright, and singular solitary wave solutions. Additionally, Jacobi elliptic function solutions, exponential wave solutions, singular periodic wave solutions, rational wave solutions, and periodic wave solutions are also offered. To help readers physically grasp the acquired solutions, graphical representations of some of the extracted solutions are provided.

PDF
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Downloads

Download data is not yet available.

Most read articles by the same author(s)