ON EXPLICIT WAVE SOLUTIONS OF THE FRACTIONAL NONLINEAR DSW SYSTEM VIA THE MODIFIED KHATER METHOD-Reference-Cited by-同舟云学术

ON EXPLICIT WAVE SOLUTIONS OF THE FRACTIONAL NONLINEAR DSW SYSTEM VIA THE MODIFIED KHATER METHOD

Published:2020-06-25 Issue:08 Volume:28 Page:2040034
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

YUE CHEN¹,LU DIANCHEN¹,KHATER MOSTAFA M. A.¹²,ABDEL-ATY ABDEL-HALEEM³⁴,ALHARBI W.⁵,ATTIA RAGHDA A. M.¹⁶

Affiliation:

1. Department of Mathematics, Faculty of Science, Jiangsu University, Jiangsu, P. R. China

2. Department of Mathematics, Obour Institutes, Cairo 11828, Egypt

3. Department of Physics, College of Sciences, University of Bisha, P.O. Box 344, 61922 Bisha, Saudi Arabia

4. Physics Department, Faculty of Science, Al-Azhar University, 71524 Assiut, Egypt

5. Physics Department, Faculty of Science, University of Jeddah, Jeddah, Saudi Arabia

6. Department of Basic Science, Higher Technological Institute Campus, 10th of Ramadan, Sharqia, Egypt

Abstract

In this paper, the exact traveling and solitary wave solutions of the fractional nonlinear Drinfeld–Sokolov–Wilson (DSW) system are obtained by employing the modified Khater (mK) method through a new fractional derivative. This system describes the flow of shallow water. Moreover, the stability property of the obtained solutions is also investigated by using the characteristics of the Hamiltonian system. Some plots are given to show more physical properties of the suggested model. The advantage and accuracy of the applied analytical schemes are verified and explained by using Mathematica 11.3, and then a comparison between our solutions and those obtained in previous research papers with different systematic schemes is carried out.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X20400344

Reference62 articles.

1. New Optical Soliton Solutions of Nolinear Evolution Equation Describing Nonlinear Dispersion

2. An analytical solution for fractional oscillator in a resisting medium

3. On Applications of the Fractional Calculus for Some Singular Differential Equations

4. New exact traveling wave solutions of biological population model via the extended rational sinh-cosh method and the modified Khater method

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