Open AccessON EXPLICIT WAVE SOLUTIONS OF THE FRACTIONAL NONLINEAR DSW SYSTEM VIA THE MODIFIED KHATER METHOD
Author(s) -
Yue Chen,
Dianchen Lu,
Mostafa M. A. Khater,
AbdelHaleem AbdelAty,
Wedad R. Alharbi,
Raghda A. M. Attia
Publication year - 2020
Publication title -
fractals
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.654
H-Index - 44
eISSN - 1793-6543
pISSN - 0218-348X
DOI - 10.1142/s0218348x20400344
Subject(s) - nonlinear system , hamiltonian system , fractional calculus , mathematics , stability (learning theory) , derivative (finance) , traveling wave , flow (mathematics) , computer science , property (philosophy) , mathematical analysis , physics , geometry , quantum mechanics , machine learning , financial economics , economics , philosophy , epistemology
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.