(9)Solitary and periodic wave solutions of (2+1)-dimensions of dispersive long wave equations on shallow waters
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A.A. Gabera,b
a Department of Mathematics, College of Science and Human Studies at Hotat Sudair, Majmaah University, 11952, Suadi Arab
b Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Hiliopolis, Cairo, Egypt
Received 21 June 2020; received in revised form 12 January 2021; accepted 4 February 2021
Available online 10 February 2021
Abstract
In this investigation, the (2+1)-dimensions of dispersive long wave equations on shallow waters which are called Wu-Zhang (WZ) equations
are studied by using symmetry analysis. The system of partial differential equations are reduced to the type of system of ordinary differential
equations. The exact solutions of ordinary differential equations are obtained by the general Kudryashov method [2]. Exact solutions including
singular wave, kink wave and anti-kink wave are shown. Some figures are given to show the properties of the solutions.
© 2021 Shanghai Jiaotong University. Published by Elsevier B.V.
This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Keywords: Symmetry analysis; Exact solutions; Generalized Kudryashov method.