On the exponential solutions to three extracts from extended fifth-order KdV equation

Aly R. Seadawy; R.I. Nuruddeen; K.S. Aboodh; Y.F. Zakariya

Journal of King Saud University: Science (Jan 2020)

On the exponential solutions to three extracts from extended fifth-order KdV equation

Aly R. Seadawy,
R.I. Nuruddeen,
K.S. Aboodh,
Y.F. Zakariya

Affiliations

Aly R. Seadawy: Department of Mathematics, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia; Corresponding author.
R.I. Nuruddeen: Department of Mathematics, Federal University Dutse, Jigawa State, Nigeria
K.S. Aboodh: Department of Mathematics, Faculty of Science & Technology, Omdurman Islamic University, Khartoum, Sudan; Department of Mathematics, Faculty of Science & Arts, University of Bisha, Bisha, Saudi Arabia
Y.F. Zakariya: Department of Science Education, Ahmadu Bello University, Zaria, Nigeria

Journal volume & issue: Vol. 32, no. 1
pp. 765 – 769

Abstract

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An extended fifth order Korteweg-de-Vries (efKdV) equation is an important equation in fluids dynamics for the description of nonlinear wave processes, and contains quite a number of KdV-type equations including the Sawada-Kotera equation, the Caudrey-Dodd-Gibbon equation, the Lax equation, the Kaup-Kuperschmidt equation and the Ito equation among others. However, in this paper, we examine the efKdV by extracting three different fifth order Korteweg-de-Vries (fKdV) equations. Solitary wave solutions to the extracts are found by means of an exponential function ansatz specifically constructed for the study. The obtained solutions can be used in description of shallow-water waves. Keywords: Fifth order KdV equation, KdV equations, Exponential function ansatz, Solitary wave

Published in Journal of King Saud University: Science

ISSN: 1018-3647 (Print)
Publisher: Elsevier
Country of publisher: Saudi Arabia
LCC subjects: Science: Science (General)
Website: http://www.journals.elsevier.com/journal-of-king-saud-university-science/

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