Investigating the tangent dispersive solitary wave solutions to the Equal Width and Regularized Long Wave equations

R.I. Nuruddeen; Khalid Suliman Aboodh; Khalid K. Ali

Journal of King Saud University: Science (Jan 2020)

Investigating the tangent dispersive solitary wave solutions to the Equal Width and Regularized Long Wave equations

R.I. Nuruddeen,
Khalid Suliman Aboodh,
Khalid K. Ali

Affiliations

R.I. Nuruddeen: Department of Mathematics, Federal University Dutse, Jigawa State, Nigeria; Corresponding author.
Khalid Suliman 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
Khalid K. Ali: Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt

Journal volume & issue: Vol. 32, no. 1
pp. 677 – 681

Abstract

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In this paper, we analytically construct certain dispersive solitary wave solutions to the Equal Width (EW) and Regularized Long Wave (RLW) equations using the Modified Extended Tanh Expansion Method. The study also analyze the effect of Ux being the major difference between the two equations after restricting METEM to only tangent function solutions for one-to-one comparison. The Mathematica software is used for the computations as well as the graphical illustrations, respectively. Keywords: EW equation, RLW equation, Periodic solutions, METEM

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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