Construction of exact traveling wave solutions of the Bogoyavlenskii equation by (G′/G,1/G)-expansion and (1/G′)-expansion techniques

In this article, we construct exact solutions of the Bogoyavlenskii equation using (1/G′)-expansion and (G′/G,1/G)-expansion techniques. Both techniques have been successfully implemented to obtain exact solutions including hyperbolic, complex trigonometric, trigonometric and rational solutions of t...

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Bibliographic Details
Main Authors: Asíf Yokus, Hülya Durur, Hijaz Ahmad, Phatiphat Thounthong, Ying-Fang Zhang
Format: Article
Language:English
Published: Elsevier 2020-12-01
Series:Results in Physics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379720318763
Description
Summary:In this article, we construct exact solutions of the Bogoyavlenskii equation using (1/G′)-expansion and (G′/G,1/G)-expansion techniques. Both techniques have been successfully implemented to obtain exact solutions including hyperbolic, complex trigonometric, trigonometric and rational solutions of the Bogoyavlenskii equation. 3D, contour and 2D graphics are presented of the solutions obtained for different special values. Further, the advantages and disadvantages of both the techniques have been discussed in this study. The proposed techniques are reliable and applicable for attaining wave solutions of nonlinear differential equations. Also, these techniques can greatly minimize the size of computing work compared to other available techniques.
ISSN:2211-3797