Exact Solutions of the Benney–Luke Equation via (1/G')- Expansion Method

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DURUR H., YOKUŞ A.

Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, vol.8, no.1, pp.56-64, 2021 (Peer-Reviewed Journal)

• Publication Type: Article / Article
• Volume: 8 Issue: 1
• Publication Date: 2021
• Doi Number: 10.35193/bseufbd.833244
• Journal Name: Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi
• Page Numbers: pp.56-64
• Open Archive Collection: AVESIS Open Access Collection
• Bilecik Şeyh Edebali University Affiliated: No

Abstract

In this study, the(1/ ) G -expansion method was implemented to solve the Benney–Luke (BL) equation. Exactsolutions of the BL equation were obtained via this method. The solutions obtained from the BL equation were inhyperbolic form. 3D, 2D and contour graphs of obtained solutions are presented. Results show that the(1/ ) G - expansion method provides an efficient and straightforward mathematical instrument for finding solutions ofnonlinear evolution equations (NLEEs).