New Solutions of Benney-Luke Equation Using The (G’/G,1/G) Method-Reference-Cited by-同舟云学术

New Solutions of Benney-Luke Equation Using The (G’/G,1/G) Method

Published:2024-04-24 Issue: Volume:23 Page:267-275
ISSN:2224-2880
Container-title:WSEAS TRANSACTIONS ON MATHEMATICS
language:en
Short-container-title:

Author:

Tuan Nguyen Minh¹^ORCID,Koonprasert Sanoe¹^ORCID,Sirisubtawee Sekson¹^ORCID,Meesad Phayung²^ORCID,Khansai Nattawut¹^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, 1518 Pracharat 1 Road, Wongsawang, Bangsue, Bangkok 10800, THAILAND

2. Information Technology and Management Department, King Mongkut’s University of Technology North Bangkok, 1518 Pracharat 1 Road, Wongsawang, Bangsue, Bangkok 10800, THAILAND

Abstract

The Benney-Luke equation has contributed to studying the propagation of the water wave surfaces. This paper illustrates the (G’/G,1/G)-method to obtain the solutions of the Benney-Luke equation and an extension of the Benney-Luke equation. The new types of solutions are also constructed to gather the performance and visualization in three dimensions for observing the behaviors. The solutions are found in the expressions of hyperbolic functions giving the general performance by selecting arbitrary constants.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

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