Nguyen Minh Tuan, Sanoe Koonprasert, Sekson Sirisubtawee, Phayung Meesad, Nattawut Khansai, "New Solutions of Benney-Luke Equation Using The (G’/G,1/G) Method," WSEAS Transactions on Mathematics, vol. 23, pp. 267-275, 2024, DOI:10.37394/23206.2024.23.29
Nguyen Minh Tuan, Sanoe Koonprasert, Sekson Sirisubtawee, Phayung Meesad, Nattawut Khansai. New Solutions of Benney-Luke Equation Using The (G’/G,1/G) Method.
WSEAS Transactions on Mathematics. 2024;23:267-275. 10.37394/23206.2024.23.29
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 23, 2024
New Solutions of Benney-Luke Equation Using The (G’/G,1/G) Method
Authors: , , , ,
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.
Pages: 267-275 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 23, 2024, Art. #29 DOI: 10.37394/23206.2024.23.29
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