New Solutions of Benney-Luke Equation Using The (G’/G,1/G) Method
Nguyen Minh Tuan, Sanoe Koonprasert, Sekson Sirisubtawee, Phayung Meesad, Nattawut Khansai
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.
Topics & Concepts
Applied mathematicsMathematicsNonlinear Waves and SolitonsFractional Differential Equations SolutionsModel Reduction and Neural Networks