Refraction simulation of nonlinear wave for Shallow Water-Like equation

Year 2023, Volume: 19 Issue: 1, 47 - 52, 28.03.2023

Murat Subaşı , Hülya Durur

Abstract

The generalized (3+1) dimensional Shallow Water-Like equation (SWL), which is one of the higher dimensional evolution equations, is successfully constructed by aid of the (1/G')-expansion method, which is one of the analytical solution instruments in mathematics. Solitary waves are depicted by assigning specific values to the parameters in the SWL equation travelling wave solutions, which has an important place in physically energy transport. Graphics representing the solitary wave at any given moment are displayed in 2D, 3D and contours. A simulation of the wave is created for different values of velocity of solitary wave, which is a physical quantity. In addition, by keeping the parameters other than the rupture event of the wave constant, the situation at which speed the wave reaches to the breakage event is discussed.

Keywords

Exact solution, (1/G')-expansion method, solitary wave.

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