Refraction simulation of nonlinear wave for Shallow Water-Like equation


Subaşı M.

Celal Bayar Üniversitesi Fen Bilimleri Dergisi, cilt.19, sa.1, ss.47-52, 2023 (Hakemli Dergi)

Özet

The generalized (3+1) dimensional Shallow Water-Like (SWL) equation, which is one of the higher dimensional evolution equations, is successfully constructed with 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 have a significant place in physical 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 the velocity of a 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 the velocity the wave reaches the breakage event is discussed.