Refraction simulation of nonlinear wave for Shallow Water-Like equation
Celal Bayar Üniversitesi Fen Bilimleri Dergisi, cilt.19, sa.1, ss.47-52, 2023 (TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 19 Sayı: 1
- Basım Tarihi: 2023
- Doi Numarası: 10.18466/cbayarfbe.1145651
- Dergi Adı: Celal Bayar Üniversitesi Fen Bilimleri Dergisi
- Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.47-52
- Atatürk Üniversitesi Adresli: Evet
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.