- Tytuł:
- Certain solutions of periodic long waves with non-linear dispersion
- Autorzy:
- Chybicki, W.
- Powiązania:
- https://bibliotekanauki.pl/articles/241183.pdf
- Data publikacji:
- 2004
- Wydawca:
- Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
- Tematy:
-
long waves
Langrangian description - Opis:
- The paper describes some special solutions of the long water waves theory proposed by Wilde. The wave equation is derived with the help of a variational formulation of the problem with the Langrangian being the difference between the kinetic and potential energies. In order to look for travelling wave solutions the simple transformation is made. The solutions have been found in the same way as in the KdV equation. Solutions for different wave amplitudes are presented in the paper. The special cases of solutions are solitary waves. It is proved that bounded solutions of an equation can represent periodic or solitary waves and both length and velocity of waves increase when the height of waves increases.
- Źródło:
-
Archives of Hydro-Engineering and Environmental Mechanics; 2004, 51, 4; 307-315
1231-3726 - Pojawia się w:
- Archives of Hydro-Engineering and Environmental Mechanics
- Dostawca treści:
- Biblioteka Nauki