Back to Search
Start Over
An intermediate wavelength, weakly nonlinear theory for the evolution of capillary gravity waves
- Source :
-
Wave Motion . Dec2011, Vol. 48 Issue 8, p707-716. 10p. - Publication Year :
- 2011
-
Abstract
- Abstract: A new nonlinear evolution equation is derived for surface solitary waves propagating on a liquid–air interface where the wave motion is induced by a harmonic forcing. Instead of the traditional approach involving a base state of the long wave limit, a base state of harmonic waves is assumed for the perturbation analysis. This approach is considered to be more appropriate for channels of length just a few multiples of the depth. The dispersion relation found approaches the classical long wave limit. The weakly nonlinear dispersive waves satisfy a KdV-like nonlinear evolution equation with steeper nonlinearity. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 01652125
- Volume :
- 48
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Wave Motion
- Publication Type :
- Periodical
- Accession number :
- 67246994
- Full Text :
- https://doi.org/10.1016/j.wavemoti.2011.03.006