کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1900871 | 1045509 | 2011 | 10 صفحه PDF | دانلود رایگان |

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.
Research highlights
► Derivation of new evolution equation for capillary gravity waves.
► Perturbation expansion about a harmonic base state.
► Dispersion relation consistent with KdV shallow water theory in long-wave limit.
Journal: Wave Motion - Volume 48, Issue 8, December 2011, Pages 707–716