کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1900871 1045509 2011 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An intermediate wavelength, weakly nonlinear theory for the evolution of capillary gravity waves
موضوعات مرتبط
مهندسی و علوم پایه علوم زمین و سیارات زمین شناسی
پیش نمایش صفحه اول مقاله
An intermediate wavelength, weakly nonlinear theory for the evolution of capillary gravity waves
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Wave Motion - Volume 48, Issue 8, December 2011, Pages 707–716
نویسندگان
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