Instability of capillary-gravity waves in water of arbitrary uniform depth
type: Item
instance of: scholarly article
title: Instability of capillary-gravity waves in water of arbitrary uniform depth
zbMATH Open document ID: 0628.76052
DOI: 10.1016/0165-2125(87)90017-5
published in: Wave Motion
publication date: 1987-01-01T00:00:00Z
review text: The Benjamin-Feir instability [\textit{T. B. Benjamin} and \textit{J. Feir}, J. Fluid Mech. 27, 417-430 (1967; Zbl 0144.471)] of periodic capillary- gravity waves on a liquid layer of arbitrary uniform depth is investigated. When surface tension is present, there is always instability for some wavenumber and liquid depth and bounds on the sideband frequencies for unbounded amplification are derived. The results are compared with the slow modulation theory using an averaged Lagrangian.
Mathematics Subject Classification ID: 76E05
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4022885
zbMATH Keywords: algebraic manipulation system MACSYMA
zbMATH Keywords: Benjamin-Feir instability
zbMATH Keywords: periodic capillary-gravity waves
zbMATH Keywords: surface tension
zbMATH Keywords: sideband frequencies
describes a project that uses: MACSYMA
author: Chirakkal Easwaran
author: Samir R. Majumdar
MaRDI profile type: Publication
full work available at URL: 0165-2125(87)90017-5
OpenAlex ID: W1977407025
cites work: The disintegration of wave trains on deep water Part 1. Theory
cites work: Non-linear dispersion of water waves
cites work: Instability of periodic capillary-gravity waves on deep water
cites work: Q4151274
description: scientific article; zbMATH DE number 4022885