A multiplicity result for solitary gravity-capillary waves in deep water via critical-point theory
type: Item
instance of: scholarly article
title: A multiplicity result for solitary gravity-capillary waves in deep water via critical-point theory
zbMATH Open document ID: 0965.76015
published in: Archive for Rational Mechanics and Analysis
publication date: 2001-07-29T00:00:00Z
review text: The authors prove an existence result for solitary wave solutions to the classical water wave problem. The hydrodynamic problem depends on two-dimensional parameters \(\alpha= gh/c^2\) and \(\beta= \sigma/\rho hc^2\), where \(g,\sigma,h,c,\rho\) denote, respectively, the acceleration due to gravity, the coefficient of surface tension, the asymptotic depth of water, the velocity of solitary wave, and the fluid density. The main result concerns the existence of infinitely many geometrically distinct modulated solitary wave solutions for certain values of the above parameters.
reviewed by: Augusto Muracchini
Mathematics Subject Classification ID: 76B25
Mathematics Subject Classification ID: 76B45
Mathematics Subject Classification ID: 35Q51
zbMATH DE Number: 1335229
zbMATH Keywords: infinitely many solitary wave solutions
zbMATH Keywords: existence result
zbMATH Keywords: two-dimensional parameters
author: Boris Buffoni
author: Mark D. Groves
MaRDI profile type: Publication
full work available at URL: s002050050141
OpenAlex ID: W2027325122
DOI: 10.1007/S002050050141
description: scientific article; zbMATH DE number 1335229