An existence theory for gravity-capillary solitary water waves
type: Item
instance of: scholarly article
title: An existence theory for gravity-capillary solitary water waves
zbMATH Open document ID: 1486.76017
published in: Water Waves
publication date: 2022-01-03T00:00:00Z
review text: The author describes a simplified approach to the problem of existence of symmetric solitary wave solutions of the system for water waves when capillary and gravity effects are taken into account. This approach consists in a direct analysis of the problem in the so-called Zakharov-Craig-Sulem formulation, and application of fixed point arguments.
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 76B25
Mathematics Subject Classification ID: 76B45
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 7451747
zbMATH Keywords: symmetric solitary wave
zbMATH Keywords: Zakharov-Craig-Sulem formulation
zbMATH Keywords: travelling water wave equation
zbMATH Keywords: existence
zbMATH Keywords: fixed-point argument
zbMATH Keywords: Fourier analysis
author: Mark D. Groves
MaRDI profile type: Publication
full work available at URL: s42286-020-00045-7
OpenAlex ID: W3133385259
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DOI: 10.1007/S42286-020-00045-7
description: scientific article; zbMATH DE number 7451747