Equation for weakly non-one-dimensional waves in a liquid of finite depth. Soliton stability
type: Item
instance of: scholarly article
title: Equation for weakly non-one-dimensional waves in a liquid of finite depth. Soliton stability
zbMATH Open document ID: 0564.76033
DOI: 10.1007/BF01091096
published in: Fluid Dynamics
publication date: 1984-01-01T00:00:00Z
review text: In the present paper, a generalization analogous to \textit{M. J. Ablowitz} and \textit{H. Segur}, Stud. Appl. Math. 62, 249-262 (1980; Zbl 0447.76013) is made for waves in a liquid of finite depth in the case of a two-layer liquid. We obtain a weakly non-one-dimensional equation for a liquid of finite depth and use it to investigate the stability of solitons with respect to bending.
Mathematics Subject Classification ID: 76B25
Mathematics Subject Classification ID: 76E99
zbMATH DE Number: 3900360
zbMATH Keywords: bending perturbations
zbMATH Keywords: two-layer liquid
zbMATH Keywords: weakly non-one-dimensional equation
zbMATH Keywords: liquid of finite depth
zbMATH Keywords: stability of solitons
author: Michael S. Ruderman
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3900360