Modulation solutions for the Benjamin-Ono equation
type: Item
instance of: scholarly article
title: Modulation solutions for the Benjamin-Ono equation
zbMATH Open document ID: 0933.35170
DOI: 10.1016/S0167-2789(99)00039-1
author: M. C. Jorge
author: Noel F. Smyth
author: A. A. Minzoni
published in: Physica D
publication date: 1999-11-25T00:00:00Z
review text: Modulation solutions for three initial value problems for the Benjamin-Ono equation are studied. The first problem studied is the dispersive resolution of a step initial condition. An explicit solution of Gurevich-Pitaevskii type is derived, which explains the dispersive resolution of the step in terms of modulations. The second problem is the dispersive resolution of a breaking initial condition, while the third problem is the generation of a second phase as the result of the evolution of a modulated single phase wave. Again explicit modulation solutions for these problems are derived.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 76B55
Mathematics Subject Classification ID: 76T10
zbMATH DE Number: 1370236
zbMATH Keywords: modulation solutions
zbMATH Keywords: Benjamin-Ono equation
zbMATH Keywords: step initial condition
zbMATH Keywords: breaking initial condition
zbMATH Keywords: generation of a second phase
MaRDI profile type: Publication
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full work available at URL: s0167-2789(99)00039-1
OpenAlex ID: W2041525863
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description: scientific article; zbMATH DE number 1370236