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Stability and instability of some nonlinear dispersive solitary waves in higher dimension

Published online by Cambridge University Press:  14 November 2011

Anne de Bouard
Anne de Bouard
Affiliation:
Laboratoire d'Analyse Numérique, Université Paris-Sud, Bâtiment 425, 91405 Orsay, France
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Abstract

We study the stability of positive radially symmetric solitary waves for a three dimensional generalisation of the Korteweg de Vries equation, which describes nonlinear ion-acoustic waves in a magnetised plasma, and for a generalisation in dimension two of the Benjamin–Bona–Mahony equation.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 126 , Issue 1 , 1996 , pp. 89 - 112
Copyright
Copyright © Royal Society of Edinburgh 1996

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