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Analyticity of solitary wave solutions to generalized Kadomtsev—Petviashvili equations

Published online by Cambridge University Press:  11 July 2007

Keiichi Kato  and
Patrick-Nicolas Pipolo
Keiichi Kato
Affiliation:
Department of Mathematics, Science University of Tokyo, 26 Wakamiya, Shinjuku-ku, Tokyo 162, Japan (kato@ma.kagu.sut.ac.jp)
Patrick-Nicolas Pipolo
Affiliation:
Department of Applied Mathematics, Science University of Tokyo, 1-3 Kagurazaka, Shinjuku-ku, Tokyo 162, JapanLaboratoire d'Analyse numérique et E.D.P., Bât. 425, Université de Paris-Sud, 91405 Orsay CedexFrance (patricknicolas.pipolo@axa-direct.co.jp)
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Abstract

In this paper we prove the existence and analyticity of solitary waves of generalized Kadomtsev–Petviashvili equations satisfying a set of conditions on linear and nonlinear terms which determine their behaviour at infinity and around 0.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 131 , Issue 2 , April 2001 , pp. 391 - 424
Copyright
Copyright © Royal Society of Edinburgh 2001

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