Asymptotics of the solitary waves for the generalized Kadomtsev-Petviashvili equations

Philippe Gravejat

doi:10.3934/dcds.2008.21.835

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2008, Volume 21, Issue 3: 835-882. Doi: 10.3934/dcds.2008.21.835

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Asymptotics of the solitary waves for the generalized Kadomtsev-Petviashvili equations

Philippe Gravejat^1,

1.
Centre de Recherche en Mathématiques de la Décision, Université Paris Dauphine, Place du Maréchal De Lattre De Tassigny, 75775 Paris Cedex 16

Received: February 28, 2007

Revised: October 31, 2007

Published: August 2008

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Abstract

We investigate the asymptotic behaviour of the localized solitary waves for the generalized Kadomtsev-Petviashvili equations. In particular, we compute their first order asymptotics in any dimension $N \geq 2$.

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Mathematics Subject Classification: Primary: 35Q35, 35Q51, 35Q53; Secondary: 35B40, 35C20.

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Asymptotics of the solitary waves for the generalized Kadomtsev-Petviashvili equations

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