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August  2008, 21(3): 835-882. doi: 10.3934/dcds.2008.21.835

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, France

Received  March 2007 Revised  November 2007 Published  April 2008

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 $N \geq 2$.
Keywords: asymptotic decay., Kadomtsev-Petviashvili equations, solitary waves.
Mathematics Subject Classification: Primary: 35Q35, 35Q51, 35Q53; Secondary: 35B40, 35C2.
Citation: Philippe Gravejat. Asymptotics of the solitary waves for the generalized Kadomtsev-Petviashvili equations. Discrete and Continuous Dynamical Systems, 2008, 21 (3) : 835-882. doi: 10.3934/dcds.2008.21.835
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