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

Gravejat, Philippe

Gravejat, Philippe (2008), Asymptotics of the solitary waves for the generalised Kadomtsev-Petviashvili equations, Discrete and Continuous Dynamical Systems. Series A, 21, 3, p. 835-882. http://dx.doi.org/10.3934/dcds.2008.21.835

Type

Article accepté pour publication ou publié

External document link

http://hal.archives-ouvertes.fr/hal-00363293/en/

Date

2008

Journal name

Discrete and Continuous Dynamical Systems. Series A

Volume

Number

Pages

835-882

Abstract (EN)

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

Subjects / Keywords

solitary waves; Kadomtsev-Petviashvili equations; asymptotic decay