Soliton asymptotics of rear part of non-localized solutions of the Kadomtsev-Petviashvili equation

de Monvel, A. Boutet; Khruslov, E.; Kotlyarov, V.

Soliton asymptotics of rear part of non-localized solutions of the Kadomtsev-Petviashvili equation

Authors

de Monvel, A. Boutet

Khruslov, E.

Kotlyarov, V.

Description

We construct non-localized, real global solutions of the Kadomtsev-Petviashvili-I equation which vanish for $x\to-\infty$ and study their large time asymptotic behavior. We prove that such solutions eject (for $t\to\infty$) a train of curved asymptotic solitons which move behind the basic wave packet.
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