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

Abstract

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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