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

A. Boutet de Monvel·E. Khruslov·V. Kotlyarov
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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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A. Boutet de Monvel, E. Khruslov, V. Kotlyarov. 2002-10-18. Soliton asymptotics of rear part of non-localized solutions of the Kadomtsev-Petviashvili equation. https://arxiv.org/abs/math/0210295

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