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

2002/10/18 by A. Boutet de Monvel, E. Khruslov, V. Kotlyarov
Mathematics · #math.AP

paper · pdf

published as J. Nonlinear Math. Phys. 9, no.1 (2002) 58-76 · arxiv version is already official

arxiv created 2002/10/18 · arxiv updated 2009/11/30

Abstract

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

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