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

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

2002-10-18

arxiv.org/abs/math/0210295v1

J. Nonlinear Math. Phys. 9, no.1 (2002) 58-76

Mathematics

Analysis of PDEs

arxiv version is already official

Scientific paper

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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