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Soliton Asymptotics of Rear Part of Non-Localized Solutions of the Kadomtsev-Petviashvili Equation
2002
Journal of Nonlinear Mathematical Physics
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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.
doi:10.2991/jnmp.2002.9.1.6
fatcat:xp4tndur6fd5dit4lrvfom3eii