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We construct non-localized, real global solutions of theKadomtsev-Petviashvili-I equation which vanish for $x\to-\infty$ and studytheir large time asymptotic behavior. We prove that such solutions eject (for$t\to\infty$) a train of curved asymptotic solitons which move behind the basicwave packet.

Soliton Asymptotics of Rear Part of Non-Localized Solutions of the Kadomtsev-Petviashvili Equation