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

A. Boutet de Monvel, E. Khruslov, V. Kotlyarov

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 t…