This article is cited in 6 papers

Uniform asymptotic formulas for the curved solitons of the Kadomtsev–Petviashvili equations

D. Yu. Ostapenko, A. P. Pal-Val, E. Ya. Khruslov

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine

Abstract: The special class of solutions of the Kadomtsev–Petviashvili equations is investigated in the limit $t\to \infty$. It's proved that these solutions split into infinite series of curved solitons in the neighbourhood of the leading edge. Parameters of these solitons depend on the variable $Y=y/t$. Uniform in $Y$ asymptotic formulas are obtained.

Received: 16.11.1995

DOI: 10.4213/tmf1187

 English version: Theoretical and Mathematical Physics, 1996, 108:2, 1013–1018

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