Uniform asymptotic formulas for curved solitons of the Kadomtsev-Petviashvili equations |
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| Authors: | D. Yu. Ostapenko A. P. Pal-Val E. Ya. Khruslov |
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| Affiliation: | (1) Mathematical Department of the Physicotechnical Institute of Low Temperatures of the Ukrainian Academy of Sciences, Ukraine |
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| Abstract: | A special class of solutions to the Kadomtsev-Petviashvili equations is investigated in the limit t   . It is proved that these solutions split into an infinite series of curved solitons in the neighborhood of the wave front. Parameters of these solitons depend on the variable Y=y/t. Asymptotic formulas uniform in Y are obtained.Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 108, No. 2, pp. 205–211, August, 1996. |
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