Geodesic
Uniform asymptotic formulas for the curved solitons of the Kadomtsev–Petviashvili equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 108 (1996) no. 2, pp. 205-211 
D. Yu. Ostapenko; A. P. Pal-Val; E. Ya. Khruslov. Uniform asymptotic formulas for the curved solitons of the Kadomtsev–Petviashvili equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 108 (1996) no. 2, pp. 205-211. http://geodesic.mathdoc.fr/item/TMF_1996_108_2_a2/
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     author = {D. Yu. Ostapenko and A. P. Pal-Val and E. Ya. Khruslov},
     title = {Uniform asymptotic formulas for the curved solitons of the {Kadomtsev{\textendash}Petviashvili} equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_108_2_a2/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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