Uniform asymptotic formulas for the curved solitons of the Kadomtsev--Petviashvili equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 108 (1996) no. 2, pp. 205-211
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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.
@article{TMF_1996_108_2_a2,
author = {D. Yu. Ostapenko and A. P. Pal-Val and E. Ya. Khruslov},
title = {Uniform asymptotic formulas for the curved solitons of the {Kadomtsev--Petviashvili} equations},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {205--211},
publisher = {mathdoc},
volume = {108},
number = {2},
year = {1996},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1996_108_2_a2/}
}
TY - JOUR AU - D. Yu. Ostapenko AU - A. P. Pal-Val AU - E. Ya. Khruslov TI - Uniform asymptotic formulas for the curved solitons of the Kadomtsev--Petviashvili equations JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1996 SP - 205 EP - 211 VL - 108 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1996_108_2_a2/ LA - ru ID - TMF_1996_108_2_a2 ER -
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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/