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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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{\textendash}Petviashvili} equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {205--211},
     year = {1996},
     volume = {108},
     number = {2},
     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
UR  - http://geodesic.mathdoc.fr/item/TMF_1996_108_2_a2/
LA  - ru
ID  - TMF_1996_108_2_a2
ER  - 
%0 Journal Article
%A D. Yu. Ostapenko
%A A. P. Pal-Val
%A E. Ya. Khruslov
%T Uniform asymptotic formulas for the curved solitons of the Kadomtsev–Petviashvili equations
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1996
%P 205-211
%V 108
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1996_108_2_a2/
%G ru
%F TMF_1996_108_2_a2
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/

[1] V. E. Zakharov, A. B. Shabat, Funkts. analiz i ego prilozh., 6:3 (1974), 43–53

[2] V. E. Zakharov, Izv. vuzov. Radiofizika, 29:9 (1986), 1073–1078 | MR

[3] I. A. Anders, V. P. Kotlyarov, E. Ya. Khruslov, TMF, 99:1 (1994), 27–35 | MR | Zbl

[4] I. A. Anders, Matem. fizika, analiz, geometriya, 1:2 (1994), 175–185 | MR | Zbl

[5] E. Ya. Khruslov, Matem. sb., 2 (1976), 261–281