Geodesic
Solutions of the KdV equation elliptic in $t$
Teoretičeskaâ i matematičeskaâ fizika, Tome 100 (1994) no. 2, pp. 183-198 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Two ansatz of the Krichever curves for the elliptic in $t$ solutions of the KdV equation are considered. Examples are given. 
@article{TMF_1994_100_2_a2,
     author = {A. O. Smirnov},
     title = {Solutions of the {KdV} equation elliptic in $t$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {183--198},
     year = {1994},
     volume = {100},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a2/}
}
TY  - JOUR
AU  - A. O. Smirnov
TI  - Solutions of the KdV equation elliptic in $t$
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1994
SP  - 183
EP  - 198
VL  - 100
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a2/
LA  - ru
ID  - TMF_1994_100_2_a2
ER  - 
%0 Journal Article
%A A. O. Smirnov
%T Solutions of the KdV equation elliptic in $t$
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1994
%P 183-198
%V 100
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a2/
%G ru
%F TMF_1994_100_2_a2
A. O. Smirnov. Solutions of the KdV equation elliptic in $t$. Teoretičeskaâ i matematičeskaâ fizika, Tome 100 (1994) no. 2, pp. 183-198. http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a2/

[1] Dubrovin B. A., Novikov S. P., ZhETF, 67:12 (1974), 2131–2143 | MR

[2] Airault H., McKean H. P., Moser J., Commun. Pure Appl. Math., 30 (1977), 95–148 | DOI | MR | Zbl

[3] Zakharov B. E., Manakov S. V., Novikov S. P., Pitaevskii L. P., Teoriya solitonov: metod obratnoi zadachi, Nauka, M., 1980 | MR

[4] Krichever I. M., Funkts. analiz i ego prilozh., 14:4 (1980), 45–54 | MR | Zbl

[5] Belokolos E. D., Enolskii V. Z., TMF, 53:2 (1982), 271–282 | MR | Zbl

[6] Babich M. V., Bobenko A. I., Matveev V. B., DAN SSSR, 272:1 (1983), 13–17 | MR | Zbl

[7] Belokolos E. D., Bobenko A. I., Matveev V. B., Enolskii V. Z., UMN, 41:2 (1986), 3–42 | MR | Zbl

[8] Matveev V. B., Smirnov A. O., DAN SSSR, 293:1 (1987), 78–82 | MR | Zbl

[9] Smirnov A. O., Matem. sb., 133(175):7 (1987), 382–391 | MR | Zbl

[10] Smirnov A. O., TMF, 78:1 (1989), 11–21 | MR

[11] Verdier J.-L., “New elliptic solitons”, Algebraic analysis, v. II, Academic Press, Boston, MA, 1988, 901–910 | DOI | MR

[12] Treibich A., Duke Math. J., 59:3 (1989), 611–627 | DOI | MR | Zbl

[13] Treibich A., Verdier J.-L., “Solitons elliptiques”, The Grothendieck Festschrift, v. III, Progr. Math., 88, Birkhäuser Boston, Boston, MA, 1990, 437–480 | MR | Zbl

[14] Belokolos E. D., Enolskii V. Z., UMN, 44:5 (1989), 155–156 | MR | Zbl

[15] Belokolos E. D., Enolskii V. Z., Funkts. analiz i ego prilozh., 23:1 (1989), 57–58 | MR | Zbl

[16] Smirnov A. O., Mat. zametki, 45:6 (1989), 66–73 | MR | Zbl

[17] Taimanov I. A., TMF, 84:1 (1990), 38–45 | MR | Zbl

[18] Smirnov A. O., Matem. sb., 181:6 (1990), 804–812 | MR | Zbl

[19] Smirnov A. O., Mat. zametki, 46:5 (1989), 100–102 | MR | Zbl

[20] Its A. R., Matveev V. B., TMF, 23:1 (1975), 51–68 | MR

[21] Dubrovin B. A., Matveev V. B., Novikov S. P., UMN, 31:1 (1976), 55–136 | MR | Zbl

[22] Krazer A., Lehrbuch der Thetafunktionen, Teubner, Leipzig, 1903 | MR | Zbl

[23] Its A. R., Enolskii V. Z., Funkts. analiz i ego prilozh., 20:1 (1986), 73–74 | MR | Zbl