Geodesic
Finite-gap solutions of the massive Thirring model
Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 3, pp. 377-387 
R. F. Bikbaev. Finite-gap solutions of the massive Thirring model. Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 3, pp. 377-387. http://geodesic.mathdoc.fr/item/TMF_1985_63_3_a5/
@article{TMF_1985_63_3_a5,
     author = {R. F. Bikbaev},
     title = {Finite-gap solutions of the massive {Thirring} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {377--387},
     year = {1985},
     volume = {63},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_63_3_a5/}
}
TY  - JOUR
AU  - R. F. Bikbaev
TI  - Finite-gap solutions of the massive Thirring model
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1985
SP  - 377
EP  - 387
VL  - 63
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1985_63_3_a5/
LA  - ru
ID  - TMF_1985_63_3_a5
ER  - 
%0 Journal Article
%A R. F. Bikbaev
%T Finite-gap solutions of the massive Thirring model
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1985
%P 377-387
%V 63
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1985_63_3_a5/
%G ru
%F TMF_1985_63_3_a5

Voir la notice de l'article provenant de la source Math-Net.Ru

Nonsingular finite-gap solutions of the massive Thirring model are constructed. Very simple elliptic solutions are found.

[1] Mikhailov A. V., Pisma v ZhETF, 23 (1976), 356–358

[2] Kuznetsov E. A., Mikhailov A. V., TMF, 30:3 (1977), 303–314 | MR

[3] Golod P. I., Prikarpatskii A. K., Preprint ITF-78-18R, ITF, Kiev, 1978

[4] Date E., Progress of Theor. Phys., 59:1 (1978), 265–273 | DOI | MR

[5] Bikbaev R. F., Bobenko A. I., Its A. R., DAN SSSR, 272:6 (1983), 1293–1298 | MR | Zbl

[6] Its A. R., Zap. nauchn. semin. LOMI, 133, 1984, 113–125 | MR | Zbl

[7] Iimbo M., Miwa T., Ueno K., Preprint RIMS, 319, RIMS, Kyoto, 1980

[8] Iimbo M., Miwa T., Preprint RIMS, 327, RIMS, Kyoto, 1980

[9] Bikbaev R. F., Bobenko A. I., Preprint LOMI E-8-83, LOMI, Leningrad, 1983

[10] Dubrovin B. A., Natanzon S. M., Funkts. analiz i ego prilozh., 16:1 (1982), 27–43 | MR | Zbl

[11] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii, t. 3, Nauka, M., 1967 | MR

[12] Forest M. G., Mc. Laughlin D. W., J. Math. Phys., 23:7 (1982), 1248–1277 | DOI | MR | Zbl

[13] Belokolos E. D., Enol'skii V. Z., Preprint ITP ITP-82-36E, ITP, Kiev, 1982 | MR

[14] Babich M. V., Bobenko A. I., Matveev V. B., DAN SSSR, 270:6 (1983), 1311–1314 | MR

[15] Fay I., Theta-functions on Riemann surface, Lecture Notes in Math., 352, Springer-Verlag, 1973 | DOI | MR | Zbl