Geodesic
Finite-gap solutions of the Bullough–Dodd–Zhiber–Shabat equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 82 (1990) no. 1, pp. 155-160 
I. Yu. Cherdantsev; R. A. Sharipov. Finite-gap solutions of the Bullough–Dodd–Zhiber–Shabat equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 82 (1990) no. 1, pp. 155-160. http://geodesic.mathdoc.fr/item/TMF_1990_82_1_a15/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Explicit expressions in terms of Prym theta functions are obtained for finite-gap solutions of the Bullough–Dodd–Zhiber–Shabat equation, and conditions that ensure reality and nonsingularity of these finite-gap solutions are established.

[1] Bullough R. K., Dodd R. K., Proc. Roy. Soc. London. A, 352a (197), 4811 | MR

[2] Zhiber A. V., Shabat A. B., DAN SSSR, 247:5 (1979), 1103–1105 | MR

[3] Mikhailov A. V., Physica 3D, 1:2 (1981), 73–117 | Zbl

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

[5] Novikov S. P., Funkts. analiz i ego prilozh., 8:3 (1974), 54–66 | MR | Zbl

[6] Dubrovin B. A., UMN, 36:2 (1981), 11–80 | MR | Zbl

[7] Veselov A. P., Novikov S. P., DAN SSSR, 279:1 (1984), 20–24 | MR | Zbl

[8] Veselov A. P., Novikov S. P., DAN SSSR, 279:4 (1984), 784–788 | MR | Zbl

[9] Drinfeld V. G., Sokolov V. V., “Simmetrii v uravneniyakh Laksa”, Integriruemye sistemy, Bashk. fil. AN SSSR, Ufa, 1982

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