@article{TMF_1992_92_3_a7,
author = {M. V. Saveliev},
title = {On the integrability problem of a~continuous {Toda} system},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {457--465},
year = {1992},
volume = {92},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TMF_1992_92_3_a7/}
}
M. V. Saveliev. On the integrability problem of a continuous Toda system. Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 3, pp. 457-465. http://geodesic.mathdoc.fr/item/TMF_1992_92_3_a7/
[1] Saveliev M. V., Proc. of IX-th Intern. Congress on Math. Phys., eds. B. Simon, A. Truman, I. M. Davies, A. Hilger, Bristol–New York, 1988, 325 | MR
[2] Saveliev M. V., Commun. Math. Phys., 121 (1989), 283 | DOI | MR | Zbl
[3] Saveliev M. V., Vershik A. M., Comm. Math. Phys., 126 (1989), 367 | DOI | MR | Zbl
[4] Saveliev M. V., Vershik A. M., Phys. Lett. A, 143 (1990), 121 | DOI | MR
[5] Leznov A. N., Saveliev M. V., Group methods for integration of nonlinear dynamical systems, Nauka, Moscow, 1985 ; Birkhaiiser-Verlag, to appear | MR | Zbl | Zbl
[6] Leznov A. N., Saveliev M. V., Acta Appl. Math., 16 (1989), 1 | DOI | MR | Zbl
[7] Boyer C., Finley D., J. Math. Phys., 23 (1982), 1126 | DOI | MR | Zbl
[8] Gegenberg J. D., Das A., Gen. Rel. Grav., 16 (1984), 817 | DOI | MR | Zbl
[9] LeBrun C., J. Diff. Geom., 34 (1991), 223 | DOI | MR | Zbl
[10] Hitchin N. J., Twistor geometry and nonlinear systems, Lecture Notes in Math., 970, eds. H. D. Doebner, T. Weber, Springer-Verlag, New York, 1982 | MR
[11] Jones P. E., Tod K. P., Class. Quantum Grav., 2 (1985), 565 | DOI | MR | Zbl
[12] Donaldson S. K., Friedman R., Nonlinearity, 2 (1989), 197 | DOI | MR | Zbl
[13] Ward R. S., Class. Quantum Grav., 7:L95 (1990) | MR
[14] Delduc F., Saveliev M. V., Sorba P., Phys. Lett. B, 277 (1992), 411 | DOI | MR
[15] Kupershmidt B. A., “Discrete Lax equations and differential-difference calculus”, Astérisque, 1985, no. 123, 212 | MR | Zbl
[16] Golenisheva-Kutuzova M. I., Reyman A. G., Zap. Nauch. Semin. LOMI, 169 (1988), 44
[17] Bogoyavlensky O. I., Izv. Acad. Nauk SSSR. Ser. mat., 51 (1987), 737 ; 52 (1988), 712
[18] Galaktionov V. A. et al., Itogi Nauki i Techniki. Sovrem. problemy matem. Noveishie dostizenia, 28, 1986, 95 | MR | Zbl
[19] Baikov V. A., Gazizov R. K., Ibragimov N. Ch., Itogi Nauki i Tekhniki. Current problems in mathematics. Newest results, 34, Akad. Nauk SSSR Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 1989, 85–147, 195 (Russian) | MR
[20] Gümral H., Nutku Y., J. Math. Phys., 31 (1990), 2606 | DOI | MR | Zbl
[21] Takasaki K., Preprints RIMS-743, 747, 1991
[22] Krichever I. M., Universal Whitham hierarchy, $r$-function, and topological field theories, preprint LPTENS, Paris, 1992 | MR
[23] Brockett R. W., Block A., Proc. CRM Workshop on Hamiltonian Systems, eds. J. Harnad, J. E. Marsden, Montreal, 1990 | MR
[24] Bloch A., Brockett R. W., Kodama Y., Ratiu T., Proc. CRM Workshop on Hamiltonian Systems, eds. J. Harnad, J. E. Marsden, Montreal, 1990 | MR
[25] Lax P., Differential equations and related problems, Moscow University, Moscow, 1991
[26] Kashaev R. M., Saveliev M. V., Savelieva S. A., Vershik A. M., Preprint PAM-497, Berkeley, 1990; Ideas and methods in mathematical analysis, Memory of R. Høegh-Krohn, Cambridge Univ. Press, Cambridge, 1992 | MR
[27] Saveliev M. V., Sorba P., Lett. Math. Phys., 22 (1991), 119 | DOI | MR | Zbl
[28] Adams M., Ratiu T., Schmid R., Infinite dimensional groups with applications, ed. V. Kac, Springer-Verlag, New York, 1985 | MR
[29] Kodama Y., hys. Lett. A, 147 (1990), 477 | DOI | MR
[30] Takasaki K., Takebe T., Preprint RIMS-790, Kyoto, 1991 | MR
[31] Finley J. D., Saveliev M. V., Phys. Lett. A, 162 (1992), 1 | DOI | MR
[32] Saveliev M. V., Mod. Phys. Lett. A, 5:27 (1990), 2223 | DOI | MR | Zbl