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Reduction of Hamiltonian systems, affine Lie algebra, and Lax equations. II. (English) Zbl 0442.58016


MSC:

37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
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References:

[1] Reyman, A.G., Semenov-Tian-Shansky, M.A.: Reduction of Hamiltonian systems, affine Lie algebras and Lax equations. Inventiones math.54, 81-100 (1979) · Zbl 0415.58012
[2] Dubrovin, B.A., Matveev, V.B., Novikov, S.P.: Nonlinear equations of the Korteweg-de Vries type and Abelian varieties. Uspekhi Math. Nauk31, 55-136 (1976) (Russian) · Zbl 0326.35011
[3] Krichever, I.M.: Algebraic curves and nonlinear difference equations. Uspekhi Mat. Nauk34, 215-216 (1978) (Russian) · Zbl 0382.39003
[4] Moerbeke, P., Mumford, D.: The spectrum of difference operators and algebraic curves. Acta Math.143, 93-154 (1979) · Zbl 0502.58032
[5] Adler, M., Moerbeke, P.: Completely integrable systems, Kac-Moody Lie algebras and curves. Adv. Math. in press (1981)
[6] Gohberg, I.Z., Feldman, I.A.: Convolution equations and projectional methods of their solution. Moscow: ?Nauka? 1971 (Russian)
[7] Reyman, A.G., Semenov-Tian-Shansky, M.A.: Current algebras and nonlinear partial differntial equations. Doklady AN SSSR251, 1310-1314 (1980) Sov. Math. Doklady (in press) · Zbl 0501.58018
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