Extensions of the matrix Gelfand-Dickey hierarchy from generalized Drinfeld-Sokolov reduction

Author:

Fehér László,Marshall Ian

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference36 articles.

1. Fehér, L., Harnad, J., Marshall, I.: Generalized Drinfeld-Sokolov reductions and KdV type hierarchies. Commun. Math. Phys.154, 181–214 (1993)

2. Gelfand, I.M., Dickey, L.A.: Fractional powers of operators and Hamiltonian systems. Funct. Anal. Appl.10: 4, 13–29 (1976); The resolvent and Hamiltonian systems. Funct. Anal. Appl.11: 2, 93–104 (1977).

3. Manin, Yu.I.: Algebraic aspects of nonlinear differential equations. J. Sov. Math.11, 1–122 (1979)

4. Drinfeld, V.G., Sokolov, V.V.: Equations of Korteweg-de Vries type and simple Lie algebras. Sov. Math. Dokl.23, 457–462 (1981); Lie algebras and equations of KdV type. J. Sov. Math.30, 1975–2036 (1985)

5. Wilson, G.: The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras. Ergod. Th. and Dynam. Sys.1, 361–380 (1981)

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