Solutions to higher Hamiltonians in the Toda hierarchies

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1990-12-01

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Ferreira, L. A. [UNESP]
Londe, R. M.

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A method is presented for constructing the general solution to higher Hamiltonians (nonquadratic in the momenta) of the Toda hierarchies of integrable models associated with a simple Lie group G. The method is representation independent and is based on a modified version of the Lax operator. It constitutes a generalization of the method used to construct the solutions of the Toda molecule models. The SL(3) and SL(4) cases are discussed in detail. © 1990 American Institute of Physics.

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Journal of Mathematical Physics, v. 31, n. 12, p. 3041-3046, 1990.