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Olshanetsky, M.A.; Perelomov, A.M.
Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Moscow. Inst. Teoreticheskoj i Ehksperimental'noj Fiziki1978
Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Moscow. Inst. Teoreticheskoj i Ehksperimental'noj Fiziki1978
AbstractAbstract
[en] The explicit solution of the generalized Toda models connected with the root systems of the simple Lie algebras is constructed. This solution is obtained by special projection of the geodesic flows on some symmetric spaces on the phase space of the Toda models. In particular, for the usual N-body Toda model the solutions are expressed by minors of exponent of the Jacoby matrix depending on initial data
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1978; 15 p; 17 refs.; 1 fig.
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