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Inozemtsev, V. I.; Meshcheryakov, D. V.

Extension of the class of integrable dynamical systems connected with semisimple Lie algebras. (English) Zbl 0573.58016

Lett. Math. Phys. 9, 13-18 (1985).
A new class of completely integrable systems connected with semisimple Lie algebras is found. This class generalizes most of the previously considered integrable systems describing a one-dimensional motion of interacting particles.

Cited in 1 Review
Cited in 22 Documents

MSC:

37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
17B65 Infinite-dimensional Lie (super)algebras

Keywords:

completely integrable systems; semisimple Lie algebras
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References:

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