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Reductions and real forms of Hamiltonian systems related to N-wave type equations

V. S. Gerdjikov·G. G. Grahovski
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Abstract

Reductions of N-wave type equations related to simple Lie algebras and the hierarchy of their Hamiltonian structures are studied. The reduction group G_R is realized as a subgroup of the Weyl group of the corresponding algebra. Some of the reduced equations are of physical interest.

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V. S. Gerdjikov, G. G. Grahovski. 2000-09-16. Reductions and real forms of Hamiltonian systems related to N-wave type equations. https://arxiv.org/abs/nlin/0009035

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