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arxiv: nlin/0009035 · v1 · submitted 2000-09-16 · 🌊 nlin.SI

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

classification 🌊 nlin.SI
keywords equationsgrouphamiltoniann-wavereductionsrelatedtypealgebra
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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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