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

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

2000-09-16

arxiv.org/abs/nlin/0009035v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

4 pages, LaTeX 2e

Scientific paper

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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