Hierarchy of integrable Hamiltonians describing of nonlinear n-wave interaction

Abstract

In the paper we construct an hierarchy of integrable Hamiltonian systems which describe the variation of n-wave envelopes in nonlinear dielectric medium. The exact solutions for some special Hamiltonians are given in terms of elliptic functions of the first kind.

17 pages

References in corpus (1)

• Hierarchy of Hamilton equations on Banach Lie-Poisson spaces related to restricted Grassmannian

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