Hierarchy of integrable Hamiltonians describing of nonlinear n-wave interaction
Mathematical Physics
2012-12-05 v1 math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.1106.3217,
title = {Hierarchy of integrable Hamiltonians describing of nonlinear n-wave interaction},
author = {Anatol Odzijewicz and Tomasz Goliński},
journal= {arXiv preprint arXiv:1106.3217},
year = {2012}
}
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17 pages