Some Bi-Hamiltonian Equations in $R^3$
Exactly Solvable and Integrable Systems
2015-06-26 v3
Abstract
Hamiltonian formulation of N=3 systems is considered in general. The Jacobi equation is solved in three classes. Compatible Poisson structures in these classes are determined and explicitly given. The corresponding bi-Hamiltonian systems are constructed and some explicit examples are given.
Keywords
Cite
@article{arxiv.nlin/0304002,
title = {Some Bi-Hamiltonian Equations in $R^3$},
author = {Ahmet Ay and Metin Gurses and Kostyantyn Zheltukhin},
journal= {arXiv preprint arXiv:nlin/0304002},
year = {2015}
}
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25 pages