Families of quai-bi-Hamiltonian systems and separability
solv-int
2015-06-26 v1 Exactly Solvable and Integrable Systems
Abstract
It is shown how to construct an infinite number of families of quasi-bi-Hamiltonian (QBH) systems by means of the constrained flows of soliton equations. Three explicit QBH structures are presented for the first three families of the constrained flows. The Nijenhuis coordinates defined by the Nijenhuis tensor for the corresponding families of QBH systems are proved to be exactly the same as the separated variables introduced by means of the Lax matrices for the constrained flows.
Keywords
Cite
@article{arxiv.solv-int/9906005,
title = {Families of quai-bi-Hamiltonian systems and separability},
author = {Yunbo Zeng and Wen-Xiu Ma},
journal= {arXiv preprint arXiv:solv-int/9906005},
year = {2015}
}
Comments
27 pages, Amstex, no figues, to be published in Journal of Mathematical Physics