$R$-matrices and Hamiltonian Structures for Certain Lax Equations
Exactly Solvable and Integrable Systems
2013-05-07 v2 Mathematical Physics
math.MP
Abstract
In this paper a list of -matrices on a certain coupled Lie algebra is obtained. With one of these -matrices, we construct infinitely many bi-Hamiltonian structures for each of the two-component BKP and the Toda lattice hierarchies. We also show that, when such two hierarchies are reduced to their subhierarchies, these bi-Hamiltonian structures are reduced correspondingly.
Cite
@article{arxiv.1012.5245,
title = {$R$-matrices and Hamiltonian Structures for Certain Lax Equations},
author = {Chao-Zhong Wu},
journal= {arXiv preprint arXiv:1012.5245},
year = {2013}
}