# $R$-matrices and Hamiltonian Structures for Certain Lax Equations

@article{Wu2010RmatricesAH, title={\$R\$-matrices and Hamiltonian Structures for Certain Lax Equations}, author={Chao-Zhong Wu}, journal={arXiv: Exactly Solvable and Integrable Systems}, year={2010} }

In this paper a list of $R$-matrices on a certain coupled Lie algebra is obtained. With one of these $R$-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.

## 7 Citations

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