Research PapersNo Access

R-MATRICES AND HAMILTONIAN STRUCTURES FOR CERTAIN LAX EQUATIONS

CHAO-ZHONG WU

SISSA, via Bonomea 265, 34136 Trieste, Italy

Marie Curie fellow of the Istituto Nazionale di Alta Matematica.

https://doi.org/10.1142/S0129055X13500050Cited by:6 (Source: Crossref)

Abstract

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.

Keywords:

AMSC: 37K10, 17B80

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