In our paper, the theory of bi-integrable and tri-integrable couplings is generalized to the discrete case. First, based on the six-dimensional real special orthogonal Lie algebra SO(4), we construct bi-integrable and tri-integrable couplings associated with SO(4) for a hierarchy from the enlarged matrix spectral problems and the enlarged zero curvature equations. Moreover, Hamiltonian structures of the obtained bi-integrable and tri-integrable couplings are constructed by the variational identities.
@article{bwmeta1.element.doi-10_1515_math-2017-0017,
author = {Jian Zhang and Chiping Zhang and Yunan Cui},
title = {Bi-integrable and tri-integrable couplings of a soliton hierarchy associated withSO(4)},
journal = {Open Mathematics},
volume = {15},
year = {2017},
pages = {203-217},
zbl = {06704079},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0017}
}
Jian Zhang; Chiping Zhang; Yunan Cui. Bi-integrable and tri-integrable couplings of a soliton hierarchy associated withSO(4). Open Mathematics, Tome 15 (2017) pp. 203-217. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0017/