# Bi-integrable and tri-integrable couplings of a soliton hierarchy associated withSO(4)

Jian Zhang; Chiping Zhang; Yunan Cui

Open Mathematics (2017)

- Volume: 15, Issue: 1, page 203-217
- ISSN: 2391-5455

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topJian Zhang, Chiping Zhang, and Yunan Cui. "Bi-integrable and tri-integrable couplings of a soliton hierarchy associated withSO(4)." Open Mathematics 15.1 (2017): 203-217. <http://eudml.org/doc/288063>.

@article{JianZhang2017,

abstract = {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.},

author = {Jian Zhang, Chiping Zhang, Yunan Cui},

journal = {Open Mathematics},

keywords = {Bi-integrable couplings; Tri-integrable couplings; Zero curvature equations; Hamiltonian structures; bi-integrable couplings; tri-integrable couplings; zero curvature equations},

language = {eng},

number = {1},

pages = {203-217},

title = {Bi-integrable and tri-integrable couplings of a soliton hierarchy associated withSO(4)},

url = {http://eudml.org/doc/288063},

volume = {15},

year = {2017},

}

TY - JOUR

AU - Jian Zhang

AU - Chiping Zhang

AU - Yunan Cui

TI - Bi-integrable and tri-integrable couplings of a soliton hierarchy associated withSO(4)

JO - Open Mathematics

PY - 2017

VL - 15

IS - 1

SP - 203

EP - 217

AB - 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.

LA - eng

KW - Bi-integrable couplings; Tri-integrable couplings; Zero curvature equations; Hamiltonian structures; bi-integrable couplings; tri-integrable couplings; zero curvature equations

UR - http://eudml.org/doc/288063

ER -

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