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

Jian 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 -