TY - JOUR
T1 - The Hamiltonian Structure of Two Integrable Expanding Models
JO - Journal of Partial Differential Equations
VL - 4
SP - 337
EP - 348
PY - 2007
DA - 2007/11
SN - 20
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5313.html
KW - Integrable coupling
KW - Hamiltonian structure
KW - quadratic-form identity
AB -  In this paper, an extended loop algebra is constructed from which an isospectral problem established. It follows that the integrable couplings of the Tu hierarchy and M-AKNS-KN hierarchy are obtained, and their Hamilton structures are presented by the quadratic-form identity. Moreover, we guarantee that the expanding model we obtained are also Liouville integrable.