TY - JOUR
T1 - New integrable couplings and Hamiltonian structure of the KN hierarchy and the DLW hierarchy
AU - Zhang, Yufeng
AU - Tam, Honwah
N1 - Funding Information:
The author (Y. Zhang) is very grateful to the referee’s revised comments. This work was supported by The National Science Foundation of China (10471139) and Hong Kong Research Grant Council grant HKBU/2016/05p.
PY - 2008/6
Y1 - 2008/6
N2 - Two new loop algebras over(F, ∼) and over(G, ∼) are constructed, which are devoted to establishing the resulting isospectral problems. By taking use of the compatibility of Lax pairs, the two corresponding zero curvature equations are presented from which the integrable couplings of the KN hierarchy and the dispersive long wave hierarchy (briefly called DLW hierarchy). As far as we can see, the above results are new. Again via employing the quadratic identity, the Hamiltonian structures of the two well-known integrable systems are obtained, respectively, and they are Liouville integrable.
AB - Two new loop algebras over(F, ∼) and over(G, ∼) are constructed, which are devoted to establishing the resulting isospectral problems. By taking use of the compatibility of Lax pairs, the two corresponding zero curvature equations are presented from which the integrable couplings of the KN hierarchy and the dispersive long wave hierarchy (briefly called DLW hierarchy). As far as we can see, the above results are new. Again via employing the quadratic identity, the Hamiltonian structures of the two well-known integrable systems are obtained, respectively, and they are Liouville integrable.
KW - Hamiltonian structure
KW - Integrable coupling
KW - Quadratic identity
KW - Trace identity
UR - http://www.scopus.com/inward/record.url?scp=34848907747&partnerID=8YFLogxK
U2 - 10.1016/j.cnsns.2006.06.003
DO - 10.1016/j.cnsns.2006.06.003
M3 - Journal article
AN - SCOPUS:34848907747
SN - 1007-5704
VL - 13
SP - 524
EP - 533
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
IS - 3
ER -