A few expanding integrable models of WKI hierarchy and their Hamiltonian structures
Kaishi Sun, Fasheng Liu2
1College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266510,China
2College of Transportation,Shandong University of Science and Technology, Qingdao 266510,China
The integrable coupling of the WKI hierarchy is obtained by the perturbation approach. With the help of a higher dimensional loop algebra, the coupling integrable couplings of the WKI hierarchy are obtained, respectively. Their Hamiltonian structures are worked out by employing the component-trace identities and variational identity.