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.