nonlinear integrable couplings of levi hierarchy and wki hierarchy
;Zhengduo Shan;Hongwei Yang;Baoshu Yin
science and technology of advanced materials2014Vol. 2014pp. -
89
shan2014abstractnonlinear
Abstract
With the help of the known Lie algebra, a type of new 8-dimensional matrix Lie algebra is constructed in the paper. By using the 8-dimensional matrix Lie algebra, the nonlinear integrable couplings of the Levi hierarchy and the Wadati-Konno-Ichikawa (WKI) hierarchy are worked out, which are different from the linear integrable couplings. Based on the variational identity, the Hamiltonian structures of the above hierarchies are derived.