nonlinear integrable couplings of levi hierarchy and wki hierarchy

nonlinear integrable couplings of levi hierarchy and wki hierarchy

;Zhengduo Shan;Hongwei Yang;Baoshu Yin
science and technology of advanced materials 2014 Vol. 2014 pp. -
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.

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136582
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10.1155/2014/678725
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