Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy

Zhengduo Shan, Hongwei Yang and Baoshu Yin

Abstract and Applied Analysis, 2014, vol. 2014, 1-7

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:678725

DOI: 10.1155/2014/678725

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