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Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy

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  • Zhengduo Shan
  • Hongwei Yang
  • Baoshu Yin

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.

Suggested Citation

  • Zhengduo Shan & Hongwei Yang & Baoshu Yin, 2014. "Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, July.
    • Handle: RePEc:hin:jnlaaa:678725
    DOI: 10.1155/2014/678725
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