Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy. (13th July 2014)

• Record Type: Journal Article
• Authors: Shan, Zhengduo; Yang, Hongwei; Yin, Baoshu
• Other Names: Zhang Yufeng Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-07-13
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/678725
• Languages: English
• ISSNs: 1085-3375

Abstract

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.