Open Access
2014 Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy
Zhengduo Shan, Hongwei Yang, Baoshu Yin
Abstr. Appl. Anal. 2014(SI31): 1-7 (2014). DOI: 10.1155/2014/678725


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.


Download Citation

Zhengduo Shan. Hongwei Yang. Baoshu Yin. "Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy." Abstr. Appl. Anal. 2014 (SI31) 1 - 7, 2014.


Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07022864
MathSciNet: MR3240555
Digital Object Identifier: 10.1155/2014/678725

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI31 • 2014
Back to Top