Z. Naturforsch. 69a, 411 – 419
(2014)
doi:10.5560/ZNA.2014-0035
A Counterpart of the Wadati–Konno–Ichikawa Soliton Hierarchy Associated with so(3,R)
Wen-Xiu
Ma1,
Solomon
Manukure1, and
Hong-Chan
Zheng2
1 Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA
2 Department of Applied Mathematics, Northwestern Polytechnical University, 710072 Xian, PR China
Received January 16, 2014 / revised March 3, 2014 / published online June 18, 2014
A counterpart of the Wadati–Konno–Ichikawa (WKI) soliton hierarchy, associated with so(3,ℝ ), is presented through the zero curvature formulation. Its spectral matrix is defined by the same linear combination of basis vectors as the WKI one, and its Hamiltonian structures yielding Liouville integrability are furnished by the trace identity.
Key words: Spectral Problem; Hereditary Recursion Operator; Bi-Hamiltonian Structure.