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A Generalization of the Wadati-Konno-Ichikawa Soliton Hierarchy and its Liouville Integrability
-
Wen-Xiu Ma
,
Tiecheng Xia
Published/Copyright:
September 23, 2014
Abstract
A new matrix spectral problem associated with sl(2,
), which generalizes the Wadati-Konno-Ichikawa spectral problem, is introduced, and the corresponding hierarchy of soliton equations is generated from the associated zero curvature equations. A bi-Hamiltonian structure of the resulting generalized soliton hierarchy is furnished by using the trace identity, and thus, every system in the generalized hierarchy is Liouville integrable.
Received: 2014-1-19
Accepted: 2014-8-20
Published Online: 2014-9-23
Published in Print: 2014-10-1
©2014 by Walter de Gruyter Berlin/Munich/Boston
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