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2. A Generalization of the Wadati-Konno-Ichikawa Soliton Hierarchy and its Liouville Integrability.

Author

Ma, Wen-Xiu, Xia, Tiecheng, and Zhu, Zuonong

Subjects
SOLITONS, LIOUVILLE'S theorem, CURVATURE measurements, HAMILTONIAN systems, INTEGRABLE functions
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. [ABSTRACT FROM AUTHOR]

Published
2014
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