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Tri-Hamiltonian duality between the Wadati-Konno-Ichikawa hierarchy and the Song-Qu-Qiao hierarchy.
- Source :
-
Journal of Mathematical Physics . Apr2013, Vol. 54 Issue 4, p043513-043513-10. 1p. - Publication Year :
- 2013
-
Abstract
- A linear eigenvalue problem is constructed for the gradients of the eigenvalue of the Wadati-Konno-Ichikawa (WKI) spectral problem. This in turn leads to a compatible pair of Hamiltonian operators, which endows the WKI hierarchy with a bi-Hamiltonian structure. Furthermore, a proper recombination of these two Hamiltonian operators, or the duality of this bi-Hamiltonian structure, generates a coupled system of Camassa-Holm type, which is nothing but a system proposed by Song, Qu, and Qiao [J. Math. Phys. 52, 013503 (2011)] recently. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 54
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 87372489
- Full Text :
- https://doi.org/10.1063/1.4801858