Multi-component Harry--Dym hierarchy and its integrable couplings as well as their Hamiltonian structures |
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| Authors: | Yang Hong-Wei and Dong Huan-He |
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| Institution: | College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, China |
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| Abstract: | This paper obtains the multi-component
Harry--Dym (H--D) hierarchy and its integrable couplings by
using two kinds of vector loop algebras \widetilde{G}3 and \widetilde{G}6.
The Hamiltonian structures of the above system are
given by the quadratic-form identity. The method can be used
to produce the Hamiltonian structures of the other
integrable couplings or multi-component hierarchies. |
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| Keywords: | Hamiltonian structure H--D
hierarchy quadratic-form identity |
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