By enlarging the spatial and temporal spectral problems within a certain Lie algebra, a hierarchy of integrable couplings of the Kaup-Newell soliton equations is constructed. The recursion operator of the resulting hierarchy of integrable couplings is explicitly computed. The integrability of the new coupling hierarchy is exhibited by showing the existence of infinitely many commuting symmetries.
| Identifer | oai:union.ndltd.org:USF/oai:scholarcommons.usf.edu:etd-5463 |
| Date | 01 January 2012 |
| Creators | Zhang, Mengshu |
| Publisher | Scholar Commons |
| Source Sets | University of South Flordia |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | Graduate School Theses and Dissertations |
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