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Integrable Couplings of the Kaup-Newell Soliton Hierarchy

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.

Identiferoai:union.ndltd.org:USF/oai:scholarcommons.usf.edu:etd-5463
Date01 January 2012
CreatorsZhang, Mengshu
PublisherScholar Commons
Source SetsUniversity of South Flordia
Detected LanguageEnglish
Typetext
Formatapplication/pdf
SourceGraduate School Theses and Dissertations

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