Graduation Year
2012
Document Type
Thesis
Degree
M.A.
Degree Granting Department
Mathematics and Statistics
Major Professor
Wen-Xiu Ma
Keywords
Enlarged systems, Infinitely many symmetries, Lax pairs, Recursion operator, Zero curvature representation
Abstract
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.
Scholar Commons Citation
Zhang, Mengshu, "Integrable Couplings of the Kaup-Newell Soliton Hierarchy" (2012). USF Tampa Graduate Theses and Dissertations.
https://digitalcommons.usf.edu/etd/4267
