Generalized D-Kaup-Newell integrable systems and their integrable couplings and Darboux transformations

We present a new spectral problem, a generalization of the D-Kaup-Newell spectral problem, associated with the Lie algebra sl(2,R). Zero curvature equations furnish the soliton hierarchy. The trace identity produces the Hamiltonian structure for the hierarchy. Lastly, a reduction of the spec...

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Bibliographic Details
Main Author: McAnally, Morgan Ashley
Format: Others
Published: Scholar Commons 2017
Subjects:
Online Access:https://scholarcommons.usf.edu/etd/7423
https://scholarcommons.usf.edu/cgi/viewcontent.cgi?article=8620&context=etd