Hamiltonian Formulations and Symmetry Constraints of Soliton Hierarchies of (1+1)-Dimensional Nonlinear Evolution Equations

We derive two hierarchies of 1+1 dimensional soliton-type integrable systems from two spectral problems associated with the Lie algebra of the special orthogonal Lie group SO(3,R). By using the trace identity, we formulate Hamiltonian structures for the resulting equations. Further, we show that eac...

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Bibliographic Details
Main Author: Manukure, Solomon
Format: Others
Published: Scholar Commons 2016
Subjects:
Online Access:http://scholarcommons.usf.edu/etd/6310
http://scholarcommons.usf.edu/cgi/viewcontent.cgi?article=7506&context=etd