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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Format: | Others |
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Scholar Commons
2016
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Online Access: | http://scholarcommons.usf.edu/etd/6310 http://scholarcommons.usf.edu/cgi/viewcontent.cgi?article=7506&context=etd |