XXXV Workshop on Geometric Methods in Physics 26.06-2.07.2016

Wen-Xiu Ma

Soliton hierarchies and matrix loop algebras

We will talk about the zero curvature formulation for soliton hierarchies associated with matrix spectral problems. Liouville integrability will be shown by establishing Hamiltonian structures through either the trace identity or the variational identity over matrix loop algebras. Illustrative examples are generated from matrix spectral problems formulated using the two real three dimensional Lie algebras, sl(2,R) and so(3,R).

Event sponsored by:
National Science Foundation          Belgian Science Policy Office          University of Bialystok

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