Normal and seminormal forms of sl(3)-valued zero curvature representations

Details Normal and seminormal forms of sl(3)-valued zero curvature representations Normal and seminormal forms of sl(3)-valued zero curvature representations

2004-04-19

arxiv.org/abs/nlin/0404036v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

14 pages

Scientific paper

We find normal and seminormal forms for a sl(3)-valued zero curvature representation (ZCR). We prove a theorem about reducibility of ZCR's, which says that if one of the matrix in a ZCR (A,B) falls to a proper subalgebra of sl(3), then the second matrix either falls to the same subalgebra or the ZCR is almost trivial. In the end of this paper we show examples of ZCR's and their normal forms.

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