Reducibility of zero curvature representations with application to recursion operators

Details Reducibility of zero curvature representations with application to recursion operators Reducibility of zero curvature representations with application to recursion operators

2003-06-04

arxiv.org/abs/nlin/0306006v1

Acta Appl. Math. 83 (2004) 39-68

Nonlinear Sciences

Exactly Solvable and Integrable Systems

26 pages, uses nath.sty

Scientific paper

We present a criterion of reducibility of a zero curvature representation to
a solvable subalgebra, hence to a chain of conservation laws. Namely, we show
that reducibility is equivalent to the existence of a section of the
generalized Riccati covering. Results are applied to conversion between
Guthrie's and Olver's form of recursion operators.

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