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On the Spectral Parameter Problem

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Abstract

We consider the problem whether a nonparametric zero-curvature representation can be embedded into a one-parameter family within the same Lie algebra. After introducing a computable cohomological obstruction, a method using the recursion operator to incorporate the parameter is discussed.

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  1. Mathematical Institute of the Silesian University in Opava, Na Rybníčku 1, 746 01, Opava, Czech Republic

    Michal Marvan

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Marvan, M. On the Spectral Parameter Problem. Acta Appl Math 109, 239–255 (2010). https://doi.org/10.1007/s10440-009-9450-4

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