**The International Conference on
**

Secondary Calculus and Cohomological Physics,

Moscow, August 24 - August 31, 1997

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A direct procedure to compute zero-curvature representations

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Michal Marvan

Department of Mathematics, Silesian University at Opava Bezrucovo nam. 13, 746 01 Opava, Czech Republic E-mail: Michal.Marvan@fpf.slu.cz

**Abstract:** This paper is an introduction to a direct procedure to compute zero-curvature representations. Focus is on the simplest case of coefficients in sl$_2$.

**Keywords:** Zero-curvature representations, linear pseudopotentials, diffieties

**Classification (MSC91):** 35A30, 58F07; 35Q53

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