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Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations W. Vogel & M. Büttner GmbH In Kapitel 4 soll dasTo our wives, Masha and Marian Interest in the so called completely integrable systems with infinite num ber of degrees of freedom was aroused immediately after publication of the famous series of papers by Gardner, Greene, Kruskal, Miura, and Zabusky [75, 77, 96, 18, 66, 19J (see also [76]) on striking properties of the Korteweg de Vries (KdV) equation. It soon became clear that systems of such a kind possess a number of characteristic properties,