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Some Local Properties of Bäcklund Transformations

Acta Applicandae Mathematica volume 54, pages 1–25 (1998)Cite this article

Abstract

For Bäcklund transformations, treated as relations in the categoryof diffieties, local conditions of effectivity and normality are introduced,having implications for the solution generating properties. We check themfor the pKdV, the sine-Gordon, and the Tzitzéica equation.

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  1. Department of Mathematics, Silesian University at Opava, Bezručovo nám. 13, 746 01, Opava, Czech Republic

    M. Marvan

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Marvan, M. Some Local Properties of Bäcklund Transformations. Acta Applicandae Mathematicae 54, 1–25 (1998). https://doi.org/10.1023/A:1006037726082

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