Acta Applicandae Mathematica

, Volume 54, Issue 1, pp 1–25 | Cite as

Some Local Properties of Bäcklund Transformations

  • M. Marvan


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.

diffiety Bäcklund transformation permutability nonlinear superposition 


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© Kluwer Academic Publishers 2004

Authors and Affiliations

  • M. Marvan
    • 1
  1. 1.Department of MathematicsSilesian University at OpavaOpavaCzech Republic

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