Bäcklund transformations of MKdV and Painlevé equations

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Abstract

For N ≥ 3 there are SN and DN actions on the space of solutions of the first nontrivial equation in the SL(N) MKdV hierarchy, generalizing the two Z2 actions on the space of solutions of the standard MKdV equation. These actions survive scaling reduction, and give rise to transformation groups for certain (systems of) ODEs, including the second, fourth and fifth Painleve equations.

Original languageEnglish
Pages (from-to)305-312
Number of pages8
JournalNonlinearity
Volume7
Issue number1
DOIs
StatePublished - Jan 1994

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