Consistent composition of Bäcklund transformations produces confined maps (Q1863691)

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scientific article; zbMATH DE number 1880344
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Consistent composition of Bäcklund transformations produces confined maps
scientific article; zbMATH DE number 1880344

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    Consistent composition of Bäcklund transformations produces confined maps (English)
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    12 March 2003
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    The authors prove that difference equations arising from consistent compositions of Bäcklund transformations of the continuous Painlevé equations possess the singularity confinement property.
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    Bäcklund transformations
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    discrete equations
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    integrability
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    Painlevé analysis
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    singularity confinement
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    well-posedness
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