On application of Liouville type equations to constructing Bäcklund transformations

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Abstract

It is shown how pseudoconstants of the Liouville-type equations can be exploited as a tool for construction of the Bäcklund transformations. Several new examples of such transformations are found. In particular we obtained the Bäcklund transformations for a pair of three-component analogs of the dispersive water wave system, and autoBäcklund transformations for coupled three-component KdV-type systems.
Original languageEnglish
Pages (from-to)147-156
Number of pages10
JournalJournal of Nonlinear Mathematical Physics
Volume14
Issue number1
DOIs
Publication statusPublished - 2007

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