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On application of Liouville type equations to constructing Bäcklund transformations

Dmitry K. Demskoi
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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 auto-Bäcklund transformations for coupled three-component KdV-type systems.

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Dmitry K. Demskoi. 2006-08-04. On application of Liouville type equations to constructing Bäcklund transformations. https://doi.org/10.2991/jnmp.2007.14.1.11

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