On application of Liouville type equations to constructing Bäcklund transformations

Details On application of Liouville type equations to constructing Bäcklund transformations On application of Liouville type equations to constructing Bäcklund transformations

2006-08-04

arxiv.org/abs/nlin/0608007v1

JNMP V.14, N. 1 (2007), 147-156

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages, no figures

Scientific paper

It is shown how pseudoconstants of the Liouville-type equations can be exploited as a tool for construction of the B\"acklund transformations. Several new examples of such transformations are found. In particular we obtained the B\"acklund transformations for a pair of three-component analogs of the dispersive water wave system, and auto-B\"acklund transformations for coupled three-component KdV-type systems.

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