Volume 14, Issue 1, February 2007, Pages 147 - 156
On application of Liouville type equations to constructing Bäcklund transformations
Received 9 August 2006, Accepted 20 September 2006, Available Online 1 February 2007.
- https://doi.org/10.2991/jnmp.2007.14.1.11How to use a DOI?
- 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.
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Cite this article
TY - JOUR AU - Dmitry Demskoi PY - 2007 DA - 2007/02 TI - On application of Liouville type equations to constructing Bäcklund transformations JO - Journal of Nonlinear Mathematical Physics SP - 147 EP - 156 VL - 14 IS - 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2007.14.1.11 DO - https://doi.org/10.2991/jnmp.2007.14.1.11 ID - Demskoi2007 ER -