Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6422112 | Applied Mathematics and Computation | 2011 | 5 Pages |
Abstract
We consider the integrability properties of a generalized version of a similarity reduction of the so-called KdV6 equation, an equation that has recently generated much interest. We give a linear problem for this generalized reduction and show that it satisfies the requirements of the Ablowitz-Ramani-Segur algorithm. In addition we give a Bäcklund transformation to a related equation, giving also an auto-Bäcklund transformation for this last. Our results mirror those for the Korteweg-de Vries equation itself, which has a similarity reduction to an ordinary differential equation which is related by a Bäcklund transformation to the second Painlevé equation, this last having an auto-Bäcklund transformation.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
P.R. Gordoa, A. Pickering, J. Prada,