Bäcklund transformations for two new integrable partial differential equations
Area de Fisica Teórica, Facultad de Ciencias, Edificio de Fisica
Universidad de Salamanca - 37008 Salamanca, Spain
Accepted: 22 April 1999
We give two new completely integrable sixth-order partial differential equations, together with their Lax pairs and Darboux transformations. From these last we are able to derive the corresponding Bäcklund transformations. A simple reduction of these partial differential equations yields an integrable fourth-order ordinary differential equation for which a linear problem was previously unknown. We give also a linear problem for this ordinary differential equation.
PACS: 05.45.Yv – Solitons / 02.30.Jr – Partial differential equations / 02.30.Hq – Ordinary differential equations
© EDP Sciences, 1999