Abelian versus non-abelian baecklund charts:some remarks
Connections via B ̈acklund transformations among different non- linear evolution equations are investigated aiming to compare corresponding Abelian and non Abelian results. Specifically, links, via B ̈acklund transfor- mations, connecting Burgers and KdV-type hierarchies of nonlinear evolution equations are studied. Crucial differences as well as notable similarities be- tween Ba ̈cklund charts in the case of the Burgers - heat equation, on one side and KdV -type equations are considered.