Affiliation:
1. Department of Mathematical Physics and Computer Modelling, Faculty of Physics A. Mickiewicz University Poznan Poland
Abstract
AbstractFirst, starting from two hierarchies of autonomous Stäckel ordinary differential equations (ODEs), we reconstruct the hierarchy of Korteweg de Vries (KdV) stationary systems. Next, we deform considered autonomous Stäckel systems to nonautonomous Painlevé hierarchies of ODEs. Finally, we reconstruct the related nonautonomous KdV stationary hierarchies from respective Painlevé systems.