Article ID Journal Published Year Pages File Type
4630394 Applied Mathematics and Computation 2011 8 Pages PDF
Abstract

We give a new derivation of two Painlevé hierarchies. This is done by extending the accelerating-wave reductions of the Korteweg–de Vries and dispersive water wave equations to their respective hierarchies. We also consider the extension of this reduction of Burgers equation to the Burgers hierarchy.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
, ,