Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630394 | Applied Mathematics and Computation | 2011 | 8 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
P.R. Gordoa, A. Pickering,