Generalized scaling reductions and Painlevé hierarchies

Thumbnail
Author
Gordoa, P. R.
Muğan, U.
Pickering, A.
Date
2013
Source Title
Applied Mathematics and Computation
Print ISSN
0096-3003
Electronic ISSN
1873-5649
Publisher
Elsevier
Volume
219
Issue
15
Pages
8104 - 8111
Language
English
Type
Article
Item Usage Stats
62
views
43
downloads
Metadata
Show full item record
Abstract
We give an alternative derivation of two Painlevé hierarchies. This is done by constructing generalized scaling reductions of the Korteweg-de Vries and dispersive water wave hierarchies. We also construct a generalized scaling reduction of Burgers hierarchy. © 2013 Elsevier Inc. All rights reserved.
Keywords
Burgers hierarchy
Dispersive water wave hierarchy
Korteweg-de Vries hierarchy
Painlevé hierarchies
Scaling reductions
Burgers hierarchy
Korteweg-de Vries
Painleve
Wave hierarchies
Computational methods
Mathematical techniques
Water waves
Permalink
http://hdl.handle.net/11693/21018
Published Version (Please cite this version)
http://dx.doi.org/10.1016/j.amc.2013.02.043
Collections