Generalized scaling reductions and Painlevé hierarchies

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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
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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
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