Generalized scaling reductions and Painlevé hierarchies

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Generalized scaling reductions and Painlevé hierarchies.pdf (223.19 KB)

Date

2013

Authors

Gordoa, P. R.
Muğan, U.
Pickering, A.

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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.

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Applied Mathematics and Computation

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Elsevier

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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

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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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Scholarly Publications - Mathematics

Language

English

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Article