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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Supervisor

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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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Volume Title

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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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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

Citation

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http://hdl.handle.net/11693/21018

item.page.isversionof

http://dx.doi.org/10.1016/j.amc.2013.02.043

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Department of Mathematics