Second-order second degree Painlevé equations related with Painlevé I, II, III equations

Date
1997
Authors
Sakka, A.
Muǧan, U.
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Source Title
Journal of Physics A: Mathematical and General
Print ISSN
0305-4470
Electronic ISSN
1361-6447
Publisher
Institute of Physics Publishing Ltd.
Volume
30
Issue
14
Pages
5159 - 5177
Language
English
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Abstract

The algorithmic method introduced by Fokas and Ablowitz to investigate the transformation properties of Painlevé equations is used to obtain a one-to-one correspondence between the Painlevé I, II and III equations and certain second-order second degree equations of Painlevé type.

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