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The Painleve property transformed

Authors :
S Y Sakovich
Source :
Journal of Physics A: Mathematical and General. 25:L833-L836
Publication Year :
1992
Publisher :
IOP Publishing, 1992.

Abstract

Noteworthy analytic properties of the Dym-Kruskal equation, such as the weak Painleve property and the Pogrebkov property (a second-order pole at infinity), are proven to be exactly the image of the usual Painleve property under the Ibragimov transformation. The transformed Painleve analysis is carried out for two infinite sets of evolution equations similar to the Dym-Kruskal equation. Only four of the equations pass the test, being known and integrable.

Details

ISSN :
13616447 and 03054470
Volume :
25
Database :
OpenAIRE
Journal :
Journal of Physics A: Mathematical and General
Accession number :
edsair.doi...........fbb727e787a9d92cb65371fd339bb303
Full Text :
https://doi.org/10.1088/0305-4470/25/13/011