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The Painleve property transformed
- 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.
- Subjects :
- Infinite set
Property (philosophy)
Partial differential equation
Integrable system
media_common.quotation_subject
General Physics and Astronomy
Statistical and Nonlinear Physics
Infinity
Image (mathematics)
Nonlinear Sciences::Exactly Solvable and Integrable Systems
Transformation (function)
Evolution equation
Mathematical Physics
Mathematical physics
media_common
Mathematics
Subjects
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