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The Painleve Ping-Pong P IV |
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| Authors: | Andrzej Drzewiński Ziemowit Popowicz |
| Affiliation: | Institute of Low Temperature and Structure Research, Polish Academy of Sciences, P.O. Box 937, 50-950 Wroc?aw 2, Poland;Institute of Theoretical Physics, University of Wroc?aw, ul. Cybulskiego 36, 50-205 Wroc?aw, Poland |
| Abstract: | We construct a transformation which generates new solutions for a one-parameter family of the fourth Painlevé equations. We obtain solutions with the same parameter values as in the given equation. Also we obtain new relations between two Painlevé transcendents of the fourth kind with different free parameters. |
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