Solution of the equivalence problem for the third Painleve equation
- We find necessary conditions for a second order ordinary differential equation to be equivalent to the Painleve III equation under a general point transformation. Their sufficiency is established by reduction to known results for the equations of the form y ' = f (x, y). We consider separately the generic case and the case of reducibility to an autonomous equation. The results are illustrated by the primary resonance equation.
| Author details: | Yulia Yu. Bagderina, Nikolai Nikolaevich TarkhanovORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1063/1.4905383 |
| ISSN: | 0022-2488 |
| ISSN: | 1089-7658 |
| Title of parent work (English): | Journal of mathematical physics |
| Publisher: | American Institute of Physics |
| Place of publishing: | Melville |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2015 |
| Publication year: | 2015 |
| Release date: | 2017/03/27 |
| Volume: | 56 |
| Issue: | 1 |
| Number of pages: | 15 |
| Funding institution: | German Research Society (DFG) [TA 289/4-2] |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
