On matrix Painlevé-4 equations. Part 1: Painlevé--Kovalevskaya test
Abstract
Using the Painlevé--Kovalevskaya test, we find several new matrix generalizations of the Painlevé-4 equation. Some limiting transitions reduce them to known matrix Painlevé-2 equations.
- Publication:
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arXiv e-prints
- Pub Date:
- July 2021
- DOI:
- arXiv:
- arXiv:2107.11680
- Bibcode:
- 2021arXiv210711680B
- Keywords:
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- Mathematics - Classical Analysis and ODEs;
- Mathematical Physics
- E-Print:
- doi:10.1088/1361-6544/ac9bc2