Note on algebro-geometric solutions to triangular Schlesinger systems
- 10.1080/14029251.2017.1375692How to use a DOI?
- Schlesinger systems; hyperelliptic curves; Painlevé equations
We construct algebro-geometric upper triangular solutions of rank two Schlesinger systems. Using these solutions we derive two families of solutions to the sixth Painlevé equation with parameters (1/8, ‒1/8, 1/8, 3=8) expressed in simple forms using periods of differentials on elliptic curves. Similarly for every integer n different from 0 and ‒1 we obtain one family of solutions to the sixth Painlevé equation with parameters .
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Cite this article
TY - JOUR AU - Vladimir Dragović AU - Vasilisa Shramchenko PY - 2021 DA - 2021/01/06 TI - Note on algebro-geometric solutions to triangular Schlesinger systems JO - Journal of Nonlinear Mathematical Physics SP - 571 EP - 583 VL - 24 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2017.1375692 DO - 10.1080/14029251.2017.1375692 ID - Dragović2021 ER -