Point classification of second order ODEs and its application to Painlevé equations
- https://doi.org/10.1080/14029251.2013.862438How to use a DOI?
- Invariant, Problem of equivalence, Point transformation, Painlevé equation
The first part of this work is a review of the point classification of second order ODEs done by Ruslan Sharipov. His works were published in 1997–1998 in the Electronic Archive at LANL. The second part is an application of this classification to Painlevé equations. In particular, it allows us to solve the equivalence problem for Painlevé equations in an algorithmic form.
- © 2013 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Vera V. Kartak PY - 2021 DA - 2021/01 TI - Point classification of second order ODEs and its application to Painlevé equations JO - Journal of Nonlinear Mathematical Physics SP - 110 EP - 129 VL - 20 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2013.862438 DO - https://doi.org/10.1080/14029251.2013.862438 ID - Kartak2021 ER -