English

Point classification of the second order ODE's by Ruslan Sharipov and its application to Painleve equations

Classical Analysis and ODEs 2013-07-11 v2 Differential Geometry Exactly Solvable and Integrable Systems

Abstract

This is an review on the point classification of second order ODE's by Ruslan Sharipov. His works were published in 1997-1998 at the Electronic Archive at LANL and undeservedly forgotten. Last chapter is an application of this classification to the investigation of Painleve equations.

Keywords

Cite

@article{arxiv.1204.0174,
  title  = {Point classification of the second order ODE's by Ruslan Sharipov and its application to Painleve equations},
  author = {Vera V. Kartak},
  journal= {arXiv preprint arXiv:1204.0174},
  year   = {2013}
}

Comments

20 pages, 1 figure