Abstract
We treat a certain type of degenerate Garnier system such that all the solutions are meromorphic on ℂ2. This is regarded as a two-variable version of the first Painlevé equation. It is shown that, for every solution, each pole locus is expressible by an analytic function which satisfies a fourth-order nonlinear ordinary differential equation. We also give analytic expressions of solutions near their pole loci.
| Original language | English |
|---|---|
| Pages (from-to) | 193-203 |
| Number of pages | 11 |
| Journal | Nonlinearity |
| Volume | 14 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2001 Mar |
| Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
- Applied Mathematics