Pole loci of solutions of a degenerate Garnier system

Shun Shimomura

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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 languageEnglish
Pages (from-to)193-203
Number of pages11
Issue number2
Publication statusPublished - 2001 Mar
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics


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