The third, fifth and sixth painlevé equations on weighted projective spaces

Hayato Chiba

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The third, fifth and sixth Painlevé equations are studied by means of the weighted projective spaces CP3(p, q, r, s) with suitable weights (p, q, r, s) determined by the Newton polyhedrons of the equations. Singular normal forms of the equations, symplectic atlases of the spaces of initial conditions, Riccati solutions and Boutroux's coordinates are systematically studied in a unified way with the aid of the orbifold structure of CP3(p, q, r, s) and dynamical systems theory.

Original languageEnglish
Article number019
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume12
DOIs
Publication statusPublished - Feb 23 2016

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Weighted Spaces
Projective Space
Newton Polyhedron
Atlas
Orbifold
Systems Theory
Normal Form
Initial conditions
Dynamical system

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematical Physics
  • Geometry and Topology

Cite this

The third, fifth and sixth painlevé equations on weighted projective spaces. / Chiba, Hayato.

In: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), Vol. 12, 019, 23.02.2016.

Research output: Contribution to journalArticle

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