The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces
نویسنده
چکیده
The third, fifth and sixth Painlevé equations are studied by means of the weighted projective spaces CP (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 CP (p, q, r, s) and dynamical systems theory.
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