3 citations · 6 across the 6 of their papers we have counts for
6 papers
Special Solutions of the Sixth Painleve Equation with Solvable Monodromy
Kazuo Kaneko, Shoji Okumura
We will study two types of special solutions of the sixth Painleve equation, which are invariant under the symmetries obtained from the Backlund transformations. In most cases, the…
Complete coalescent diagram of the Painleve equations
Yousuke Ohyama, Shoji Okumura
We will revise Garnier-Okamoto's coalescent diagram of isomonodromic deformations and give a complete coalescent diagram. In our viewpoint, we have ten types of isomonodromic defor…
R. Fuchs' problem of the Painleve equations from the first to the fifth
Yousuke Ohyama, Shoji Okumura
We will classify all rational transformations which change the confluent hypergeometric equations to linear equations of the Painleve type from the first to the fifth. We show such…
Darboux-Halphen-Brioshi system with rank four
Y. Ohyama, S. Okumura
We will determine the condition that a homogeneous quadratic equation with rank four becomes the Darboux-Halphen-Brioshi system in terms of the associated non-associative algebra.
The Indefinite Self-Dual Metrics and Painleve Equations
Shoji Okumura
We classify the SU(2)-invariant anti-self-dual metrics with a signature (+,+,-,-). The metrics are specified by a solution of Painleve VI, V, III or II. Moreover we show the geomet…
The Scalar-flat Kaehler Metric and Painleve III
Shoji Okumura
We study the anti-self-dual equation for non-diagonal SU(2)-invariant metrics and give an equivalent ninth-order system. This system reduce to a sixth-order system if the metric is…