Parameterizations of the Chazy equation

Sarbarish Chakravarty, Mark J Ablowitz

The Chazy equation $y^{\prime \prime \prime }=2y{y}^{\prime \prime }-3y^{\prime 2}$ is derived from the automorphic properties of Schwarz triangle functions $S(\alpha ,\beta ,\gamma ;z)$. It is shown that solutions $y$ which are analyti…