Rational Solutions of the Painleve' VI Equation
classification
🌊 nlin.SI
math.CA
keywords
equationpainlevrationalsolutionsalphabetabirationalcanonical
read the original abstract
In this paper, we classify all values of the parameters $\alpha$, $\beta$, $\gamma$ and $\delta$ of the Painlev\'e VI equation such that there are rational solutions. We give a formula for them up to the birational canonical transformations and the symmetries of the Painlev\'e VI equation.
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