# The Direct Monodromy Problem of Painleve-I

@article{Masoero2010TheDM, title={The Direct Monodromy Problem of Painleve-I}, author={Davide Masoero}, journal={arXiv: Classical Analysis and ODEs}, year={2010} }

The Painleve first equation can be represented as the equation of isomonodromic deformation of a Schrodinger equation with a cubic potential. We introduce a new algorithm for computing the direct monodromy problem for this Schrodinger equation. The algorithm is based on the geometric theory of Schrodinger equation due to Nevanlinna

## One Citation

### Numerical Solution of Riemann–Hilbert Problems: Painlevé II

- MathematicsFound. Comput. Math.
- 2011

A new, spectrally accurate method for solving matrix-valued Riemann–Hilbert problems numerically is described and can be used to relate initial conditions with asymptotic behavior.

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