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arXiv · 2207.11495

Boutroux ansatz for the degenerate third Painlev\'e transcendents

Shun Shimomura
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Abstract

For a general solution of the degenerate third Painlev\'e equation we show the Boutroux ansatz near the point at infinity. It admits an asymptotic representation in terms of the Weierstrass pe-function in cheese-like strips along generic directions. The expression is obtained by using isomonodromy deformation of a linear system governed by the degenerate third Painlev\'e equation.

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Shun Shimomura. 2022-07-23. Boutroux ansatz for the degenerate third Painlev\'e transcendents. https://arxiv.org/abs/2207.11495

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