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arXiv · 2606.25739

A 2+1-dimensional extended Dym equation: moving boundary problems solvable via Painlevé II symmetry reduction

Colin Rogers·Pablo Amster
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Abstract

A 2+1-dimensional extension of the solitonic Dym equation is shown to admit a Painlevé II symmetry reduction which permits the exact solution of a class of Stefan-type moving boundary problems.

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Colin Rogers, Pablo Amster. 2026-09-18. A 2+1-dimensional extended Dym equation: moving boundary problems solvable via Painlevé II symmetry reduction. https://arxiv.org/abs/2606.25739

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