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arXiv · 2606.25739

A novel 2+1-dimensional extended Dym equation: moving boundary problems solvable via Painlev\'e II symmetry reduction

Colin Rogers·Pablo Amster
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Abstract

A novel 2+1-dimensional extension of the solitonic Dym equation is shown to admit a Painlev\'e 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. 2026-06-24. A novel 2+1-dimensional extended Dym equation: moving boundary problems solvable via Painlev\'e II symmetry reduction. https://arxiv.org/abs/2606.25739

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