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arXiv · 2508.17421

Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applications

Colin Rogers·Adriana C. Briozzo
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Abstract

Moving boundary problems of Stefan-type for a novel third order nonlinear evolution equation with temporal modulation are here shown to be amenable to exact Airy-type solution via a classical Ermakov equation with its admitted nonlinear superposition principle. Application of the latter together with a class of involutory transformations sets the original moving boundary problem in a wide class with temporal modulation. As an appendix, reciprocally associated exactly solvable moving boundary problems are derived.

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Colin Rogers, Adriana C. Briozzo. 2025-08-24. Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applications. https://doi.org/10.46298/ocnmp.16483

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