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arXiv · 2605.26939

Hybrid Ermakov-Ray-Reid/Painlev\'e II Symmetry Reduction: Application to a Class of Moving Boundary Problems

Colin Rogers·Adriana C. Briozzo
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Abstract

Here, a class of nonlinear moving boundary problems for a novel extension of a two-component mKdV system is shown to admit exact solution via application of a hybrid Ermakov-Ray-Reid / Painlev\'e II symmetry ansatz.The mKdV system has its genesis in a reduction of a coupled nonlinear NLS system incorporating deBroglie - Bohm potential terms.

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Colin Rogers, Adriana C. Briozzo. 2026-05-26. Hybrid Ermakov-Ray-Reid/Painlev\'e II Symmetry Reduction: Application to a Class of Moving Boundary Problems. https://arxiv.org/abs/2605.26939

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