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

Year: 2025

Type: article

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. 11 pages

Source: Open Communications in Nonlinear Mathematical Physics

DOI: 10.46298/ocnmp.16483

Authors: Colin Rogers, Adriana C. Briozzo

Institutions: UNSW Sydney, Consejo Nacional de Investigaciones Científicas y Técnicas, Centro Científico Tecnólogico - Rosario

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Consejo Nacional de Investigaciones Científicas y Técnicas

OpenAlex ID: W4415115994

FWCI: 0.443

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Cited by: 1

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