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A novel extension of the canonical 2+1-dimensional Dym equation. Moving boundary problems solvable via Painleve' II Reduction

Year: 2026

Type: preprint

Abstract: An extension with temporal modulation is presented of the canonical 2 + 1-dimensional solitonic Dym equation as originally introduced by Konopelchenko and Dubrovsky. Application is made of admitted Painleve' II symmetry reduction to derive exact solution to a class of associated 2 + 1-dimensional nonlinear moving boundary problems of generalized Stefan-type.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.02927

Authors: Rogers, Colin, Carillo, Sandra

Institutions: UNSW Sydney, Istituto Nazionale di Fisica Nucleare, Istituto Nazionale di Fisica Nucleare, Sezione di Roma I, Sapienza University of Rome

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Regione Lazio, Nuclear Physics

OpenAlex ID: W7220407445

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