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PreprintarXiv licencearXiv

A 2+1-dimensional extended Dym equation: moving boundary problems solvable via Painlevé II symmetry reduction

Abstract

A 2+1-dimensional extension of the solitonic Dym equation is shown to admit a Painlevé II symmetry reduction which permits the exact solution of a class of Stefan-type moving boundary problems.

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BibTeX
@misc{rogers202621dimensional,
  title = {{A 2+1-dimensional extended Dym equation: moving boundary problems solvable via Painlevé II symmetry reduction}},
  author = {Colin Rogers and Pablo Amster},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2606.25739},
  eprint = {2606.25739},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.25739},
}
RIS
TY  - UNPB
TI  - A 2+1-dimensional extended Dym equation: moving boundary problems solvable via Painlevé II symmetry reduction
AU  - Colin Rogers
AU  - Pablo Amster
PY  - 2026
DA  - 2026/09/18
PB  - arXiv
DO  - 10.48550/arxiv.2606.25739
UR  - https://arxiv.org/abs/2606.25739
AB  - A 2+1-dimensional extension of the solitonic Dym equation is shown to admit a Painlevé II symmetry reduction which permits the exact solution of a class of Stefan-type moving boundary problems.
ER  -