Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applications
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866917030180945920 |
|---|---|
| author | Rogers, Colin Briozzo, Adriana C. |
| author_facet | Rogers, Colin Briozzo, Adriana C. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17421 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applications Rogers, Colin Briozzo, Adriana C. Analysis of PDEs 35R37, 80A22 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. |
| title | Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applications |
| topic | Analysis of PDEs 35R37, 80A22 |
| url | https://arxiv.org/abs/2508.17421 |