| Autor: |
Hongli An, Colin Rogers |
| Jazyk: |
angličtina |
| Rok vydání: |
2012 |
| Předmět: |
|
| Zdroj: |
Symmetry, Integrability and Geometry: Methods and Applications, Vol 8, p 057 (2012) |
| Druh dokumentu: |
article |
| ISSN: |
1815-0659 |
| DOI: |
10.3842/SIGMA.2012.057 |
| Popis: |
A 2+1-dimensional anisentropic magnetogasdynamic system with a polytropic gas law is shown to admit an integrable elliptic vortex reduction when γ=2 to a nonlinear dynamical subsystem with underlying integrable Hamiltonian-Ermakov structure. Exact solutions of the magnetogasdynamic system are thereby obtained which describe a rotating elliptic plasma cylinder. The semi-axes of the elliptical cross-section, remarkably, satisfy a Ermakov-Ray-Reid system. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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