A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction
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 thereb...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2012-08-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.3842/SIGMA.2012.057 |
| _version_ | 1818252746186293248 |
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| author | Hongli An Colin Rogers |
| author_facet | Hongli An Colin Rogers |
| author_sort | Hongli An |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-12T16:29:04Z |
| format | Article |
| id | doaj.art-3aeabfa3e42a4a8fbc6bc27f729c6712 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-12-12T16:29:04Z |
| publishDate | 2012-08-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-3aeabfa3e42a4a8fbc6bc27f729c67122022-12-22T00:18:49ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592012-08-018057A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable ReductionHongli AnColin RogersA 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.http://dx.doi.org/10.3842/SIGMA.2012.057magnetogasdynamic systemelliptic vortexHamiltonian-Ermakov structureLax pair |
| spellingShingle | Hongli An Colin Rogers A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction Symmetry, Integrability and Geometry: Methods and Applications magnetogasdynamic system elliptic vortex Hamiltonian-Ermakov structure Lax pair |
| title | A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction |
| title_full | A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction |
| title_fullStr | A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction |
| title_full_unstemmed | A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction |
| title_short | A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction |
| title_sort | 2 1 dimensional non isothermal magnetogasdynamic system hamiltonian ermakov integrable reduction |
| topic | magnetogasdynamic system elliptic vortex Hamiltonian-Ermakov structure Lax pair |
| url | http://dx.doi.org/10.3842/SIGMA.2012.057 |
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