A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік
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dc.contributor.author	An, H.
dc.contributor.author	Rogers, C.
dc.date.accessioned	2019-02-18T12:44:36Z
dc.date.available	2019-02-18T12:44:36Z
dc.date.issued	2012
dc.identifier.citation	A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction / H. An, C. Rogers // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 22 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 34A34; 35A25
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2012.057
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148449
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue “Geometrical Methods in Mathematical Physics”. The full collection is available at http://www.emis.de/journals/SIGMA/GMMP2012.html.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA