A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction
Mathematical Physics
2012-08-24 v1 math.MP
Exactly Solvable and Integrable Systems
Plasma Physics
Abstract
A 2+1-dimensional anisentropic magnetogasdynamic system with a polytropic gas law is shown to admit an integrable elliptic vortex reduction when 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.
Keywords
Cite
@article{arxiv.1208.4666,
title = {A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction},
author = {Hongli An and Colin Rogers},
journal= {arXiv preprint arXiv:1208.4666},
year = {2012}
}