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 $\gamma=2$ 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. 
Hongli An, Colin Rogers
math-ph math.MP nlin.SI physics.plasm-ph