An, H.; Rogers, C.
(Symmetry, Integrability and Geometry: Methods and Applications, 2012)
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 ...