2 + 1维非等温磁气体动力学系统Hamiltonian-Ermakov可积约化
A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction
摘要：
当$γ=2$转化为具有可积Hamiltonian-Ermakov结构的非线性动力学子系统时，一个具有多方气体定律的2 + 1维不等熵磁气体动力学系统允许可积椭圆涡约化.从而得到描述旋转椭圆等离子体柱的磁气体动力学系统的精确解。椭圆形截面的半轴，值得注意的是，满足Ermakov-Ray-Reid系统。
英文摘要：
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.
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