A Non-Isothermal Spinning Magneto-gasdynamic Cloud System A Hamiltonian-Ermakov Integrable Reduction


A 2+1-dimensional magneto-gasdynamic version of a gas cloud system originating in work of Ovsiannikov and Dyson is shown, when adiabatic index \gamma = 2, to admit an integrable reduction to a subsystem with underlying Hamiltonian-Ermakov structure. A class of exact solutions of the original nonlinear magneto-gasdynamic system is thereby constructed.

DOI Code: 10.1285/i15900932v32n1p175

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