Simple and Double Alfven Waves: Hamiltonian Aspects

Physics

Scientific paper

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[2149] Interplanetary Physics / Mhd Waves And Turbulence, [2164] Interplanetary Physics / Solar Wind Plasma

Scientific paper

We discuss the nature of simple and double Alfvén waves. Simple waves depend on a single phase variable \varphi, but double waves depend on two independent phase variables \varphi1 and \varphi2. The phase variables depend on the space and time coordinates x and t. Simple and double Alfvén waves have the same integrals, namely, the entropy, density, magnetic pressure, and group velocity (the sum of the Alfvén and fluid velocities) are constant throughout the flow. We present examples of both simple and double Alfvén waves, and discuss Hamiltonian formulations of the waves.

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