= Pseudo-Alfvén wave
{title2=$\omega^2=(\mathbf k\cdot\mathbf v_a)^2$}
The high-<pressure> limit of the <slow magnetosonic wave> approaches an incompressible polarization in the plane of the background <magnetic field> and <wavevector>, perpendicular to the latter. It has the displayed leading <dispersion relation>, the same as the out-of-plane <Alfvén wave>. <Magnetic tension> is the restoring force, and <pressure> balances the compressive component of the magnetic force. In exactly incompressible homogeneous <ideal magnetohydrodynamics> it is one of the two transverse magnetic polarizations.
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