Abstract
Weakly nonlinear magnetoacoustic waves in thin magnetic flux tubes are investigated in rarefied plasmas when an anisotropic kinetic pressure is taken into account. The parallel and perpendicular pressures are defined by two polytropic pressure laws. This model can be considered as a natural extension of the magnetohydrodynamics approximation when the plasma is rarefied. The dispersion relation for slow surface sausage waves propagating in magnetically embedded flux tubes in the presence of pressure anisotropy is used to derive the extended Leibovich–Roberts equation in rarefied and anisotropic plasmas. The properties and limitations of this equation are discussed.
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