Abstract
Abstract We consider linear, non-dissipative magneto-acoustic-gravity waves in an isothermal atmosphere, under uniform gravity and magnetic fields, making an arbitrary angle, with the horizontal wavevector in the same plane. It is shown that the wave perturbations transverse to this plane satisfy a decoupled second-order Alfven wave equation, whereas the components in the plane satisfy a fourth-order wave equation coupling slow and fast modes. The latter is solved by the method of two characteristic polynomials which: 10 indicates whether a critical layer exists: (ii) determines three cut-off frequencies, viz. the gravity, acoustic and magnetic cut-offs; (iii) specifies exact solutions for the dynamic and magnetic components of the wave field, which can be computed for several combinations of the wave and atmospheric parameters.
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