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Propagation of hydromagnetic waves in a nonviscous, perfectly conducting, incompressible fluid is studied in a linear approximation, under the assumption of an unperturbed magnetic field Ho = Ho (x)n where n is a constant unit vector. It is shown that there are two possible types of waves: (i) The generalized Alfven waves, propagating along the lines of force with a velocity u = Ho /(4)1/2 and differing from ordinary Alfven waves in that they may have a non-zero longitudinal velocity component; (ii) Waves analogous to the gravity waves which can, in general, propagate across the lines of force. In particular, it is shown that if u = const. + a x, those waves travel in a direction perpendicular to n and to the x-axis with a group velocity 1/4 / and a phase velocity 1/2 / . (Author).
Here is a fascinating text that integrates topics pertaining to all scales of the MHD-waves, emphasizing the linkages between the ULF-waves below the ionosphere on the ground and magnetospheric MHD-waves. It will be most helpful to graduate and post-graduate students, familiar with advanced calculus, who study the science of MHD-waves in the magnetosphere and ionosphere. The book deals with Ultra-Low-Frequency (ULF)-electromagnetic waves observed on the Earth and in Space.
Solar-terrestrial physics deals with phenomena in the region of space between the surface of the Sun and the upper atmosphere of the Earth, a region dominated by matter in a plasma state. This area of physics describes processes that generate the solar wind, the physics of geospace and the Earth's magnetosphere, and the interaction of magnetospheri