Bulg. J. Phys. vol.36 no.4 (2009), pp. 294-299



Dispersion Relation for MHD Waves - Reinvestigated

S. Chandra, G.M. Dak, M. Sharma
School of Physics, Shri Mata Vaishno Devi University, Katra 182 320 (J&K), India
Abstract. Kumar et al. [1] derived a fifth degree polynomial for the dispersion relation in ω and pointed out that the calculations of Porter et al. [2] and of Dwivedi & Pandey [3] seemed to be in error, as they obtained a sixth degree polynomial. Dwivedi & Pandey [4] not only protected their sixth degree polynomial, but attacked the fifth degree polynomial. Both groups have used the same set of basic equations. In another paper, Pandey & Dwivedi [5] have again tried to show that the dispersion relation must be a sixth degree polynomial. In the present communication, we have derived a seventh degree polynomial for the dispersion relation, using the same set of basic equations. Further, we have shown that the results for the fast and slow modes of magnetohydrostatic waves are independent of the degree of polynomial for the dispersion relation and the fifth degree polynomial is sufficient.

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