Propagation of MHD Waves in Homogeneous Plasma

ABSTRACT

Kumar et al. [1] pointed out that calculations of Porter et al. [2] and of Dwivedi and Pandey [3] seem to be in error, as they obtained a sixth degree polynomial in ω for dispersion relation. Kumar et al. [1] advocated that the dispersion relation should be a fifth degree polynomial in ω and they also obtained the same. Dwivedi and Pandey [4] however tried to protect their sixth degree polynomial. Chandra and Kumthekar [5] attempted to short out about the degree of polynomial, but Pandey and Dwivedi [6] raised question on their work. In their recent paper, Pandey and Dwivedi [7] did not even mention about their earlier publications and the publications of others and again tried to show that the dispersion relation is a sixth degree polynomial. As a dispersion relation, in general, plays key role in an investigation, in the present communication, we have made an attempt to short out this controversy. Method of linearization of equations has been used for deriving the dispersion relations. We have shown: (i) how the sixth degree polynomial is created and (ii) that both the dispersion relations have five common roots.