Dust Acoustic Solitary Waves in Saturn F-ring's Region

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Communications in Theoretical Physics ›› 2011, Vol. 55 ›› Issue (01) : 143-150.

E.K. El-Shewy,¹ M.I. Abo el Maaty,² H.G. Abdelwahed,¹ and M.A. Elmessary²

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Abstract

Effect of hot and cold dust charge on the
propagation of dust-acoustic waves
(DAWs) in unmagnetized plasma having electrons, singly charged ions, hot and
cold dust grains has been investigated. The reductive perturbation method
is employed to reduce the basic set of fluid equations to the Kortewege-de
Vries (KdV) equation. At the critical hot dusty plasma density N_h0, the
KdV equation is not appropriate for describing the system. Hence, a set of
stretched coordinates is considered to derive the modified KdV equation. It
is found that the presence of hot and cold dust charge grains not only
significantly modifies the basic properties of solitary structure, but also
changes the polarity of the solitary profiles. In the vicinity of the critical hot dusty plasma density N_h0, neither KdV nor mKdV equation is appropriate for describing the DAWs. Therefore, a further modified KdV (fmKdV) equation is derived, which admits both soliton and double layer solutions.

Key words

dust-acoustic waves / hot and cold dust charge

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E.K. El-Shewy, M.I. Abo el Maaty, H.G. Abdelwahed, and M.A. Elmessary. Dust Acoustic Solitary Waves in Saturn F-ring's Region[J]. Communications in Theoretical Physics, 2011, 55(01): 143-150