Contribution of higher order corrections to the dust acoustic soliton energy in non-Maxwellian dusty plasma
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The contribution of higher order corrections to the DA soliton energy in the presence of nonthermal ions is investigated. Our plasma model is inspired from the experimental study of Bandyopadhyay et al. [P. Bandypadhyay, G. Prasad, A. Sen, P.K. Kaw, Phys. Rev. Lett. 101, 065006 (2008)]. Using the approach based on the expansion of Sagdeev potential up to the fourth-order, a second order inhomogeneous differential equation termed dressed soliton is obtained. The latter is divided into two contributions, the usual K-dV solution and the higher order correction structure. Our results reveal that the main quantities of these localized structures are significantly modified by the nonthermality effects. In particular, an increase of ion’s nonthermal character leads to an increase of the amplitude and width of all the structures. The role the higher order corrections and nonthermal ions may play on the energy carried by the DA soliton is then examined. For a given value of nonthermal parameter α, it is shown that due to the higher order correction contribution, the departure between the K-dV soliton energy and the dressed one becomes more important as soliton velocity λ increases. For the sake of comparison, the presented model is reduced to a Maxwellian plasma and the results are compared to their experimental counterparts.
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