Dust acoustic solitons in polarized space dusty plasma

The nonlinear structures in dusty plasmas in the framework of non-Maxwellian distribution have been potential area of study for the researchers. A number of investigations are witness of different physical aspects that incur their presence due to dust in various space/astrophysical environments. The presence of dust in electron-ion plasmas leads to the formation of variety of wave modes such as dust acoustic waves (DAWs) and dust ion acoustic waves (DIAWs).  Due to deformation of Debye sheath around the dust particles, the polarization force comes into play and have great influence on the characteristics of nonlinear dust acoustic modes. We have derived the expression polarization force for generalized (r, q) distributed ions and studied the higher order corrections to dust acoustic (DA) solitons and energy of solitons under the influence of polarization force in a dusty plasma composed of negatively charged dust fluid, Maxwellian electrons and generalized (r, q) distributed ions. Our work is basically inspired from the difference in theoretical and experimental results and also due to role of generalized (r, q) distribution that provides a better way to explicate in various space and astrophysical regions. By imposing reductive perturbation method, the KdV and higher order KdV equations are derived and using renormalization method their solutions are derived. The contribution of higher order corrections and (r, q) distributed ions may play an important role on the energy carried by the DA solitons in the presence of polarization force. Further, the influence of various physical parameters of given plasma have also been explored. It is important to announce here that the outcomes of present investigation may shed light in understanding the nonlinear phenomena in planetary spokes and cometary tails.

 

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