Effect of external oblique magnetic field on the nonextensive dust acoustic soliton energy

Abstract

A theoretical study has been carried out of obliquely propagating dust acoustic solitary waves in a magnetized multi-component dusty plasma which consists of fluid dust grains, nonextensive ions, and Maxwellian electrons. Our plasma model is inspired from the experimental study of Bandyopadhyay et al. (Phys Rev Lett 101:065006, 2008). The reductive perturbation method has been used to establish the Korteweg–de Vries (K–dV) equation which admits a nonlinear solitary wave solution for small but finite amplitude limit. Our results reveal that the main quantities of DA solitons are drastically affected by the nonextensivity, obliqueness, and static magnetic field effects. In particular, it may be noted that an addition of a degree of ion nonextensivity leads to an increase in the amplitude and width of DA soliton. This effect becomes more important when the DA soliton propagates more obliquely. The role the nonextensivity, obliqueness, and magnetic intensity can play in the energy engendered by the DA soliton is also analyzed. Interestingly, it is shown that the presence of the strong magnetic field causes a dissipation of the energy carried by the DA soliton. This dissipation becomes less important as the ions correlation becomes stronger. For a good understanding, the theoretical results of our model are compared to their experimental counterparts.