Interaction of ion acoustic multi-solitons in a magnetised superthermal plasma in the presence of dust

Abstract

In this investigation, a magnetised plasma consisting of inertial ions fluid, charged immobile dust grains in the background and superthermally distributed electrons is considered to study head-on collision between dust ion acoustic multi-solitons. The extended Poincaré–Lighthill–Kuo (PLK) method is employed for the derivation of two KdV equations. Further, in order to determine the multi-solitons solutions of the two KdV equations, the Hirota bilinear method is used. The phase shifts due to head-on collision of multi-solitons have also been determined. The combined influence of superthermality of electrons, density ratio, magnetic field strength etc. on the characteristics of dust ion acoustic solitons, time evolution and the corresponding phase shifts of multi-solitons has been studied numerically. The findings of this investigation might be of great importance to elucidate and provide a comprehensive framework for the understanding of various nonlinear structures in space and astrophysical environments especially in Saturn’s magnetosphere.