Head-on collision of multi-solitons in a magnetized space dusty plasma in the presence of nonextensive polarization force

In this investigation, the head-on collision of dust-acoustic (DA) multi-solitons in a magnetized space dusty plasma consisting of negative dust, Maxwellian electrons and q-nonextensively distributed ions under the influence of polarization force is studied. The presence of the q-nonextensive ions yields eloquent alteration in the polarization force. An increase in the nonextensive parameter (via q) lead to escalate the polarization parameter. Two-sided KdV equations are obtained by adopting Poincaré–Lighthill–Kuo (PLK) method. Further, the direct Hirota method is employed to carry out multi-solitons solutions of KdV equations. The q-nonextensive polarization force has a great impact on the phase shifts after the interaction of single, double, and triple-(DA) solitons. The combined effects of various physical parameters such as polarization force parameter (via R), nonextensivity (via q) and magnetic field strength (via Ω) on the phase shifts of DA multi-solitons have also been illustrated. It is found that the magnetic field alters the polarization effect which leads to modify the phase shifts. The findings of our investigation may be helpful to explore the interaction of multi-solitons in a magnetized space dusty plasma such as planetary rings and comet tails where nonextensively distributed ions, negative dust and Maxwellian electrons are prevalent.