ON THE PHASE SHIFTS OF THE (UN)MODULATED DUST KINETIC ALFVEN SOLITONS COLLISIONS IN A THERMAL DISTRIBUTED NORMAL PLASMA

The collisions between two unmodulated (waves that propagate at a phase velocity) and modulated (waves that propagate at a group velocity) dust kinetic Alfven solitons (DKASs) have been analyzed in a low-beta dusty plasma consisting of inertial negatively dust charged grain in addition to Boltzmann-Maxwellian distributed electrons and ions. In this work we study two important types of solitons collision. The first one is the unmodulated solitons collision. For studying the collisions between the unmodulated solitons, the extended Poincare-Lighthill-Kuo (PLK) technique has been adopted to derive the two Korteweg-de Vries (KdV) equations for the right and left moving solitons and their phase shifts. The analysis showed that for small amplitudes, i.e., weakly nonlinearity and quasi-elastic collisions, the colliding solitons amplitude at the colliding point nearly equals to the sum of individual amplitudes. Moreover, the impact of the related physical parameters on the phase shifts is examined. In the second part of this paper, the KdV equation is converted to the nonlinear Schrodinger equation (NLSE) for investigating the modulated dark solitons. Then for studying the dark soliton collisions, the PLK technique is introduced. Furthermore, the impact of relevant plasma parameters on the dark soliton phase shift is reported. This work may apply to understand the creation of nonlinear coherent structures and their collisions in astrophysical and space plasma domain where dust grains exist.

Automated summary

This paper analyzes the collisions between two types of dust kinetic Alfven solitons and studies their properties through deriving equations and using techniques. The study shows that for small amplitudes, the amplitude at the colliding point is nearly equal to the sum of individual amplitudes, and the impact of relevant physical parameters on the phase shifts is examined.