Dust acoustic kinetic Alfvén wave solitons and periodic waves in a polarized dusty plasma

This investigation presents the influence of polarization force on dust acoustic kinetic Alfvén solitary waves (DAKASWs) and phase portrait analysis in a magnetized dusty plasma composed of dust and ions as well as electrons obeying Vasyliunas–Cairns distribution. Two KdV equations with polarization force in the fluid model equations have been derived by employing extended Poincaré–Lighthill–Kuo method. Multi-soliton solution are also determined by using Hirota Bilinear method. Only negative potential (rarefactive) DAKASWs are observed. Analysis of variation in the polarization force, propagation angle, and plasma beta on the characteristics of DAKASWs and head-on collision of multi-solitons has been carried out. Galilean transformation is used to transform the KdV equation into planar dynamical systems. The dynamical system has been described in the form of phase portrait and small-amplitude Sagdeev’s pseudopotential curve. Further, under the influence of different plasma parameters, periodic waves in homoclinic and periodic orbits in phase portraits are investigated. The findings of this investigation may be useful to understand the insight of physics of nonlinear phenomena for studying dynamics of DAKASWs in Jupiter’s magnetosphere as well as astrophysical plasma environments.