low frequency shocks with higher order effects in multicomponent plasma

The ubiquitary existence of dust in space plasma has been an extensive area of research and has attracted numerous researchers for study of different kinds of nonlinear structures. The presence of dust acoustic (DA) waves have been investigated in different space environments such as Jupiter, Titan, Earth’s magnetosphere, etc. The Jupiter magnetosphere has become one of the most fascinating environment to carry out research due to its various observations in dust ring system, auroras and radiation belts. Our work is basically inspired from the role of higher order effects of nonlinearity and dissipation and also due to importance of Cairns-Tsallis (CT) distribution that provides a better way to explicate in various space and astrophysical regions. In this investigation, the evolution of dust acoustic shock waves and dressed shock waves has been examined in the Jupiter magnetosphere. A five components plasma having positive dust grains, solar wind protons, CT distributed electrons, ions as well as solar wind electrons is considered. By imposing reductive perturbation method, the Burger and inhomogeneous Burger-type equations are derived and their solutions using tanh method their solutions are also derived. It is remarked that contribution of higher order corrections may play an important role on the characteristics of different kinds of DA shock waves. It is augmented that the findings of present investigation may be useful in laboratory, space/astrophysical environments and in Jupiter’s magnetosphere.