Nonlinear propagation of dust-ion-acoustic waves in multi component magnetized complex plasma medium

We have investigated the fundamental properties of obliquely propagating dust-ion-acoustic shock waves in a collisionless, viscous, magnetized plasma medium comprising Maxwellian distributed hot protons, hot electrons and cold electrons, inertial ions, and immobile negatively charged dust species. A set of fluid equations is considered to describe our plasma system and then reduced to a partial differential equation so called Burger’s equation, with the help of the reductive perturbation method. Under the suitable boundary conditions, Burger’s equation gives the shock wave solution. It is seen that basic properties (viz. speed, amplitude, width, etc.) of dust-ion-acoustic shock waves are significantly changed with plasma parameters. It is observed that our plasma system under consideration supports only positive shock structures. The dissipation coefficient is influenced by the effect of viscosity. The effect of obliqueness of the external magnetic field arises in the nonlinear coefficient. The implications of our theoretical investigation of shock wave formation in both laboratory and space plasmas under the influence of an external magnetic field are briefly discussed.