Dissipative cylindrical magnetosonic solitary waves in a magnetized quantum dusty plasma

摘要

The propagation of nonlinear magnetosonic wave in electron-ion-dust (complex) plasmas, considering the effects of Bohm potential in the presence of an external magnetic field is reported. By means of the quantum hydrodynamics model and applying the reductive perturbation method, a cylindrical Kadomtsev-Petviashvili-Burgers (CKPB) equation is derived. The CKPB equation can be solved analytically using a suitable coordinate transformation with the tanh technique. The numerical results reveal that the plasma density, the magnetic field strength, and the dust kinematic viscosity strongly affect on the profile of magnetoacoustic shocks. It is found that the shock structures decrease with the increase of electron number density. Moreover, increasing the value of magnetic field intensity, the strength of the cylindrical magnetoacoustic shock diminishes at a specific time and the strength of the shock increases with the enhancement of the dust kinematic viscosity.