Two-dimensional (2D) magnetosonic wave propagation in magnetized quantum dissipative plasmas is studied. The plasma system is comprised of inertial ions, inertia-less electrons, and positrons. The multi-fluid quantum hydrodynamic model is used, in which quantum statistical and quantum tunnelling effects of electrons and positrons are included. Reductive perturbation analysis is performed to derive the Zabolotskaya-Khokhlov equation for the 2D propagation of a magnetosonic shock wave in a magnetized qauntum plasma. The effects of varying the different plasma parameters such as positron density and magnetic field intensity on the propagation characteristics of magnetosonic shock waves are discussed with non-relativistic degenerate plasma parameters in astrophysical plasma situations.

An analysis of the azimuthally symmetrical, high frequency eigenmodes of a cylindrical metallic waveguide completely filled with a one-dimensional helical wiggler and relativistic magnetized plasma is presented. A relativistic nonlinear wave equation is derived in a form including the coupling of EH and HE modes due to the finite axial and wiggler magnetic fields. This treatment shows that the dispersion curves are dependent on dγ∕dt and Bw, ignored in previous works. The difference between relativistic modes with effects of wiggler field and nonrelativistic cases is shown. This study is benefiting to improve the devices for generation of high-power electromagnetic radiation, charged particle acceleration, and other applications of plasma waveguide.