Coupled Drift Ion Acoustic Shock waves with trapped electrons in Quantum Magnetoplasma

Coupled drift ion acoustic shock waves are studied in inhomogeneous, dissipative quantum magnetoplasmas in the presence of adiabatically trapped electrons. We have derived a nonlinear Burgers like evolution equation having a fractional nonlinearity. The quantum magnetohydrodynamics model (QMHD) has been employed to derive this nonlinear equation (2 + 1) (two spatial and one temporal) dimensions. Nonlinear analysis of the equation is carried out to show that it admits shock solutions. These shock structures are numerically investigated by using parameters of neutron stars where quantum effects are expected to dominate the dynamics of the system. These results show significant dependence on the physical parameters namely inhomogeneity, number density, ambient magnetic field, collisional frequency and the angle of propagation.