Dust ion-acoustic waves in magnetized quantum dusty plasmas with polarity effect

The obliquely propagating two-dimensional quantum dust ion-acoustic solitary waves in a magnetized quantum dusty plasma are studied by using the quantum hydrodynamic model. A linear dispersion relation is obtained using the Fourier analysis, and a nonlinear quantum Zakharov-Kuznetsov equation is derived for small-amplitude perturbations. A stationary solution of this equation is obtained to investigate the effects of quantum corrections, concentration of dust particles, and the angle of propagation on the amplitude, width, and energy of the soliton. The relevance of the present investigation to the astrophysical dusty plasmas is discussed