Abstract
By employing the quantum hydrodynamic model, linear and nonlinear properties of quantum ion-acoustic waves are studied in a nonuniform, dissipative quantum plasma with sheared ion flow parallel to the ambient magnetic field. It is shown that the shear flow parallel to the magnetic field can drive the quantum ion-acoustic wave unstable. Stationary solutions of the nonlinear equations that govern the quantum ion-acoustic waves are also obtained. It is found that electrostatic monopolar, dipolar, and vortex street type solutions can appear in such a plasma. It is observed that the inclusion of the quantum statistical and Bohm potential terms significantly modify the scalelengths of these structures. The present work may have relevance in the dense astrophysical environments where quantum effects are expected to play a significant role.
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