الفهرس 
Comparison study of the energy and instability of ion-acoustic solitary waves inOnly 14 pages are availabe for public view
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Abstract
In this study, we aim to analyze the non-linear behavior and the instability of acoustic solitary waves of quantum plasma model composed of degenerate electrons and positrons, as well as classical ions, subject to external static magnetic field. Via applying the reductive perturbation technique, the non-linear (3+1) quantum Zakharov–Kuznetsov (QZK) equation is obtained. It is found that the solitary wave modes are dependent on the Bohm potential, magnetic field flux density, obliqueness, Fermi temperatures of components, and number densities. The electric field and the energy of the soliton are also derived and investigated, which were found to be decreased as the magnetic field increases. Furthermore, The instability growth rate is derived by using the small-k expansion tool. The previous parameters affect the instability growth rate as well.