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Theoretical and numerical studies are performed for the nonlinear structures(explosive, solitons and shock) in quantum electron-positron-ionmagnetoplasmas. For this purpose, the reductive perturbation method is employedto the quantum hydrodynamical equations and the Poisson equation, obtainingextended quantum Zakharov-Kuznetsov equation. The latter has been solved usingthe generalized expansion method to obtain a set of analytical solutions, whichreflect the possibility of the propagation of various nonlinear structures. Therelevance of the present investigation to the white dwarfs is highlighted.

Nonlinear structures: explosive, soliton and shock in a quantum electron-positron-ion magnetoplasma