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

Sabry, R.; Moslem, W. M.; Haas, F.; Ali, S.; Shukla, P. K.
December 2008
Physics of Plasmas;Dec2008, Vol. 15 Issue 12, p122308
Academic Journal
Theoretical and numerical studies are performed for the nonlinear structures (explosive, solitons, and shock) in quantum electron-positron-ion magnetoplasmas. For this purpose, the reductive perturbation method is employed to the quantum hydrodynamical equations and the Poisson equation, obtaining extended quantum Zakharov–Kuznetsov equation. The latter has been solved using the generalized expansion method to obtain a set of analytical solutions, which reflects the possibility of the propagation of various nonlinear structures. The relevance of the present investigation to the white dwarfs is highlighted.


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