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

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

2009-07-21

arxiv.org/abs/0907.3601v1

Phys. of Plasmas v. 15, p. 122308 (2008)

Physics

Plasma Physics

7 figures

Scientific paper

10.1063/1.3037265

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 reflect 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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