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

TL;DR

This paper investigates nonlinear wave structures such as explosive waves, solitons, and shocks in quantum electron-positron-ion magnetoplasmas using analytical and numerical methods, with relevance to white dwarf stars.

Contribution

It introduces an extended quantum Zakharov-Kuznetsov equation derived from quantum hydrodynamics and solves it analytically to explore nonlinear structures in quantum plasmas.

Findings

Existence of various nonlinear structures in quantum plasmas.

Analytical solutions demonstrating propagation of solitons and shocks.

Relevance to astrophysical objects like white dwarfs.

Abstract

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.