Abstract

A theoretical investigation is carried out for the first time to understand the linear and nonlinear properties of obliquely propagating electron-acoustic solitary waves (EASWs) in a two-electron population quantum magnetoplasma. A dispersion relation in the linear regime and the Zakharov–Kuznetsov (ZK) equation in the nonlinear regime are derived by using a quantum hydrodynamic set of equations. It is observed that the magnetic field contributes in the wave dispersion through the weakly transverse direction in the ZK equation. It is also found that propagation characteristics of the EASW are significantly affected by the presence of quantum corrections and the ratio of hot to cold electron concentration. The results presented in this study may be helpful to understand the salient features of the finite-amplitude localized electron acoustic solitary pulses in a two-population electron Fermi gas observed in laser-produced plasmas.

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