A. Abdikian
Nonlinear Propagation of Acoustic Soliton Waves in Dense Quantum ElectronPositron Magnetoplasma
282 - 290
2017
11
7
International Journal of Physical and Mathematical Sciences
https://publications.waset.org/pdf/10007503
https://publications.waset.org/vol/127
World Academy of Science, Engineering and Technology
Propagation of nonlinear acoustic wave in dense electronpositron (ep) plasmas in the presence of an external magnetic field and stationary ions (to neutralize the plasma background) is studied. By means of the quantum hydrodynamics model and applying the reductive perturbation method, the ZakharovKuznetsov equation is derived. Using the bifurcation theory of planar dynamical systems, the compressive structure of electrostatic solitary wave and periodic travelling waves is found. The numerical results show how the ion density ratio, the ion cyclotron frequency, and the direction cosines of the wave vector affect the nonlinear electrostatic travelling waves. The obtained results may be useful to better understand the obliquely nonlinear electrostatic travelling wave of small amplitude localized structures in dense magnetized quantum ep plasmas and may be applicable to study the particle and energy transport mechanism in compact stars such as the interior of massive white dwarfs etc.
Open Science Index 127, 2017