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Self-gravitating envelope solitons in astrophysical compact objects

2018/03/01 by S. Khondaker, Khondaker, S., N. A. Chowdhury +5
Physics and Astronomy · #FOS: Physical sciences #Plasma Physics (physics.plasm-ph) #physics.plasm-ph

paper · pdf · doi:10.48550/arxiv.1803.00252

6 figures

arxiv created 2018/03/01 · arxiv updated 2018/03/02

Abstract

The propagation of ion-acoustic waves (IAWs) in a collisionless unmagnetized self-gravitating degenerate quantum plasma system (SG-DQPS) has been studied theoretically for the first time. A nonlinear Schrödinger equation is derived by using the reductive perturbation method to study the nonlinear dynamics of the IAWs in the SG-DQPS. It is found that for kc > k (kc < k) (where kc is critical value of the propagation constant k which determines the stable and unstable region of IAWs) the IAWs are modulationally unstable (stable), and that kc depends only on the ratio of the electron number density to light ion number density. It is also observed that the self-gravitating bright envelope solitons are modulationally stable. The results obtained from our present investigation are useful for understanding the nonlinear propagation of the IAWs in astrophysical compact objects like white dwarfs and neutron stars.

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