Heavy nucleus acoustic periodic waves in a degenerate relativistic magneto-rotating quantum plasma

Abstract

The study of heavy nucleus acoustic (HNA) periodic and solitary waves in degenerate relativistic magneto-rotating quantum plasma (DRMQP) composed of relativistic degenerate electrons, light nuclei and non-degenerate mobile heavy nuclei is presented. Reductive perturbation technique is adopted to derive the Korteweg–de Vries (KdV) type equation for studying the characteristics of HNA periodic waves. Further energy balance equation is derived by using Sagdeev potential approach and HNA cnoidal wave solution is determined. Only positive potential nonlinear periodic and solitary structures are observed. The impact of number density ratio, charge density, magnetic field strength and rotational effect is analyzed on the characteristics of HNA cnoidal and solitary waves. The results of this investigation may shed light on the salient features of different nonlinear HNA waves in different astrophysical environments, especially in white dwarfs.

Keywords:

• Quantum plasma
• degenerate plasma
• KdV
• periodic waves
• reductive perturbation technique

Acknowledgments

The authors acknowledge the support from DRS-II (SAP) No. F/530/17/DRS-II/2015(SAP-II) UGC, New Delhi, India. This work is also supported by DST, Government of India, under DST-PURSE scheme.

Disclosure statement

No potential conflict of interest was reported by the author(s).