81 Volume 1 • Issue 3 • 1000119 Int J Cosmol Astron Astrophys. ISSN: 2641-886X International Journal of Cosmology, Astronomy and Astrophysics ISSN: 2641-886X Research Article Open Access Promi Halder 1 *, KN Mukta 2 and AA Mamun 2 1 Department of Physics, Jagannath University, Dhaka-1100, Bangladesh 2 Department of Physics, Jahangirnagar University, Savar, Dhaka-1342, Bangladesh Article Info *Corresponding author: Promi Halder Assistant Professor Department of Physics Jagannath University Dhaka-1100, Bangladesh Tel: (+880)1775167522 E-mail: promi.plasma@gmail.com Received: April 30, 2019 Accepted: May 13, 2019 Published: May 20, 2019 Citation: Halder P, Mukta KN, Mamun AA. Nonlinear Propagation of Dust-Ion-Acoustic Shock Waves in a Degenerate Multi-Species Plasma. Int J Cosmol Astron Astrophys. 2019; 1(3): 81-87. doi: 10.18689/ijcaa-1000119 Copyright: © 2019 The Author(s). This work is licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Published by Madridge Publishers Abstract The nonlinear propagation of dust-ion-acoustic (DIA) waves in an unmagnetized collisionless degenerate dense plasma (containing degenerate electron, positron, ion fluids and negatively charged dust grains) have been theoretically investigated. The Burgers’ equation has been derived by employing the reductive perturbation method and by taking the effect of viscous force in the ion fluid into account. The stationary shock wave solution of Burgers’ equation is obtained, and numerically analyzed in order to identify the basic properties of dust-ion-acoustic shock structures. It has been shown that depending on plasma parametric values, the degenerate plasma under consideration supports compressive or rarefactive shock structures. The relevance of our results in astrophysical objects like white dwarfs and neutron stars, which are of scientific interest, are briefly discussed. PACS numbers: 52.27.Ny, 52.35.Fp, 52.35.Tc, 52.25.Vy Keywords: Dust-ion-acoustic waves; Shock waves; Degenerate pressure; Relativistic factor; Compact objects. Introduction Now-a-days, the linear properties of the DIA waves in dusty plasmas are well understood from both theoretical and experimental points of view [1-5]. Recently, the nonlinear waves particularly the DIA shock waves (DIA ShWs) have received an impressive interest in realizing the basic properties of localized electrostatic perturbations in space and laboratory dusty plasmas. The physics of quantum plasmas, rapidly grown beyond conventional plasmas found in space or laboratory for many years [6,7]. This is mainly due to the potential applications of quantum plasmas in different areas of scientific and technological importance [8-11]. It is a common idea that electron-positron plasmas have presumably appeared in the early universe [12,13] and are frequently encountered in active galactic nuclei [14] and in pulsar magnetospheres [15,16]. This electron-positron-ion plasma is usually characterized as a fully ionized gas consisting of electrons and positrons of equal masses. Recently, there has been a great deal of interest in studying linear as well as nonlinear wave motions in such plasmas [17,19]. However, most of the astrophysical plasmas usually contains ions, in addition to the electrons and positrons. Clearly, the properties of wave motions in an electron- positron-ion plasma should be different from those in two-component electron-positron plasmas. For example, Rizzato [20] and Berezhiani et al. [21] have investigated envelope solutions of electromagnetic waves in three-component electron-positron-ion plasmas. The electron-positron-ion plasmas are thought to be generated naturally by pair production in high energy processes in the vicinity of several astrophysical objects as well as produced in laboratory plasmas experiments with a finite life time [22]. Because of the long life time of the positrons, most of the astrophysical [23] and laboratory plasmas [24] become Nonlinear Propagation of Dust-Ion-Acoustic Shock Waves in a Degenerate Multi-Species Plasma