Abstract
The modifications, which arise from ultra-relativistic and degenerate effects of electrons and positrons as well as the chemical potentials in the basic features of three-dimensional isothermal ion acoustic shock waves (IIASWs) propagating in magnetized electron–positron–ion (e–p–i) plasmas are studied. The cold ions are considered to be magnetized and inertial, while the small particles (i.e., electrons and positrons) are taken to obey the Fermi–Dirac statistics. The well-known reductive perturbation analysis is applied to obtain the nonlinear Zakharov–Kuznetsov–Burgers equation (NZKBE). The analytical shock wave solution is obtained by employing the tanh technique. Furthermore, the asymptotic behavior and the stability of the shock structures are discussed. In the current model, the disturbances of nonlinear isothermal ion acoustic waves are found to exhibit only monotonic IIASWs. The consequences of the chemical potential, the presence of ultra-relativistic degenerate electrons and positrons, and magnetic field on the essential properties of three-dimensional IIASWs are numerically examined. The numerical investigations give rise to significant high lights on the propagation and the dynamic behavior of IIASWs. It is found that the amplitudes of the monotonic IIASWs decrease with chemical potentials of ultra-relativistic degenerate electrons and positrons increase.
Similar content being viewed by others
REFERENCES
P. A. Markowich, C. A. Ringhofer, and C. Schmeiser, Semiconductor Equations (Springer-Verlag, New York, 1990).
L. K. Ang, T. J. T. Kwan, and Y. Y. Lau, Phys. Rev. Lett. 91, 208303 (2003).
T. C. Killian, Nature (London) 441, 298 (2006).
S. H. Glenzer, O. L. Landen, and P. Neumayer, Phys. Rev. Lett. 98, 065002 (2007).
F. C. Michel, Theory of Neutron Star Magnetosphere (Chicago University Press, Chicago, 1991).
A. Rahman, S. Ali, A. M. Mirza, and A. Qamar, Phys. Plasmas 20, 042305 (2013).
E. F. El-Shamy, Phys. Rev. E 91, 033105 (2015).
E. F. El-Shamy, R. C. Al-Chouikh, A. El-Depsy, and N. S. Al-Wadie, Phys. Plasmas 23, 122122 (2016).
S. Chandrasekhar, Astrophys. J. 74, 81 (1931).
S. Chandrasekhar, Philos. Mag. 11, 592 (1931).
S. Chandrasekhar, Mon. Not. R. Astron. Soc. 170, 405 (1935).
F. Haas, L. G. Garcia, J. Goedert, and G. Manfredi, Phys. Plasmas 10, 3858 (2003).
S. A. Khanand and W. Masood, Phys. Plasmas 15, 062301 (2008).
S. Mahmood and A. Mushtaq, Phys. Lett. A 372, 3467 (2008).
E. F. El-Shamy, W. M. Moslem, and P. K. Shukla, Phys. Lett. A 374, 290 (2009).
W. Masood, A. M. Mirza, Sh. Nargis, and M. Ayub, Phys. Plasmas 16, 042308 (2009).
S. K. El-Labany, E. F. El-Shamy, W. F. El-Taibany, and P. K. Shukla, Phys. Lett. A 374, 960 (2010).
F. Haas, J. Plasma Phys. 82, 705820602 (2016).
S. Islam, S. Sultana, and A. A. Mamun, Phys. Plasmas 24, 092115 (2017).
A. E. Dubinov, Plasma Phys. Rep. 33, 210 (2007).
A. E. Dubinov and A. A. Dubinova, Plasma Phys. Rep. 34, 403 (2008).
A. E. Dubinov and M. A. Sazonkin, Plasma Phys. Rep. 35, 14 (2009).
A. E. Dubinov, A. A. Dubinova, and M. A. Sazonkin, J. Commun. Technol. Electron. 55, 907 (2010).
A. E. Dubinov and M. A. Sazonkin, JETP 111, 865 (2010).
A. E. Dubinov and I. N. Kitaev, Phys. Plasmas 21, 102105 (2014).
B. M. Mladek, G. Kahl, and M. J. Neumann, Chem. Phys. 124, 064503 (2006).
A. El-Depsy and M. M. Selim, IEEE Trans. Plasma Sci. 44, 2901 (2016).
F. Haas and S. Mahmood, Phys. Rev. E 97, 063206 (2018).
M. M. Rahman, M. S. Alam, and A. A. Mamun, J. Korean Phys. Soc. 64, 1828 (2014).
B. Sahu and R. Roychoudhury, Phys. Plasmas 14, 072310 (2007).
S. Hussain and N. Akhtar, Phys. Plasmas 20, 012305 (2013).
E. F. El-Shamy and A. M. Al-Asbali, Phys. Plasmas 21, 093701 (2014).
A. Rahman, W. Masood, B. Eliasson, and A. Qamar, Phys. Plasmas 20, 092305 (2013).
D. Tong, Statistical Physics, University of Cambridge Part II Mathematical Tripos (University of Cambridge, Cambridge, 2012). http:////www.damtp.cam.ac.uk/user/tong/statphys.html.
H. Washimi and T. Taniuti, Phys. Rev. Lett. 17, 996 (1966).
W. Masood, M. Siddiq, S. Nargis, and A. M. Mirza, Phys. Plasmas 16, 013705 (2009).
W. Malfliet, J. Comput. Appl. Math. 164, 529 (2004).
S. Sultana, G. Sarri, and I. Kourakis, Phys. Plasmas 19, 012310 (2012).
ACKNOWLEDGMENTS
The authors thank the editor and his staff for their kind cooperation.
Funding
The authors extend their appreciation to the Deanship of scientific research at King Khalid University for funding this work through research groups pangram under grant number KKU-R.G.P.1/52/39.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
El-Shamy, E.F., Selim, M.M. & El-Depsy, A. Three-Dimensional Isothermal Ion Acoustic Shock Waves in Ultra-Relativistic Degenerate Electron–Positron–Ion Magnetoplasmas. Plasma Phys. Rep. 46, 435–442 (2020). https://doi.org/10.1134/S1063780X20040030
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063780X20040030