Abstract
Nonlinear excitation and the properties of ion-acoustic shock waves (IASWs) in a magnetoplasma model composed of viscous ions with two-temperature superthermality distributed electrons are studied by employing the well-known reductive perturbation analysis to obtain a nonlinear Zakharov-Kuznetsov-Burgers equation (ZKBE), which admits the excitation of nonlinear IASWs in superthermal plasmas. Applying the tanh method, we discuss the solutions of the ZKBE. The asymptotic behavior and the stability of the analytical shock wave solution are studied. In general, nonlinear ion-acoustic disturbances are found analytically to exhibit only monotonic shock structures in the proposed model. For different situations, the effects of the dispersion and the dissipation coefficients on the profiles of the shock structures are discussed. The findings here demonstrate that the effective features of nonlinear IASWs depend strongly on the dispersion and the dissipation coefficients, which include physical parameters such as the superthermality of cold electrons, the cold superthermal electron-to-ion number density ratio, the ion kinematic viscosity and the ion cyclotron frequency. The current work may be helpful for an advanced comprehension of the physical nature of shock waves in astrophysical plasma situations.
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References
S. L. Shapiro and S. L. Teukolsky, Black Holes, White Dwarfs and Neutron Stars: The Physics of Compact Objects (Wiley, New York, 1983).
F. C. Michel, Theory of Neutron Star Magnetospheres (Chicago University Press, Chicago, 1991).
E. F. El-Shamy, IEEE Trans. Plasma Sci. 38, 909 (2010).
A. A. Mamun and M. S. Zobaer, Phys. Plasmas 21, 022101 (2014).
N. A. El-Bedwehy, M. A. El-Attafi and S. K. El-Labany, Astrophys. Space Sci. 361, 299 (2016).
S. Magni et al., Phys. Rev. E 72, 026403 (2005).
S. Sultana, I. Kourakis, N. S. Saini and M. A. Hellberg, Phys. Plasmas 17, 032310 (2010).
S. K. El-Labany, R. Sabry, E. F. El-Shamy and D. M. Khedr, J. Plasma Phys. 79, 613 (2013).
S. P. Christon et al., J. Geophys. Res. 93, 2562 (1988).
V. Pierrard and J. Lemaire, J. Geophys. Res. 101, 7923 (1996).
M. Maksimovic, V. Pierrard and P. Riley, Geophys. Res. Lett. 24, 1151 (1997).
J. R. Asbridge, S. J. Baume and I. B. Strong, J. Geophys. Res. 73, 5777 (1987).
M. M. Selim, A. El-Depsy and E. F. El-Shamy, Astrophys. Space Sci. 360, 66 (2015).
H. G. Abdelwahed, E. K. El-Shewy, A. El-Depsy and E. F. El-Shamy, Phys. Plasmas 24, 023703 (2017).
E. F. El-Shamy, Chin. Phys. Lett. 32, 085203 (2017).
E. C. Sittler Jr., K. W. Ogilvie and J. D. Scudder, J. Geophys. Res. 88, 8847 (1983).
D. D. Barbosa and W. S. Kurth, J. Geophys. Res. 98, 9351 (1993).
D. T. Young et al., Science 307, 1262 (2005).
P. Schippers et al., J. Geophys. Res. 113, A07208 (2008).
W. D. Jones, A. Lee, S. M. Gleman and H. J. Doucetf, Phys. Rev. Lett. 35, 1349 (1975).
B. Buti, Phys. Lett. A 76, 169 (1980).
S. S. Ghosh, K. K. Ghosh and A. N. Sekar Iyengar, Phys. Plasmas 3, 3939 (1996).
N. S. Saini, B. S. Chahal, A. S. Bains and C. Bedi, Phys. Plasmas 21, 022114 (2014).
A. Panwar, C. M. Ryu and A. S. Bains, Phys. Plasmas 21, 122105 (2014).
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).
M. S. Alam, M. M. Masud and A. A. Mamun, Chin. Phys. B 22, 115202 (2013).
M. S. Alam, M. M. Masud and A. A. Mamun, Braz. J. Phys. 45, 95 (2015).
A. S. Bains, A. Panwar and C. M. Ryu, Astrophys. Space Sci. 360, 17 (2015).
M. Emamuddina and A. A. Mamun, Phys. Plasmas 25, 013708 (2018).
E. F. El-Shamy and N. A. El-Bedwehy, Phys. Lett. A 374, 4425 (2010).
E. F. El-Shamy, Phys. Plasmas 21, 082110 (2014).
S. Sultana, G. Sarri and I. Kourakis, Phys. Plasmas 19, 012310 (2012).
A. El-Depsy and M. M. Selim, IEEE Trans. Plasma Sci. 44, 2901(2016).
W. Masood, M. Siddiq, S. Nargis and A. M. Mirza, Phys. Plasmas 16, 013705 (2009).
W. Malfliet, J. Comput. Appl. Math. 164, 529 (2004).
Acknowledgments
The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through the research groups program under grant number KKUR.G.P.1/38/39. The authors also thank the editor and his staff for their kind cooperation.
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El-Shamy, E.F., Mahmoud, M., Al-Wadie, E.S. et al. Excitation and Formation Conditions of Monotonic Shock Waves in Magnetized Plasmas with Superthermality Distributed Electrons. J. Korean Phys. Soc. 75, 54–62 (2019). https://doi.org/10.3938/jkps.75.54
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DOI: https://doi.org/10.3938/jkps.75.54