Abstract
The standard reductive perturbation method has been employed to derive the Korteweg-deVries (K-dV) and Burgers (BG) equations to investigate the basic properties of heavy-ion-acoustic (HIA) waves in a plasma system which is supposed to be composed of nonthermal electrons, Boltzmann distributed light ions, and adiabatic positively charged inertial heavy ions. The HIA solitary and shock structures are found to exist with either positive or negative potential. It is found that the effects of adiabaticity of inertial heavy ions, nonthermality of electrons, and number densities of plasma components significantly modify the basic properties of the HIA solitary and shock waves. The implications of our results may be helpful in understanding the electrostatic perturbations in various laboratory and astrophysical plasma environments.
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References
W. Misner, K.S. Thome, J.A. Wheeler, Gravitation (Freeman, San Francisco, 1973)
M.J. Rees, in The very early universe, ed. by G. W. Gibbons, S. W. Hawking, S. Siklas (Cambridge University Press, Cambridge, 1983)
H.R. Miller, P.J. Witta, Active galactic nuclei (Springer, Berlin, 1987)
D.A. Mendis, M. Horanyi, In Cometary Plasma Processes, AGU Monograph No. 61, American Geophysical Union, (Washington, DC, 1991)
T. Montmerle, in The physics of star formation and early stellar evolution, ed. by C. J. Lada, N. D. Kylafis (Kluwer, Dordrecht, 1991)
D.A. Mendis, M. Rosenberg, Annu. Rev. Astron. Astrophys. 32, 419 (1994)
H. Alfvén, D.A. Mendis, Adv. Space Res. 3, 293 (1983)
W. Hartquist, O. Havnes, G.E. Morfill, Fundam. Cosm. Phys. 15, 107 (1992)
H. Washimi, T. Taniuti, Phys. Rev. Lett. 17, 996 (1966)
H.K. Andersen, N. D’Angelo, P. Michelsen, P. Nielsen, Phys. Rev. Lett. 19, 149 (1967)
H. Ikezi, R. Taylor, D. Baker, Phys. Rev. Lett. 25, 11 (1970)
S.I. Popel, S.V. Vladimirov, P.K. Shukla, Phys. Plasmas 2, 716 (1995)
A.A. Mamun, Phys. Rev. E 55, 1852 (1997)
A.A. Mamun, P.K. Shukla, Phys. Plasmas 9, 1468 (2002)
P.K. Shukla, Phys. Plasmas 7, 1044 (2000)
Q.Z. Luo, N. D’Angelo, R.L. Merlino, Phys. Plasmas 6, 3455 (1999)
R.A. Cairns, A.A. Mamun, R. Bingham, R. Boström, R.O. Dendy, C.M.C. Nairn, P.K. Shukla, Geophys. Res. Lett. 22, 2709 (1995)
C. Chan, M. Khazei, K.E. Lonngren, N. Hershkowitz, Phys. Fluids 24, 1452 (1981)
Y. Nakamura, H. Bailung, P.K. Shukla, Phys. Rev. Lett. 83, 1602 (1999)
A.A. Mamun, R.A. Cairns, Phys. Rev. E 79, 055401 (2009)
M.A. Hossen, M.R. Hossen, A.A. Mamun, J. Korean Phys. Soc. 65, 1883 (2014)
M.A. Hossen, M.R. Hossen, A.A. Mamun. Braz. J. Phys. 44, 703 (2014)
M.R. Hossen, L. Nahar, S. Sultana, A.A. Mamun. Astrophys. Space Sci. 353, 123 (2014)
M.R. Hossen, L. Nahar, A.A. Mamun. J. Korean Phys. Soc. 65, 1863 (2014)
C.S. Wu, G.Q. Zhao, L. Chen, D.J. Wu, Phys. Plasmas 20, 082102 (2013)
G.C. Das, Phys. Plasmas 19, 363 (1977)
S.K. El-Labany, A. El-Sheikh, Astrophys. Space Sci. 19, 185 (1992)
H. Schamel, S. Bujarbarua, Phys. Fluids. 23, 2498 (1980)
K. Nishihara, M. Tajiri, J. Phys. Soc. Jpn. 50, 4047 (1981)
T. Akhter, M.M. Hossain, A.A. Mamun, Plasma Phys. B 22, 075201 (2013)
P. Eslami, M. Mottaghizadeh, H.R. Pakzad, Can. J. Phys. 90, 525 (2012)
A.A. Mamun, N. Jahan, Eur. Phys. Lett. 84, 35001 (2008)
C.R. Choi, K.W. Min, M.H. Woo, C.M. Ryu, Phys. Plasmas 17, 092904 (2010)
K. Jilani, A.M. Mirza, T.A. Khan, Astrophys. Space Sci. 344, 135 (2013)
A.A. Mamun, Phys. Lett A. 372, 4610 (2008)
A. Rahman, F. Sayed, A.A. Mamun, Phys. Plasmas 14, 034503 (2007)
T. Akhter, A. Mannan, A.A. Mamun, Plasma Phys. Reports 39, 548 (2013)
J.-N. Han, J.-H. Luo, G.-X. Dong, S.-S. Zheng, Y.-G. Nan, Phys. Scr. 86, 035505 (2012)
Acknowledgment
M. A. Hossen, one of the authors, is grateful to the Ministry Of Science and Technology (MOST), Bangladesh for awarding the National Science and Technology (NST) fellowship.
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Hossen, M.A., Rahman, M.M., Hossen, M.R. et al. Heavy-Ion-Acoustic Solitary and Shock Waves in an Adiabatic Multi-Ion Plasma. Braz J Phys 45, 444–449 (2015). https://doi.org/10.1007/s13538-015-0338-7
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DOI: https://doi.org/10.1007/s13538-015-0338-7