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Weakly nonlinear dust ion-acoustic waves in a charge varying dusty plasma with non-thermal electrons

Published online by Cambridge University Press:  01 April 2008

MOULOUD TRIBECHE
Affiliation:
Plasma Physics Group, Theoretical Physics Laboratory, Faculty of Sciences-Physics, University of Bab-Ezzouar, USTHB, B.P. 32, El Alia, Algiers 16111, Algeria
ABDERREZAK BERBRI
Affiliation:
Plasma Physics Group, Theoretical Physics Laboratory, Faculty of Sciences-Physics, University of Bab-Ezzouar, USTHB, B.P. 32, El Alia, Algiers 16111, Algeria

Abstract

The weakly nonlinear dynamics of dust ion-acoustic waves (DIAWs) are investigated in a dusty plasma consisting of hot ion fluid, variable charge stationary dust grains and non-thermally distributed electrons. The Korteweg–de Vries equation, as well as the Korteweg–de Vries–Burgers equation, are derived on the basis of the well-known reductive perturbation theory. It is shown that, due to electron non-thermality and finite ion temperature, the present dusty plasma model can support compressive as well as rarefactive DIA solitary waves. Furthermore, there may exist collisionless DIA shock-like waves which have either monotonic or oscillatory behavior, the properties of which depend sensitively on the number of fast non-thermal electrons. The results complement and provide new insights into previously published results on this problem (Mamun, A. A. and Shukla, P. K. 2002 IEEE Trans. Plasma Sci. 30, 720).

Type
Papers
Copyright
Copyright © Cambridge University Press 2007

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References

[1]Goertz, C. K. 1989 Rev. Geophys. 27, 271.CrossRefGoogle Scholar
[2]Mendis, D. A. and Rosenberg, M. 1994 Annu. Rev. Astron. Astrophys. 32, 419.CrossRefGoogle Scholar
[3]Horanyi, M. 1996 Annu. Rev. Astron. Astrophys. 34, 383.CrossRefGoogle Scholar
[4]Shukla, P. K. and Mamun, A. A. 2002 Introduction to Dusty Plasma Physics. Bristol: IOP, and references therein.Google Scholar
[5]Rao, N. N., Shukla, P. K. and Yu, M. Y. 1990 Planet. Space Sci. 38, 543.CrossRefGoogle Scholar
[6]Melandso, F. 1996 Phys. Plasmas 3, 3890.Google Scholar
[7]Tribeche, M., Hamdi, R. and Zerguini, T. H. 2000 Phys. Plasmas 7, 4013.Google Scholar
[8]Tribeche, M., Houili, H. and Zerguini, T. H. 2002 Phys. Plasmas 9, 419.CrossRefGoogle Scholar
[9]Tribeche, M., Zerguini, T. H. and Houili, H. 2002 Phys. Plasmas 9, 4879.Google Scholar
[10]Tribeche, M. and Zerguini, T. H. 2004 Phys. Plasmas 11, 4115.CrossRefGoogle Scholar
[11]Houili, H., Tribeche, M. and Zerguini, T. H. 2002 J. Plasma Phys. 67, 115.Google Scholar
[12]D'Angelo, N. 2000 Frontiers in Dusty Plasmas (ed. Nakamura, Y.,Yokota, T. and Shukla, P. K.). Amsterdam: Elsevier, p. 303.CrossRefGoogle Scholar
[13]Merlino, R. L., Barkan, A., Thompson, C. and D'Angelo, N. 1998 Phys. Plasmas 5, 1607. Merlino, R. L., Barkan, A., Thompson, C. and D'Angelo, N. 1997 Plasma Phys. Control. Fusion 39, 421.Google Scholar
[14]Nakamura, Y., Bailung, H. and Shukla, P. K. 1999 Phys. Rev. Lett. 83, 1602. Nakamura, Y. and Bailung, H. 1999 Rev. Sci. Instrum. 70, 2345. Nakamura, Y. and Sarmaa, A. 2001 Phys. Plasmas 8, 3921.CrossRefGoogle Scholar
[15]Liang, X., Zheng, J., Ma, J. X., Liu, W. D., Xie, J., Zhuang, G. and Yu, C. X. 2001 Phys. Plasmas 8, 1459.CrossRefGoogle Scholar
[16]Shukla, P. K. and Silin, V. P. 1992 Phys. Scr. 45, 508.CrossRefGoogle Scholar
[17]Merlino, R. L. 1997 IEEE Trans. Plasma Sci. 25, 60.CrossRefGoogle Scholar
[18]Mamun, A. A. and Shukla, P. K. 2002 IEEE Trans. Plasma Sci. 30, 720.CrossRefGoogle Scholar
[19]Washimi, H. and Taniuti, T. 1996 Phys. Rev. Lett. 17, 996.Google Scholar
[20]Tran, M. Q. 1979 Phys. Scr. 20, 317.Google Scholar
[21]Cairns, R. A., Mamun, A. A., Bingham, R., Boström, R., Dendy, R. O., Nairn, C. M. C. and Shukla, P. K. 1995 Geophys. Res. Lett. 22, 2709.CrossRefGoogle Scholar
[22]Cairns, R. A., Bingham, R., Dendy, R. O., Nairn, C. M. C., Shukla, P. K. and Mamun, A. A. 1995 J. Physique 5 C6, 43.Google Scholar
[23]Cairns, R.A., Mamun, A. ABingham, R. and Shukla, P. K. 1996 Phys. Scr. T63, 80.Google Scholar
[24]Mamun, A. A., Cairns, R. A. and Shukla, P. K. 1996 Phys. Plasmas 3, 2610.CrossRefGoogle Scholar
[25]Mamun, A. A., Shukla, P. K., Bingham, R. and Cairns, R. A. 1997 Advances in Dusty Plasmas (ed. Shukla, P. K.Mendis, D. A. and Desai, T.). Singapore: World Scientific, p. 522.Google Scholar
[26]Mamun, A. A. 1997 Phys. Rev. E 55, 1852.Google Scholar
[27]Mamun, A. A. 2000 Eur. Phys. J. D 11, 143.Google Scholar
[28]Mamun, A. A., Russel, S. M.Mendoza-Briceño, César A.Alam, M. N.Datta, T. K. and Das, A. K. 2000 Planet. Space Sci. 48, 163.Google Scholar
[29]Mendoza-Briceño, César A.Russel, S. M. and Mamun, A. A. 2000 Planet. Space Sci. 48, 599.Google Scholar
[30]Bandyopadhyay, A. and Das, K. P. 2000 Phys. Plasmas 7, 3227.CrossRefGoogle Scholar
[31]Roychoudhury, R. 2002 J. Plasma Phys. 67, 199.CrossRefGoogle Scholar
[32]Singh, S. V. and Lakhina, G. S. 2004 Nonlinear Process. Geophys. 11, 275.CrossRefGoogle Scholar
[33]Zhang, Li-Ping and Xue, Ju-Kui 2005 Phys. Plasmas 12, 042304.Google Scholar
[34]El-Taibany, W. F. and Sabry, R. 2005 Phys. Plasmas 12, 082302.CrossRefGoogle Scholar
[35]Zhang, Jie-fangWang, Yue-yue and Wang, Yue-yue 2006 Phys. Plasmas 13, 022304.CrossRefGoogle Scholar
[36]El-Taibany, W. F. and Kourakis, I. 2006 Phys. Plasmas 13, 062302.Google Scholar
[37]Sahu, B. and Roychoudhury, R. 2006 Phys. Plasmas 13, 072302.CrossRefGoogle Scholar
[38]El-Taibany, W. F.Wadati, M. and Sabry, R. 2007 Phys. Plasmas 14, 032304.Google Scholar
[39]Spicer, D., Bingham, R., Huba, J. and Shapiro, V. D. 2002 Nonlinear Process. Geophys. 9, 121.CrossRefGoogle Scholar
[40]Chen, F. F. 1965 Plasma Diagnostic Techniques (ed. Huddlestone, R. H. and Leonard, S. L.). New York: Academic, ch. 4.Google Scholar
[41]Barnes, M. S., Keller, J. H., Forster, J. C.O'Neill, J. A. and Coultas, D. K. 1992 Phys. Rev. Lett. 68, 313.CrossRefGoogle Scholar
[42]Ma, J. X. and Yu, M. Y. 1995 Phys. Plasmas 2, 1343.CrossRefGoogle Scholar
[43]Whipple, E. C. 1981 Rep. Prog. Phys. 44, 1198.CrossRefGoogle Scholar
[44]Ma, J. X., Liu, Jin-yuan and Yu, M. Y., 1997 Phys. Rev. E 55, 4627.Google Scholar
[45]Liu, Jin-yuan and Ma, J. X. 1997 Phys. Plasmas 4, 2798.CrossRefGoogle Scholar
[46]Popel, S. I., Yu, M. Y. and Tsytovich, V. N. 1996 Phys. Plasmas 3, 4313.CrossRefGoogle Scholar
[47]Karpman, V. I. 1975 Nonlinear Waves in Dispersive Media. New York: Pergamon, 1975.Google Scholar