Abstract
Propagation regimes of an arbitrary amplitude dust acoustic solitary wave in a dusty plasma with an ion beam are analyzed by employing the Sagdeev potential technique. Two domains of the Mach numbers are defined depending on the ion beam and plasma parameters. Only a rarefactive soliton solution is found in a low velocity regime. Numerical solutions are presented that illustrate the dependence of soliton characteristics on practically interesting plasma and ion beam parameters. The findings of this investigation could be useful in understanding the nonlinear interaction of external ion beam and dusty plasma observed in laboratory plasma experiments.
Similar content being viewed by others
References
P.K. Shukla, A.A. Mamun, Introduction to Dusty Plasma Physics (IOP, Bristol, 2002), Chaps. 1 and 2
V. Vladmirov, K. Ostrikov, Phys. Rep. 393, 175 (2004)
P.K. Shukla, B.B. Eliasson, Rev. Mod. Phys. 81, 25 (2009)
N.N. Rao, P.K. Shukla, M.Y. Yu, Planet. Space Sci. 38, 543 (1990)
H. Washimi, T. Taniuti, Phys. Rev. Lett. 17, 996 (1966)
Y. Kodama, T. Taniuti, J. Phys. Soc. Jpn 45, 298 (1978)
Y. Kodama, J. Phys. Soc. Jpn 45, 311 (1978)
R.Z. Sagdeev, Review of Plasma Physics (New York Consultant Beruea, 1966), Vol. 4, p. 23
A.A. Mamun, R.A. Cairns, P.K. Shukla, Phys. Plasmas 3, 702 (1996)
B.S. Xie, K.F. Heb, Z.Q. Huang, Phys. Lett. A 247, 403 (1998)
A.A. Mamun, Astrophys. Space Sci. 268, 443 (1999)
F. Verheest, M.A. Hellberg, I. Kourakis, Phys. Plasmas 15, 112309 (2008)
A. Barkan, R.L. Merlino, N. D’Angelo, Phys. Plasmas 2, 3563 (1995)
C.M. Ticoş, I. Jepu, C.P. Lungu, P. Chiru, V. Zaroschi, CPl 188: ICTP Summer College on Plasma Physics (Trieste, Italy, 2009), pp. 74–82
R.L. Merlino, Phys. Plasmas 16, 124501 (2009)
Y.N. Nejoh, Aust. J. Phys. 52, 37 (1999)
A.V. Ivlev, G. Morfill, Phys. Rev. E, 63, 026412 (2001)
S.K. El-Labany, W.F. El-Taibany, Phys. Plasmas 10, 989 (2003)
Y. Wang, Z.X. Zhou, X.Q. Jiang, X.D. Ni, Y. Zhang, J. Shen, P. Qian, Phys. Lett. A 373, 2944 (2009)
B. Das, D. Ghosh, P. Chatterjee, Pramana J. Phys. 74, 973 (2010)
A. Melzer, A. Homann, A. Piel, Phys. Rev. E 53, 2757 (1996)
Y. Nakamura, Phys. Plasmas 8, 5086 (2001)
T. Murakami, M. Sawai, T. Misawa, N. Ohno, S. Takamura, CP669: Plasma Physics, 11th International Congress on Plasma Physics (Sidney, Australia, ICPP, 2002), pp. 101–104
H. Kersten, R. Wiese, G. Thieme, M. Fröhlich, A. Kopitov, D. Bojic, F. Scholze, H. Neumann, M. Quaas, H. Wulff, R. Hippler, New J. Phys. 5, 93 (2003)
A. Sarma, Y. Saitou, R. Schrittwieser, Y. Nakamura, Plasma Phys. Control. Fusion 47, 1415 (2005)
H. Kersten, R. Wiese, H. Neumann, R. Hippler, Plasma Phys. Control. Fusion 48, B105 (2006)
H. Kersten, R. Wiese, M. Hannemann, A. Kapitov, F. Scholze, H. Neumann, R. Hippler, Surf. Coat. Technol. 200, 809 (2005)
M. Bonitz, N. Horing, P. Ludwig, Introduction to Complex Plasmas, Springer Series on Atomic, Optical, and Plasma Physics (Berlin, 2010), Vol. 59, Chap. 16
J.H. Chu, J.B. Du, I. Lin, J. Phys. D 27, 296 (1994)
H. Sugai, T.H. Ahn, I. Ghanashev, M. Goto, M. Nagatsu, K. Nakamura, K. Suzuki, H. Toyoda, Plasma Phys. Control. Fusion 39, 445 (1997)
Y.N. Nejoh, IEEE Trans. Plasma Sci. 25, 492 (1997)
M. Rosenberg, Planet. Space Sci. 41, 229 (1993)
T.S. Basha, A. Abbas, Eur. J. Phys. 10, 151 (1989)
D. Winske, M.E. Jones, IEEE Trans. Plasma Sci. 23, 188 (1995)
L. Couëdel, A. Mezeghrane, A.A. Samarian, M. Mikikian, Y. Tessier, M. Cavarroc, L. Boufendi, Contrib. Plasma Phys. 49, 235 (2009)
W.F. El-Taibany, I. Kourakis, Miki Wadati, Plasma Phys. Control. Fusion 50, 074003 (2008)
W.F. El-Taibany, Miki Wadati, Phys. Plasmas 14, 103703 (2007)
S.S. Ghosh, K.K. Ghosh, A.N.S. Lyengar, Phys. Plasmas 3, 3939 (1996)
A.E. Dubinov, J. Appl. Mech. Tech. Phys. 48, 621 (2007)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
El-Labany, S.K., El-Taibany, W.F., El-Bedwehy, N.A. et al. Arbitrary amplitude dust acoustic solitary waves in a dusty plasma with an ion beam. Eur. Phys. J. D 64, 375–386 (2011). https://doi.org/10.1140/epjd/e2011-20135-y
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjd/e2011-20135-y