Kadomtsev–Petviashvili equation for dust ion-acoustic solitons in pair-ion plasmas

doi:10.1088/1674-1056/22/3/035202

Abstract Using the reductive perturbation method, we have derived the Kadomtsev–Petviashvili (KP) equation to study the nonlinear properties of electrostatic collisionless dust ion-acoustic solitons in the pair-ion (p-i) plasmas. We have chosen the fluid model for the positive ions, the negative ions, and a fraction of static charged (both positively and negatively) dust particles. Numerical solutions of these dust ion-acoustic solitons are plotted and their characteristics are discussed. It is found that only the amplitudes of the electrostatic dust ion-acoustic solitons vary when the dust is introduced in the pair-ion plasma. It is also noticed that the amplitude and the width of these solitons both vary when the thermal energy of the positive or negative ions is varied. It is shown that potential hump structures are formed when the temperature of the negative ions is higher than that of the positive ions, and potential dip structures are observed when the temperature of the positive ions supersedes that of the negative ions. As the pair-ion plasma mimics the electron–positron plasma, thus our results might be helpful in understanding the nonlinear dust ion acoustic solitary waves in super dense astronomical bodies.

Keywords: charged and static dust particles pair-ion plasma soliton

Received: 26 July 2012
Revised: 05 September 2012
Accepted manuscript online:

PACS:	52.35.Fp	(Electrostatic waves and oscillations (e.g., ion-acoustic waves))
	52.35.Sb	(Solitons; BGK modes)
	52.27.Lw	(Dusty or complex plasmas; plasma crystals)

Corresponding Authors: Hafeez Ur-Rehman
E-mail: hafeezr@gmail.com

Cite this article:

Hafeez Ur-Rehman Kadomtsev–Petviashvili equation for dust ion-acoustic solitons in pair-ion plasmas 2013 Chin. Phys. B 22 035202

[1]	Surko C M, Leventhal M and Passner A 1989 Phys. Rev. Lett. 62 901
[2]	Greaves R G, Tinkle M D and Surko C M 1994 Phys. Plasmas 1 1439
[3]	Zhao J, Sakai J I and Nishikawa K 1996 Phys. Plasmas 3 844
[4]	Esfandyari-Kalejahi A, Kourakis I and Shukla P K 2006 Phys. Plasmas 13 122310
[5]	Ginzburg V L 1971 Sov. Phys. Usp. 14 83
[6]	Sturrock P A 1971 Ap. J. 164 529
[7]	Manchester R N and Taylor J H 1977 Pulsars (San Francisco: Freeman W. H.)
[8]	Michel F C 1982 Rev. Mod. Phys. 54 1
[9]	Michel F C 1991 Theory of Neutron Star Magnetospheres (Chicago: University of Chicago Press)
[10]	Miller H R and Witta P J 1987 Active Galactic Nuclei (Berlin: Springer-Verlag) p. 202
[11]	Gibbons G W, Hawking S W and Siklos S 1983 The Very Early Universe (Cambridge: Cambridge University Press)
[12]	Zank G P and Greaves R G 1995 Phys. Rev. E 51 6079
[13]	Oohara W and Hatakeyama R 2003 Phys. Rev. Lett. 91 205005
[14]	Oohara W, Date D and Hatakeyama R 2005 Phys. Rev. Lett. 95 175003
[15]	Mahmood S and Ur-Rehman H 2010 Phys. Plasmas 17 072305
[16]	Saleem H 2007 Phys. Plasmas 14 014505
[17]	Verheest F 2006 Phys. Plasmas 13 082301
[18]	Mahmood S, Khan S A and Ur-Rehman H 2010 Phys. Plasmas 17 112312
[19]	Saleem H, Shukla P K and Eliasson B 2008 Phys. Scr. 77 015503
[20]	Zheng J 2006 Chin. Phys. 15 1028
[21]	Zhao B and Zheng J 2007 Phys. Plasmas 14 062106
[22]	Abdelsalam U M 2010 Physica B 405 3914
[23]	Misra A P 2008 Phys. Plasmas 15 12
[24]	Mushtaq A, Saeed R and Haque Q 2009 Phys. Plasmas 16 8
[25]	Zhao B and Zheng J 2008 Phys. Plasmas 15 082314
[26]	Ur-Rehman H 2012 Chin. Phys. Lett. 29 065201
[27]	Shukla P K and Mamun A A 2002 Introduction to Dusty Plasma Physics (Bristol: Institute of Physics)
[28]	Washimi H and Tanuiti T 1966 Phys. Rev. Lett. 17 996
[29]	Ablowitz M J and Clarkson P A 1991 Solitons, Nonlinear Evolution and Inverse Scattering (Cambridge: Cambridge University Press)
[30]	Konopechenko B 1993 Solitons in Multidimensions, Inverse Spectral Transform Method (Singapore: World Scientific)
[31]	Kadomtsev B B and Petviashvili V I 1970 Soviet Physics Doklady 15 539
[32]	Krall N and Trivelpiece A W 1973 Principles of Plasma Physics (San Francisco: San Francisco Press)
[33]	Hatakeyama R and Oohara W 2005 Phys. Scr. T116 101
[34]	Malfliet W 1992 Am. J. Phys. 60 650
[35]	Mahmood S, Akhtar N and Khan S A 2012 J. Plasma Phys. 78 3
[36]	Kako M and Rowlands G 1976 Plasma Physics 18 165
[37]	Oohara W, Kuwabara Y and Hatakeyama R 2007 Phys. Rev. E 75 056403

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Kadomtsev–Petviashvili equation for dust ion-acoustic solitons in pair-ion plasmas

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