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Chin. Phys. B, 2013, Vol. 22(3): 035202    DOI: 10.1088/1674-1056/22/3/035202

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

Hafeez Ur-Rehman
Theoretical Plasma Physics Division, PINSTECH, P.O. Nilore, Islamabad, Pakistan;Department of Physics and Applied Mathematics, PIEAS, P.O. Nilore, Islamabad, Pakistan
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:

Cite this article: 

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

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