Stability of dust ion acoustic solitary waves in a collisionless unmagnetized nonthermal plasma in presence of isothermal positrons
Abstract
A threedimensional KP (Kadomtsev Petviashvili) equation is derived here describing the propagation of weakly nonlinear and weakly dispersive dust ion acoustic wave in a collisionless unmagnetized plasma consisting of warm adiabatic ions, static negatively charged dust grains, nonthermal electrons, and isothermal positrons. When the coefficient of the nonlinear term of the KPequation vanishes an appropriate modified KP (MKP) equation describing the propagation of dust ion acoustic wave is derived. Again when the coefficient of the nonlinear term of this MKP equation vanishes, a further modified KP equation is derived. Finally, the stability of the solitary wave solutions of the KP and the different modified KP equations are investigated by the smallk perturbation expansion method of Rowlands and Infeld [J. Plasma Phys. 3, 567 (1969); 8, 105 (1972); 10, 293 (1973); 33, 171 (1985); 41, 139 (1989); Sov. Phys.  JETP 38, 494 (1974)] at the lowest order of k, where k is the wave number of a longwavelength planewave perturbation. The solitary wave solutions of the different evolution equations are found to be stable at this order.
 Authors:
 Department of Mathematics, Jadavpur University, Kolkata 700032 (India)
 Department of Applied Mathematics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700009 (India)
 Publication Date:
 OSTI Identifier:
 22600065
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Plasmas; Journal Volume: 23; Journal Issue: 7; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; COLLISIONLESS PLASMA; DISTURBANCES; DUSTS; ELECTRONS; EQUATIONS; ION ACOUSTIC WAVES; IONS; NONLINEAR PROBLEMS; PERTURBATION THEORY; POSITRONS; SOLUTIONS; STABILITY; THREEDIMENSIONAL CALCULATIONS; WAVE PROPAGATION; WAVELENGTHS
Citation Formats
Sardar, Sankirtan, Bandyopadhyay, Anup, Email: abandyopadhyay1965@gmail.com, and Das, K. P.. Stability of dust ion acoustic solitary waves in a collisionless unmagnetized nonthermal plasma in presence of isothermal positrons. United States: N. p., 2016.
Web. doi:10.1063/1.4956462.
Sardar, Sankirtan, Bandyopadhyay, Anup, Email: abandyopadhyay1965@gmail.com, & Das, K. P.. Stability of dust ion acoustic solitary waves in a collisionless unmagnetized nonthermal plasma in presence of isothermal positrons. United States. doi:10.1063/1.4956462.
Sardar, Sankirtan, Bandyopadhyay, Anup, Email: abandyopadhyay1965@gmail.com, and Das, K. P.. 2016.
"Stability of dust ion acoustic solitary waves in a collisionless unmagnetized nonthermal plasma in presence of isothermal positrons". United States.
doi:10.1063/1.4956462.
@article{osti_22600065,
title = {Stability of dust ion acoustic solitary waves in a collisionless unmagnetized nonthermal plasma in presence of isothermal positrons},
author = {Sardar, Sankirtan and Bandyopadhyay, Anup, Email: abandyopadhyay1965@gmail.com and Das, K. P.},
abstractNote = {A threedimensional KP (Kadomtsev Petviashvili) equation is derived here describing the propagation of weakly nonlinear and weakly dispersive dust ion acoustic wave in a collisionless unmagnetized plasma consisting of warm adiabatic ions, static negatively charged dust grains, nonthermal electrons, and isothermal positrons. When the coefficient of the nonlinear term of the KPequation vanishes an appropriate modified KP (MKP) equation describing the propagation of dust ion acoustic wave is derived. Again when the coefficient of the nonlinear term of this MKP equation vanishes, a further modified KP equation is derived. Finally, the stability of the solitary wave solutions of the KP and the different modified KP equations are investigated by the smallk perturbation expansion method of Rowlands and Infeld [J. Plasma Phys. 3, 567 (1969); 8, 105 (1972); 10, 293 (1973); 33, 171 (1985); 41, 139 (1989); Sov. Phys.  JETP 38, 494 (1974)] at the lowest order of k, where k is the wave number of a longwavelength planewave perturbation. The solitary wave solutions of the different evolution equations are found to be stable at this order.},
doi = {10.1063/1.4956462},
journal = {Physics of Plasmas},
number = 7,
volume = 23,
place = {United States},
year = 2016,
month = 7
}

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