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Solitary waves in dusty plasmas with variable dust charge and two temperature ions

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  • Pakzad, Hamid Reza
  • Javidan, Kurosh

Abstract

Propagation of nonlinear waves in dusty plasmas with variable dust charge and two temperature ions is analyzed. The Kadomtsev–Petviashivili (KP) equation is derived by using the reductive perturbation theory. A Sagdeev potential for this system has been proposed. This potential is used to study the stability conditions and existence of solitonic solutions. Also, it is shown that a rarefactive soliton can be propagates in most of the cases. The soliton energy has been calculated and a linear dispersion relation has been obtained using the standard normal-modes analysis. The effects of variable dust charge on the amplitude, width and energy of the soliton and its effects on the angular frequency of linear wave are discussed too. It is shown that the amplitude of solitary waves of KP equation diverges at critical values of plasma parameters. Solitonic solutions of modified KP equation with finite amplitude in this situation are derived.

Suggested Citation

  • Pakzad, Hamid Reza & Javidan, Kurosh, 2009. "Solitary waves in dusty plasmas with variable dust charge and two temperature ions," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2904-2913.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:5:p:2904-2913
    DOI: 10.1016/j.chaos.2009.04.031
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    References listed on IDEAS

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    1. Lin, Mai-mai & Duan, Wen-shan, 2007. "Dust acoustic solitary waves in a dusty plasmas with nonthermal ions," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1189-1196.
    2. Xue, Ju-Kui & Zhang, Li-Ping, 2007. "Non-linear waves in complex plasma," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 592-597.
    3. Gill, Tarsem Singh & Saini, Nareshpal Singh & Kaur, Harvinder, 2006. "The Kadomstev–Petviashvili equation in dusty plasma with variable dust charge and two temperature ions," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 1106-1111.
    4. Shalaby, M. & El-Labany, S.K. & El-Shamy, E.F. & El-Sherif, L.S., 2009. "Dust-ion-acoustic solitary waves in a two-temperature electrons with charge fluctuations in a dusty plasma," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1208-1217.
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    Cited by:

    1. Shahein, R.A. & El-Shehri, Jawaher H., 2019. "Bifurcation analysis of dissipative rogue wave in electron-positron-ion plasma with relativistic ions and superthermal electrons," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 114-122.
    2. Seadawy, Aly R., 2015. "Nonlinear wave solutions of the three-dimensional Zakharov–Kuznetsov–Burgers equation in dusty plasma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 439(C), pages 124-131.
    3. Seadawy, Aly R. & Iqbal, Mujahid & Lu, Dianchen, 2020. "Propagation of kink and anti-kink wave solitons for the nonlinear damped modified Korteweg–de Vries equation arising in ion-acoustic wave in an unmagnetized collisional dusty plasma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 544(C).

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