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The Kadomtsev–Petviashvili (KP), MKP, and coupled KP equations for two-ion-temperature dusty plasmas

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  • Lin, Mai-mai
  • Duan, Wen-shan

Abstract

It is well known that the Korteweg–de Vires (KdV) equation can describe small but finite amplitude dust acoustic waves in a dusty plasmas. In this paper, we use the reductive perturbation method and derive a Kadomtsev–Petviashvili (KP) equation, a modified KP (MKP) equation and a coupled KP equation for unmagnetized, collisionless, cold, and two-ion-temperature dusty plasmas with N different species of dust grains. We find that if a solitary wave exist in this system, the smaller grains have larger velocities and propagate longer distances than that of larger particles. The comparisons are given between the dusty plasma composed by different dust particles and the mono-sized dusty plasma.

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  • Lin, Mai-mai & Duan, Wen-shan, 2005. "The Kadomtsev–Petviashvili (KP), MKP, and coupled KP equations for two-ion-temperature dusty plasmas," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 929-937.
    • Handle: RePEc:eee:chsofr:v:23:y:2005:i:3:p:929-937
    DOI: 10.1016/j.chaos.2004.06.003
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    Cited by:

    1. Pakzad, Hamid Reza, 2009. "Solitary waves of the Kadomstev–Petviashvili equation in warm dusty plasma with variable dust charge, two temperature ion and nonthermal electron," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 874-879.
    2. Zhao, Xiaoshan & Xu, Wei & Jia, Huabing & Zhou, Hongxian, 2007. "Solitary wave solutions for the modified Kadomtsev–Petviashvili equation," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 465-475.

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