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Instability and interaction of the nonlinear solitary waves in two-temperature-ion dusty plasma

Zhong Sheng-Ren

Instability and interaction of the nonlinear solitary waves in two-temperature-ion dusty plasma

Zhong Sheng-Ren
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  • Cited By: 0
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  • Received Date:  19 July 2009
  • Accepted Date:  17 August 2009
  • Published Online:  15 April 2010

Instability and interaction of the nonlinear solitary waves in two-temperature-ion dusty plasma

  • 1. 武威职业学院工程技术系,武威 733000

Abstract: For nonlinear dust acoustic waves in unmagnetized dusty plasma containing cold dust grains and isothermal electrons and ions, small but finite amplitude nonlinear waves are governed by the Korteweg de Veries (KdV) equation. For weakly two-dimensional dust acoustic solitary waves in a dusty plasma with variable dust charge and two-temperature ions, we obtain a Kadomtsev-Petviashvili equation under higher order transverse disturbances for this system. The interactions between two solitons and three solitons propagating in arbitrary directions are investigated. It is found that the maximum amplitude in the interaction region between two same——amplitude solitons is about four times that of a single soliton, while for three solitons the maximum amplitude is nine times that of a single soliton. It suggests that the transverse perturbations for the weakly nonlinear solitary waves in dusty plasma with variable dust charge and two-temperature ions are stable.

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