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Kadomtsev-Petviashvili (KP) Burgers equation in a dusty plasmas with non-adiabatic dust charge fluctuation

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Abstract.

The nonlinear dust acoustic waves in a dusty plasmas with the combined effects of non-adiabatic dust charge fluctuation and higher-order transverse perturbation are studied. Using the perturbation method, a Kadomtsev-Petviashvili (KP) Burgers equation that governing the dust acoustic waves is deduced for the first time. A particular solution of this KP Burgers equation is also obtained. It is show that the dust acoustic shock waves can exist in the KP Burgers equation.

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Authors and Affiliations

  1. College of Physics and Electronic Engineering, Northwest Normal University, 730070, Lanzhou, P.R. China

    J.-K. Xue

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  1. J.-K. Xue
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Correspondence to J.-K. Xue.

Additional information

Received: 18 March 2003, Published online: 15 July 2003

PACS:

52.35.Sb Solitons; BGK modes - 52.35.Mw Nonlinear phenomena: waves, and nonlinear wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.)

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Xue, JK. Kadomtsev-Petviashvili (KP) Burgers equation in a dusty plasmas with non-adiabatic dust charge fluctuation. Eur. Phys. J. D 26, 211–214 (2003). https://doi.org/10.1140/epjd/e2003-00210-x

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  • DOI: https://doi.org/10.1140/epjd/e2003-00210-x

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