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Application scope of the reductive perturbation method to derive the KdV equation and CKdV equation in dusty plasma

Published online by Cambridge University Press:  17 April 2023

Heng Zhang ,
Yu-Xi Chen Open the ORCID record for Yu-Xi Chen [Opens in a new window] ,
Lin Wei Open the ORCID record for Lin Wei [Opens in a new window] ,
Fang-Ping Wang ,
Wei-Ping Zhang Open the ORCID record for Wei-Ping Zhang [Opens in a new window]  and
Wen-Shan Duan
Heng Zhang*
Affiliation:
College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, PR China
Yu-Xi Chen
Affiliation:
College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, PR China
Lin Wei
Affiliation:
College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, PR China
Fang-Ping Wang
Affiliation:
College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, PR China
Wei-Ping Zhang
Affiliation:
College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, PR China
Wen-Shan Duan*
Affiliation:
College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, PR China
*
†Email addresses for correspondence: zhangheng@nwnu.edu.cn, duanws@nwnu.edu.cn
†Email addresses for correspondence: zhangheng@nwnu.edu.cn, duanws@nwnu.edu.cn
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Abstract

The application scopes of two different reductive perturbation methods to derive the Korteweg–de Vries (KdV) equation and coupled KdV (CKdV) equation in two-temperature-ion dusty plasma are given by using the particle-in-cell (PIC) numerical method in the present paper. It suggests that the reductive perturbation method (RPM) is valid if the amplitude of the CKdV solitary wave is small enough. However, for the KdV solitary wave, RPM is valid not only if the amplitude of the KdV solitary wave is small enough, but also if the nonlinear coefficient of the KdV equation is not tending to zero.

Keywords

dusty plasmasplasma wavesplasma simulation
Type
Research Article
Information
Journal of Plasma Physics , Volume 89 , Issue 2 , April 2023 , 905890212
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Copyright
Copyright © The Author(s), 2023. Published by Cambridge University Press

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