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

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 reductiv...

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Bibliographic Details
Published inJournal of plasma physics Vol. 89; no. 2
Main Authors Zhang, Heng, Chen, Yu-Xi, Wei, Lin, Wang, Fang-Ping, Zhang, Wei-Ping, Duan, Wen-Shan
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.04.2023
Subjects
Acoustics
Amplitudes
Dust
Dusty plasmas
High temperature
Korteweg-Devries equation
Numerical methods
Perturbation methods
Plasma
Plasma physics
Solitary waves
plasma simulation
dusty plasmas
plasma waves
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Summary: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.
ISSN:0022-3778
1469-7807
DOI:10.1017/S0022377823000296