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

Autor:	Heng Zhang, Yu-Xi Chen, Lin Wei, Fang-Ping Wang, Wei-Ping Zhang, Wen-Shan Duan
Rok vydání:	2023
Předmět:	Condensed Matter Physics
Zdroj:	Journal of Plasma Physics. 89
ISSN:	1469-7807 0022-3778
DOI:	10.1017/s0022377823000296
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::11f363f3b55ed18f7a0f540359dfac82 https://doi.org/10.1017/s0022377823000296 Zobrazit plný text záznamu