Solitary and shocklike wave solutions for the Gardner equation in dusty plasmas

Journal of Taibah University for Science

F. M. Allehiany¹  M. M. Fares²  U. M. Abdelsalam²  M. S. Zobaer³ 

[1] Department of Mathematics, Faculty of Applied Sciences, Umm Al-Qura University;Department of Mathematics, Rustaq College of Education, Ministry of Higher Education;School of Neurology, McGovern Medical School, The University of Texas Health Science Center at Houston;

关键词: dusty plasma;    gardner equation;    extended tanh method;   

DOI  :  10.1080/16583655.2020.1776465

来源: DOAJ

【 摘 要 】

The propagation of dust ion acoustic waves (DIAWs) for two-temperature ions with isothermal electrons in dusty plasmas has been investigated. Using the reductive perturbation method, the Gardner equation is derived. Many analytical solutions have been presented for small but finite amplitude acoustic waves, e.g. solitary and shocklike waves. The effects of many parameters on the feature of the shocklike waves have been studied for the dusty plasma system. The results of this study could be helpful for understanding the existence of nonlinear potential structures those are observed in various cosmic dust-laden plasmas, such as Saturn's E-ring, noctilucent clouds, Halley's comet and interstellar molecular clouds.

【 授权许可】

Unknown