多离子尘埃等离子体中的平面和非平面孤子

IF 0.6 4区 工程技术 Q4 Engineering
F. Deeba, K. Islam, Abdullah Al Mamun
{"title":"多离子尘埃等离子体中的平面和非平面孤子","authors":"F. Deeba, K. Islam, Abdullah Al Mamun","doi":"10.18034/ei.v7i2.474","DOIUrl":null,"url":null,"abstract":"A rigorous theoretical investigation has been made on nonlinear dust-ion-acoustic (DIA) solitary waves (SWs) in a multi-ion dusty plasma system, consisting of inertial positive and negative ions, and arbitrary charged stationary dust. The dust particles have been considered as arbitrarily (either positively or negatively) charged in order to observe the effects of dust polarity on the DIA SWs. Three different approaches (K-dV (Korteweg-de Vries), mK-dV (mixed K-dV), and Gardner) have been employed to analysis the entire regime. The reductive perturbation method has been employed in all these three approaches. Using reductive perturbation method, we first derive K-dV equation which let us to analyze both types (bright and dark) of solitons, but, in a very limited region. After that mK-dV equation has been derived which let us analyze bright soliton for a large region, but cannot show the dark soliton. Finally, we have derived the Gardner equation employing the same method, through which we were able to analyze both the bright and dark solitons for a large region. We also employed the modified Gardner (mG) equation to observe the effects of nonplanar geometry as well as time evolution of SWs. It has been found that both the positive and negative solitons depend on the ion number density of the ions, dust polarity, temperature, as well as time scale. It is also shown that the properties of the nonplanar (cylindrical and spherical) DIA-GSs are significantly different from those of the one dimensional planar ones.","PeriodicalId":49736,"journal":{"name":"Nuclear Engineering International","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2019-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Planar and Nonplanar Solitons in Multi-Ion Dusty Plasma\",\"authors\":\"F. Deeba, K. Islam, Abdullah Al Mamun\",\"doi\":\"10.18034/ei.v7i2.474\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A rigorous theoretical investigation has been made on nonlinear dust-ion-acoustic (DIA) solitary waves (SWs) in a multi-ion dusty plasma system, consisting of inertial positive and negative ions, and arbitrary charged stationary dust. The dust particles have been considered as arbitrarily (either positively or negatively) charged in order to observe the effects of dust polarity on the DIA SWs. Three different approaches (K-dV (Korteweg-de Vries), mK-dV (mixed K-dV), and Gardner) have been employed to analysis the entire regime. The reductive perturbation method has been employed in all these three approaches. Using reductive perturbation method, we first derive K-dV equation which let us to analyze both types (bright and dark) of solitons, but, in a very limited region. After that mK-dV equation has been derived which let us analyze bright soliton for a large region, but cannot show the dark soliton. Finally, we have derived the Gardner equation employing the same method, through which we were able to analyze both the bright and dark solitons for a large region. We also employed the modified Gardner (mG) equation to observe the effects of nonplanar geometry as well as time evolution of SWs. It has been found that both the positive and negative solitons depend on the ion number density of the ions, dust polarity, temperature, as well as time scale. It is also shown that the properties of the nonplanar (cylindrical and spherical) DIA-GSs are significantly different from those of the one dimensional planar ones.\",\"PeriodicalId\":49736,\"journal\":{\"name\":\"Nuclear Engineering International\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2019-07-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nuclear Engineering International\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.18034/ei.v7i2.474\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nuclear Engineering International","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.18034/ei.v7i2.474","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0

摘要

本文对由惯性正负离子和任意带电静止尘埃组成的多离子尘埃等离子体系统中的非线性尘埃-离子-声(DIA)孤立波进行了严密的理论研究。为了观察尘埃极性对DIA SWs的影响,将尘埃颗粒视为任意(正电或负电)带电。三种不同的方法(K-dV (Korteweg-de Vries), mK-dV(混合K-dV)和Gardner)被用来分析整个体系。这三种方法都采用了约化摄动法。利用约化微扰法,我们首先推导出K-dV方程,该方程使我们能够分析两种类型的孤子(亮孤子和暗孤子),但是,在一个非常有限的区域。在此基础上推导出mK-dV方程,该方程可以分析大范围内的亮孤子,但不能显示暗孤子。最后,我们用同样的方法推导出了加德纳方程,通过它我们可以分析大范围内的亮孤子和暗孤子。我们还利用修正的Gardner (mG)方程观察了非平面几何形状和时间演化对SWs的影响。研究发现,正孤子和负孤子都与离子的离子数密度、尘埃极性、温度和时间尺度有关。研究还表明,非平面(圆柱形和球形)DIA-GSs的性能与一维平面DIA-GSs的性能有显著差异。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Planar and Nonplanar Solitons in Multi-Ion Dusty Plasma
A rigorous theoretical investigation has been made on nonlinear dust-ion-acoustic (DIA) solitary waves (SWs) in a multi-ion dusty plasma system, consisting of inertial positive and negative ions, and arbitrary charged stationary dust. The dust particles have been considered as arbitrarily (either positively or negatively) charged in order to observe the effects of dust polarity on the DIA SWs. Three different approaches (K-dV (Korteweg-de Vries), mK-dV (mixed K-dV), and Gardner) have been employed to analysis the entire regime. The reductive perturbation method has been employed in all these three approaches. Using reductive perturbation method, we first derive K-dV equation which let us to analyze both types (bright and dark) of solitons, but, in a very limited region. After that mK-dV equation has been derived which let us analyze bright soliton for a large region, but cannot show the dark soliton. Finally, we have derived the Gardner equation employing the same method, through which we were able to analyze both the bright and dark solitons for a large region. We also employed the modified Gardner (mG) equation to observe the effects of nonplanar geometry as well as time evolution of SWs. It has been found that both the positive and negative solitons depend on the ion number density of the ions, dust polarity, temperature, as well as time scale. It is also shown that the properties of the nonplanar (cylindrical and spherical) DIA-GSs are significantly different from those of the one dimensional planar ones.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Nuclear Engineering International
Nuclear Engineering International 工程技术-核科学技术
自引率
0.00%
发文量
0
审稿时长
6-12 weeks
期刊介绍: Information not localized
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信