Dynamical behavior of the fractional nonlinear Kadoma equation in plasma physics and optics

IF 1.8 4区 物理与天体物理 Q3 PHYSICS, APPLIED Modern Physics Letters B Pub Date : 2024-06-07 DOI:10.1142/s0217984924504347
W. Mohammed, Naveed H. Iqbal, R. Sidaoui, Ekram E. Ali
{"title":"Dynamical behavior of the fractional nonlinear Kadoma equation in plasma physics and optics","authors":"W. Mohammed, Naveed H. Iqbal, R. Sidaoui, Ekram E. Ali","doi":"10.1142/s0217984924504347","DOIUrl":null,"url":null,"abstract":"The nonlinear Kadoma equation with M-truncated derivatives (NLKE-MTD) is taken into consideration here. By using generalized Riccati equation method (GRE method) and Jacobi elliptic function method, new hyperbolic, rational, trigonometric and elliptic solutions are discovered. Because the NLKE is widely employed in optics, fluid dynamics and plasma physics, the resulting solutions may be used to analyze a wide variety of important physical phenomena. The dynamic behaviors of the different derived solutions are interpreted using 3D and 2D graphs to explain the effects of M-truncated derivatives. We may conclude that the surface moves to the right as the order of M-truncated derivatives increases.","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":null,"pages":null},"PeriodicalIF":1.8000,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Modern Physics Letters B","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1142/s0217984924504347","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, APPLIED","Score":null,"Total":0}
引用次数: 0

Abstract

The nonlinear Kadoma equation with M-truncated derivatives (NLKE-MTD) is taken into consideration here. By using generalized Riccati equation method (GRE method) and Jacobi elliptic function method, new hyperbolic, rational, trigonometric and elliptic solutions are discovered. Because the NLKE is widely employed in optics, fluid dynamics and plasma physics, the resulting solutions may be used to analyze a wide variety of important physical phenomena. The dynamic behaviors of the different derived solutions are interpreted using 3D and 2D graphs to explain the effects of M-truncated derivatives. We may conclude that the surface moves to the right as the order of M-truncated derivatives increases.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
等离子物理学和光学中分数非线性卡多玛方程的动力学行为
这里考虑的是带 M 截断导数的非线性卡多马方程(NLKE-MTD)。通过使用广义里卡提方程法(GRE 法)和雅可比椭圆函数法,发现了新的双曲、有理、三角和椭圆解。由于 NLKE 广泛应用于光学、流体动力学和等离子体物理学,因此所得到的解可用于分析各种重要的物理现象。我们使用三维和二维图形解释了不同导出解的动态行为,以解释 M 截断导数的影响。我们可以得出这样的结论:随着 M 截断导数阶数的增加,表面会向右移动。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
Modern Physics Letters B
Modern Physics Letters B 物理-物理:凝聚态物理
CiteScore
3.70
自引率
10.50%
发文量
235
审稿时长
5.9 months
期刊介绍: MPLB opens a channel for the fast circulation of important and useful research findings in Condensed Matter Physics, Statistical Physics, as well as Atomic, Molecular and Optical Physics. A strong emphasis is placed on topics of current interest, such as cold atoms and molecules, new topological materials and phases, and novel low-dimensional materials. The journal also contains a Brief Reviews section with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.
期刊最新文献
An appropriate statistical approach for non-equilibrium particle production Analytical analysis of 2D couple stress flow of blood base nanofluids with the influence of viscous dissipation over a stretching surface Thermal improvement of the porous system through numerical solution of nanofluid under the existence of activation energy and Lorentz force A novel study of analytical solutions of some important nonlinear fractional differential equations in fluid dynamics Unsteady MHD dusty fluid flow over a non-isothermal cone embedded in a porous medium
×
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
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 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 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1