Bifurcation analysis on ion sound and Langmuir solitary waves solutions to the stochastic models with multiplicative noises
This article explores on a stochastic couple models of ion sound as well as Langmuir surges propagation involving multiplicative noises. We concentrate on the analytical stochastic solutions including the travelling and solitary waves by using the planner dynamical systematic approach. To apply the...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-06-01
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| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844023037775 |
| _version_ | 1797811034744946688 |
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| author | Fahad Sameer Alshammari Harun-Or- Roshid Md Asif Md Fazlul Hoque Abdullah Aldurayhim |
| author_facet | Fahad Sameer Alshammari Harun-Or- Roshid Md Asif Md Fazlul Hoque Abdullah Aldurayhim |
| author_sort | Fahad Sameer Alshammari |
| collection | DOAJ |
| description | This article explores on a stochastic couple models of ion sound as well as Langmuir surges propagation involving multiplicative noises. We concentrate on the analytical stochastic solutions including the travelling and solitary waves by using the planner dynamical systematic approach. To apply the method, First effort is to convert the system of equations into the ordinary differential form and present it in form of a dynamic structure. Next analyze the nature of the critical points of the system and obtain the phase portraits on various conditions of the corresponding parameters. The analytic solutions of the system in an account of distinct energy states for each phase orbit are performed. We also show how the results are highly effective and interesting to realize their exciting physical as well as the geometrical phenomena based on the demonstration of the stochastic system involving ion sound as well as Langmuir surges. Descriptions of effectiveness of the multiplicative noise on the obtained solutions of the model, and its corresponding figures are demonstrated numerically. |
| first_indexed | 2024-03-13T07:17:41Z |
| format | Article |
| id | doaj.art-04ff584802d4467e85d161dbf9d2d77e |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-03-13T07:17:41Z |
| publishDate | 2023-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-04ff584802d4467e85d161dbf9d2d77e2023-06-05T04:12:57ZengElsevierHeliyon2405-84402023-06-0196e16570Bifurcation analysis on ion sound and Langmuir solitary waves solutions to the stochastic models with multiplicative noisesFahad Sameer Alshammari0Harun-Or- Roshid1Md Asif2Md Fazlul Hoque3Abdullah Aldurayhim4Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Alkharj, 11942, Saudi Arabia; Corresponding author.Department of Mathematics, Pabna University of Science and Technology, Bangladesh; Corresponding author.Department of Mathematics, Pabna University of Science and Technology, BangladeshDepartment of Mathematics, Pabna University of Science and Technology, Bangladesh; Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University, Brehova 7, 115 19 1, Czech RepublicDepartment of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Alkharj, 11942, Saudi ArabiaThis article explores on a stochastic couple models of ion sound as well as Langmuir surges propagation involving multiplicative noises. We concentrate on the analytical stochastic solutions including the travelling and solitary waves by using the planner dynamical systematic approach. To apply the method, First effort is to convert the system of equations into the ordinary differential form and present it in form of a dynamic structure. Next analyze the nature of the critical points of the system and obtain the phase portraits on various conditions of the corresponding parameters. The analytic solutions of the system in an account of distinct energy states for each phase orbit are performed. We also show how the results are highly effective and interesting to realize their exciting physical as well as the geometrical phenomena based on the demonstration of the stochastic system involving ion sound as well as Langmuir surges. Descriptions of effectiveness of the multiplicative noise on the obtained solutions of the model, and its corresponding figures are demonstrated numerically.http://www.sciencedirect.com/science/article/pii/S2405844023037775BifurcationIon sound and Langmuir waveStochastic modelMultiplicative noise |
| spellingShingle | Fahad Sameer Alshammari Harun-Or- Roshid Md Asif Md Fazlul Hoque Abdullah Aldurayhim Bifurcation analysis on ion sound and Langmuir solitary waves solutions to the stochastic models with multiplicative noises Heliyon Bifurcation Ion sound and Langmuir wave Stochastic model Multiplicative noise |
| title | Bifurcation analysis on ion sound and Langmuir solitary waves solutions to the stochastic models with multiplicative noises |
| title_full | Bifurcation analysis on ion sound and Langmuir solitary waves solutions to the stochastic models with multiplicative noises |
| title_fullStr | Bifurcation analysis on ion sound and Langmuir solitary waves solutions to the stochastic models with multiplicative noises |
| title_full_unstemmed | Bifurcation analysis on ion sound and Langmuir solitary waves solutions to the stochastic models with multiplicative noises |
| title_short | Bifurcation analysis on ion sound and Langmuir solitary waves solutions to the stochastic models with multiplicative noises |
| title_sort | bifurcation analysis on ion sound and langmuir solitary waves solutions to the stochastic models with multiplicative noises |
| topic | Bifurcation Ion sound and Langmuir wave Stochastic model Multiplicative noise |
| url | http://www.sciencedirect.com/science/article/pii/S2405844023037775 |
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