Waves propagation of optical waves through nonlinear media; modified Kawahara equation
The focus of this study is to investigate novel and precise solitary wave solutions of the modified Kawahara (MK) equation using recent and accurate computational techniques. The MK equation, a nonlinear partial differential equation, has significant applications in various fields, including fluid d...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-09-01
|
| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723005892 |
| _version_ | 1797682852973772800 |
|---|---|
| author | Mostafa M.A. Khater Youbing Xia Xiao Zhang Raghda A.M. Attia |
| author_facet | Mostafa M.A. Khater Youbing Xia Xiao Zhang Raghda A.M. Attia |
| author_sort | Mostafa M.A. Khater |
| collection | DOAJ |
| description | The focus of this study is to investigate novel and precise solitary wave solutions of the modified Kawahara (MK) equation using recent and accurate computational techniques. The MK equation, a nonlinear partial differential equation, has significant applications in various fields, including fluid dynamics and plasma physics The comprehension of nonlinear wave phenomena relies heavily on solitary wave solutions, making it necessary to develop accurate and efficient computational techniques for their identification. In this study, the Khater II method is employed as a computational technique, while the variational iteration method is used as a numerical scheme.The Khater II method is a powerful computational technique that has exhibited promising outcomes in solving nonlinear wave equations. It uses an analytical framework to transform the partial differential equation into a set of ordinary differential equations that are amenable to straightforward solutions, thereby enabling the construction of exact solutions. Conversely, the variational iteration method is a numerical scheme that enhances solution accuracy through iterative approximations.By using the Khater II method as a computational technique and the variational iteration method as a numerical scheme, this study identifies novel and precise solitary wave solutions of the MK equation. These solutions provide valuable insights into the dynamics and behavior of nonlinear waves across various applications. The effectiveness of the employed techniques is demonstrated by comparing them with other commonly utilized computational methods for solving the MK equation. The results indicate that the combined application of the Khater II method and the variational iteration method yields more accurate and efficient solutions. This heightened accuracy and efficiency are critical for comprehending and predicting the behavior of the studied model in real-world applications. Thus, this study underscores the significance of employing recent and accurate computational techniques, such as the Khater II method and the variational iteration method, to identify novel and precise solitary wave solutions of the MK equation. The obtained solutions contribute to an improved understanding of the model’s behavior and hold practical implications across diverse scientific and engineering domains. |
| first_indexed | 2024-03-12T00:05:54Z |
| format | Article |
| id | doaj.art-1d7591cec4134634aa611399bb7d7b65 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-12T00:05:54Z |
| publishDate | 2023-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-1d7591cec4134634aa611399bb7d7b652023-09-17T04:56:15ZengElsevierResults in Physics2211-37972023-09-0152106796Waves propagation of optical waves through nonlinear media; modified Kawahara equationMostafa M.A. Khater0Youbing Xia1Xiao Zhang2Raghda A.M. Attia3School of Medical Informatics and Engineering, Xuzhou Medical University, 209 Tongshan Road, 221004, Xuzhou, Jiangsu Province, PR China; Department of Basic Science, Obour High Institute for Engineering and Technology, 11828, Cairo, Egypt; Corresponding author at: School of Medical Informatics and Engineering, Xuzhou Medical University, 209 Tongshan Road, 221004, Xuzhou, Jiangsu Province, PR China.School of Medical Informatics and Engineering, Xuzhou Medical University, 209 Tongshan Road, 221004, Xuzhou, Jiangsu Province, PR China; Key Laboratory of Acupuncture and Medicine Research of Ministry of Education, Nanjing University of Chinese Medicine, Nanjing, 210023, ChinaSchool of Medical Informatics and Engineering, Xuzhou Medical University, 209 Tongshan Road, 221004, Xuzhou, Jiangsu Province, PR ChinaSchool of Medical Informatics and Engineering, Xuzhou Medical University, 209 Tongshan Road, 221004, Xuzhou, Jiangsu Province, PR China; Department of Basic Science, Higher Technological Institute 10th of Ramadan City, El Sharqia 44634, EgyptThe focus of this study is to investigate novel and precise solitary wave solutions of the modified Kawahara (MK) equation using recent and accurate computational techniques. The MK equation, a nonlinear partial differential equation, has significant applications in various fields, including fluid dynamics and plasma physics The comprehension of nonlinear wave phenomena relies heavily on solitary wave solutions, making it necessary to develop accurate and efficient computational techniques for their identification. In this study, the Khater II method is employed as a computational technique, while the variational iteration method is used as a numerical scheme.The Khater II method is a powerful computational technique that has exhibited promising outcomes in solving nonlinear wave equations. It uses an analytical framework to transform the partial differential equation into a set of ordinary differential equations that are amenable to straightforward solutions, thereby enabling the construction of exact solutions. Conversely, the variational iteration method is a numerical scheme that enhances solution accuracy through iterative approximations.By using the Khater II method as a computational technique and the variational iteration method as a numerical scheme, this study identifies novel and precise solitary wave solutions of the MK equation. These solutions provide valuable insights into the dynamics and behavior of nonlinear waves across various applications. The effectiveness of the employed techniques is demonstrated by comparing them with other commonly utilized computational methods for solving the MK equation. The results indicate that the combined application of the Khater II method and the variational iteration method yields more accurate and efficient solutions. This heightened accuracy and efficiency are critical for comprehending and predicting the behavior of the studied model in real-world applications. Thus, this study underscores the significance of employing recent and accurate computational techniques, such as the Khater II method and the variational iteration method, to identify novel and precise solitary wave solutions of the MK equation. The obtained solutions contribute to an improved understanding of the model’s behavior and hold practical implications across diverse scientific and engineering domains.http://www.sciencedirect.com/science/article/pii/S2211379723005892Kawahara equationSolitary wave solutionsKhater II methodVariational iteration method |
| spellingShingle | Mostafa M.A. Khater Youbing Xia Xiao Zhang Raghda A.M. Attia Waves propagation of optical waves through nonlinear media; modified Kawahara equation Results in Physics Kawahara equation Solitary wave solutions Khater II method Variational iteration method |
| title | Waves propagation of optical waves through nonlinear media; modified Kawahara equation |
| title_full | Waves propagation of optical waves through nonlinear media; modified Kawahara equation |
| title_fullStr | Waves propagation of optical waves through nonlinear media; modified Kawahara equation |
| title_full_unstemmed | Waves propagation of optical waves through nonlinear media; modified Kawahara equation |
| title_short | Waves propagation of optical waves through nonlinear media; modified Kawahara equation |
| title_sort | waves propagation of optical waves through nonlinear media modified kawahara equation |
| topic | Kawahara equation Solitary wave solutions Khater II method Variational iteration method |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723005892 |
| work_keys_str_mv | AT mostafamakhater wavespropagationofopticalwavesthroughnonlinearmediamodifiedkawaharaequation AT youbingxia wavespropagationofopticalwavesthroughnonlinearmediamodifiedkawaharaequation AT xiaozhang wavespropagationofopticalwavesthroughnonlinearmediamodifiedkawaharaequation AT raghdaamattia wavespropagationofopticalwavesthroughnonlinearmediamodifiedkawaharaequation |