Analytical and numerical solutions with bifurcation analysis for the nonlinear evolution equation in (2+1)-dimensions
This paper is focused on the nonlinear evolution equation in (2+1)-dimensions which is found in different engineering and scientific areas. Many sets of exact soliton solutions of the nonlinear evolution equation in (2+1)-dimensions are presented via two analytical methods such as the Kudryashov met...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-06-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723002887 |
| _version_ | 1797814444483411968 |
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| author | Khalid K. Ali M.S. Mehanna M.A. Shaalan Kottakkaran Sooppy Nisar Wedad Albalawi Abdel-Haleem Abdel-Aty |
| author_facet | Khalid K. Ali M.S. Mehanna M.A. Shaalan Kottakkaran Sooppy Nisar Wedad Albalawi Abdel-Haleem Abdel-Aty |
| author_sort | Khalid K. Ali |
| collection | DOAJ |
| description | This paper is focused on the nonlinear evolution equation in (2+1)-dimensions which is found in different engineering and scientific areas. Many sets of exact soliton solutions of the nonlinear evolution equation in (2+1)-dimensions are presented via two analytical methods such as the Kudryashov method and the G′G-expansion method. Numerical solutions based on the finite difference method are introduced. The bifurcation analysis of solitary wave solutions is exhibited. Our analytical and numerical results are compared and illustrate them through some tables and graphical figures. |
| first_indexed | 2024-03-13T08:07:49Z |
| format | Article |
| id | doaj.art-e450a5041d174b268811f209b43935c5 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-13T08:07:49Z |
| publishDate | 2023-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-e450a5041d174b268811f209b43935c52023-06-01T04:35:47ZengElsevierResults in Physics2211-37972023-06-0149106495Analytical and numerical solutions with bifurcation analysis for the nonlinear evolution equation in (2+1)-dimensionsKhalid K. Ali0M.S. Mehanna1M.A. Shaalan2Kottakkaran Sooppy Nisar3Wedad Albalawi4Abdel-Haleem Abdel-Aty5Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, EgyptFaculty of Engineering, MTI University, Cairo, EgyptDepartment of Basic Science, Higher Technological Institute, 10th of Ramadan City, EgyptDepartment of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Alkharj, 11942, Saudi Arabia; School of Technology, Woxsen University, Hyderabad, 502345, Telangana State, India; Corresponding author at: Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Alkharj, 11942, Saudi Arabia.Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Physics, College of Sciences, University of Bisha, PO Box 344, Bisha 61922, Saudi ArabiaThis paper is focused on the nonlinear evolution equation in (2+1)-dimensions which is found in different engineering and scientific areas. Many sets of exact soliton solutions of the nonlinear evolution equation in (2+1)-dimensions are presented via two analytical methods such as the Kudryashov method and the G′G-expansion method. Numerical solutions based on the finite difference method are introduced. The bifurcation analysis of solitary wave solutions is exhibited. Our analytical and numerical results are compared and illustrate them through some tables and graphical figures.http://www.sciencedirect.com/science/article/pii/S2211379723002887The nonlinear evolution equation in (2+1)-dimensionsThe Kudryashov methodFinite difference methodBifurcation analysis |
| spellingShingle | Khalid K. Ali M.S. Mehanna M.A. Shaalan Kottakkaran Sooppy Nisar Wedad Albalawi Abdel-Haleem Abdel-Aty Analytical and numerical solutions with bifurcation analysis for the nonlinear evolution equation in (2+1)-dimensions Results in Physics The nonlinear evolution equation in (2+1)-dimensions The Kudryashov method Finite difference method Bifurcation analysis |
| title | Analytical and numerical solutions with bifurcation analysis for the nonlinear evolution equation in (2+1)-dimensions |
| title_full | Analytical and numerical solutions with bifurcation analysis for the nonlinear evolution equation in (2+1)-dimensions |
| title_fullStr | Analytical and numerical solutions with bifurcation analysis for the nonlinear evolution equation in (2+1)-dimensions |
| title_full_unstemmed | Analytical and numerical solutions with bifurcation analysis for the nonlinear evolution equation in (2+1)-dimensions |
| title_short | Analytical and numerical solutions with bifurcation analysis for the nonlinear evolution equation in (2+1)-dimensions |
| title_sort | analytical and numerical solutions with bifurcation analysis for the nonlinear evolution equation in 2 1 dimensions |
| topic | The nonlinear evolution equation in (2+1)-dimensions The Kudryashov method Finite difference method Bifurcation analysis |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723002887 |
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