Bifurcation of some new traveling wave solutions for the time–space M- fractional MEW equation via three altered methods
In this work,1/G′, modified G′/G2 and new extended direct algebraic methods are proposed to construct the novel exact traveling wave solutions in the form of trigonometric, hyperbolic and exponential functions of the time-fractional modified equal-width (MEW) equation in the sense of M- truncated fr...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-10-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379722005320 |
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| author | Imran Siddique Khush Bukht Mehdi Mohammed M.M. Jaradat Asim Zafar Mamdouh E. Elbrolosy Adel A. Elmandouh Mohammed Sallah |
| author_facet | Imran Siddique Khush Bukht Mehdi Mohammed M.M. Jaradat Asim Zafar Mamdouh E. Elbrolosy Adel A. Elmandouh Mohammed Sallah |
| author_sort | Imran Siddique |
| collection | DOAJ |
| description | In this work,1/G′, modified G′/G2 and new extended direct algebraic methods are proposed to construct the novel exact traveling wave solutions in the form of trigonometric, hyperbolic and exponential functions of the time-fractional modified equal-width (MEW) equation in the sense of M- truncated fractional derivative. These methods contribute a variety of exact solutions in terms of the hyperbolic, trigonometric and rational functions to the scientific literature. The obtained solutions are verified for aforesaid equation through symbolic soft computations. To promote the essential propagated features, some investigated solutions are exhibited in the form of 2D and 3D graphics by passing on the precise values to the parameters under the constrain conditions. Further, the dynamical behavior is investigated. Based on the bifurcation constrains on the system’s parameters, we constructed also some new wave solution which are assorted into solitary, kink, periodic, and super periodic wave solutions. The influence of the included parameters on the solution is clarified. Moreover, we guarantee that all the solutions are new and an excellent contribution in the existing literature of solitary wave theory. |
| first_indexed | 2024-04-12T03:12:14Z |
| format | Article |
| id | doaj.art-68eb6215a0284bea8c6156320e2ec462 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-12T03:12:14Z |
| publishDate | 2022-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-68eb6215a0284bea8c6156320e2ec4622022-12-22T03:50:19ZengElsevierResults in Physics2211-37972022-10-0141105896Bifurcation of some new traveling wave solutions for the time–space M- fractional MEW equation via three altered methodsImran Siddique0Khush Bukht Mehdi1Mohammed M.M. Jaradat2Asim Zafar3Mamdouh E. Elbrolosy4Adel A. Elmandouh5Mohammed Sallah6Department of Mathematics, University of Management and Technology, Lahore 54770, PakistanDepartment of Mathematics, University of Management and Technology, Lahore 54770, PakistanMathematics Program, Department of Mathematics, Statistics and Physics, College of Arts and Sciences, Qatar University, Doha P.O. Box 2713, Qatar; Corresponding author.Department of Mathematics, COMSATS University Islamabad, Vehari Campus, PakistanDepartment of Mathematics and Statistics, College of Science, King Faisal University, P. O. Box 400, Al-Ahsa 31982, Saudi Arabia; Department of Mathematics, Faculty of Science, Tanta University, Tanta, EgyptDepartment of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt; Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptApplied Mathematical Physics Research Group, Physics Department, Faculty of Science, Mansoura University, Mansoura 35516, Egypt; Higher Institute of Engineering and Technology, New Damietta, EgyptIn this work,1/G′, modified G′/G2 and new extended direct algebraic methods are proposed to construct the novel exact traveling wave solutions in the form of trigonometric, hyperbolic and exponential functions of the time-fractional modified equal-width (MEW) equation in the sense of M- truncated fractional derivative. These methods contribute a variety of exact solutions in terms of the hyperbolic, trigonometric and rational functions to the scientific literature. The obtained solutions are verified for aforesaid equation through symbolic soft computations. To promote the essential propagated features, some investigated solutions are exhibited in the form of 2D and 3D graphics by passing on the precise values to the parameters under the constrain conditions. Further, the dynamical behavior is investigated. Based on the bifurcation constrains on the system’s parameters, we constructed also some new wave solution which are assorted into solitary, kink, periodic, and super periodic wave solutions. The influence of the included parameters on the solution is clarified. Moreover, we guarantee that all the solutions are new and an excellent contribution in the existing literature of solitary wave theory.http://www.sciencedirect.com/science/article/pii/S2211379722005320Time-fractional modified equal width equationM−Fractional derivativeThree efficient methodsExact traveling wave solutionsBifurcation theoryPhase portrait |
| spellingShingle | Imran Siddique Khush Bukht Mehdi Mohammed M.M. Jaradat Asim Zafar Mamdouh E. Elbrolosy Adel A. Elmandouh Mohammed Sallah Bifurcation of some new traveling wave solutions for the time–space M- fractional MEW equation via three altered methods Results in Physics Time-fractional modified equal width equation M−Fractional derivative Three efficient methods Exact traveling wave solutions Bifurcation theory Phase portrait |
| title | Bifurcation of some new traveling wave solutions for the time–space M- fractional MEW equation via three altered methods |
| title_full | Bifurcation of some new traveling wave solutions for the time–space M- fractional MEW equation via three altered methods |
| title_fullStr | Bifurcation of some new traveling wave solutions for the time–space M- fractional MEW equation via three altered methods |
| title_full_unstemmed | Bifurcation of some new traveling wave solutions for the time–space M- fractional MEW equation via three altered methods |
| title_short | Bifurcation of some new traveling wave solutions for the time–space M- fractional MEW equation via three altered methods |
| title_sort | bifurcation of some new traveling wave solutions for the time space m fractional mew equation via three altered methods |
| topic | Time-fractional modified equal width equation M−Fractional derivative Three efficient methods Exact traveling wave solutions Bifurcation theory Phase portrait |
| url | http://www.sciencedirect.com/science/article/pii/S2211379722005320 |
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