Bifurcation of some new traveling wave solutions for the time–space M- fractional MEW equation via three altered methods
<p dir="ltr">In this work,1/G′, modified (G′/G<sup>2</sup> ) 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 equ...
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2022
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| author | Imran Siddique (12705185) |
| author2 | Khush Bukht Mehdi (17269258) Mohammed M.M. Jaradat (17269252) Asim Zafar (17269255) Mamdouh E. Elbrolosy (17380606) Adel A. Elmandouh (17380609) Mohammed Sallah (17380612) |
| author2_role | author author author author author author |
| author_facet | Imran Siddique (12705185) Khush Bukht Mehdi (17269258) Mohammed M.M. Jaradat (17269252) Asim Zafar (17269255) Mamdouh E. Elbrolosy (17380606) Adel A. Elmandouh (17380609) Mohammed Sallah (17380612) |
| author_role | author |
| dc.creator.none.fl_str_mv | Imran Siddique (12705185) Khush Bukht Mehdi (17269258) Mohammed M.M. Jaradat (17269252) Asim Zafar (17269255) Mamdouh E. Elbrolosy (17380606) Adel A. Elmandouh (17380609) Mohammed Sallah (17380612) |
| dc.date.none.fl_str_mv | 2022-10-01T00:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1016/j.rinp.2022.105896 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/Bifurcation_of_some_new_traveling_wave_solutions_for_the_time_space_M-_fractional_MEW_equation_via_three_altered_methods/24551506 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Mathematical sciences Mathematical physics Pure mathematics Time-fractional modified equal width equation M−Fractional derivative Three efficient methods Exact traveling wave solutions Bifurcation theory Phase portrait |
| dc.title.none.fl_str_mv | Bifurcation of some new traveling wave solutions for the time–space M- fractional MEW equation via three altered methods |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p dir="ltr">In this work,1/G′, modified (G′/G<sup>2</sup> ) 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.</p><h2>Other Information</h2><p dir="ltr">Published in: Results in Physics<br>License: <a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1016/j.rinp.2022.105896" target="_blank">https://dx.doi.org/10.1016/j.rinp.2022.105896</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_1552abb738537f4a9ea46d0728afa6cf |
| identifier_str_mv | 10.1016/j.rinp.2022.105896 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/24551506 |
| publishDate | 2022 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Bifurcation of some new traveling wave solutions for the time–space M- fractional MEW equation via three altered methodsImran Siddique (12705185)Khush Bukht Mehdi (17269258)Mohammed M.M. Jaradat (17269252)Asim Zafar (17269255)Mamdouh E. Elbrolosy (17380606)Adel A. Elmandouh (17380609)Mohammed Sallah (17380612)Mathematical sciencesMathematical physicsPure mathematicsTime-fractional modified equal width equationM−Fractional derivativeThree efficient methodsExact traveling wave solutionsBifurcation theoryPhase portrait<p dir="ltr">In this work,1/G′, modified (G′/G<sup>2</sup> ) 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.</p><h2>Other Information</h2><p dir="ltr">Published in: Results in Physics<br>License: <a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1016/j.rinp.2022.105896" target="_blank">https://dx.doi.org/10.1016/j.rinp.2022.105896</a></p>2022-10-01T00:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1016/j.rinp.2022.105896https://figshare.com/articles/journal_contribution/Bifurcation_of_some_new_traveling_wave_solutions_for_the_time_space_M-_fractional_MEW_equation_via_three_altered_methods/24551506CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/245515062022-10-01T00:00:00Z |
| spellingShingle | Bifurcation of some new traveling wave solutions for the time–space M- fractional MEW equation via three altered methods Imran Siddique (12705185) Mathematical sciences Mathematical physics Pure mathematics Time-fractional modified equal width equation M−Fractional derivative Three efficient methods Exact traveling wave solutions Bifurcation theory Phase portrait |
| status_str | publishedVersion |
| 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 | Mathematical sciences Mathematical physics Pure mathematics Time-fractional modified equal width equation M−Fractional derivative Three efficient methods Exact traveling wave solutions Bifurcation theory Phase portrait |