Optical soliton analysis to a family of 3D WBBM equations with conformable derivative via a dynamical approach
The prime goal of this study is to investigate the soliton dynamics to the family of 3D fractional Wazwaz–Benjamin–Bona–Mahony (WBBM) equations in the absence of self-phase modulation by employing the advanced exp−ϕψ-expansion method. Our mentioned technique is a superior development of the general...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-06-01
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| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818121001236 |
| _version_ | 1811342328599674880 |
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| author | Abdulla - Al - Mamun Samsun Nahar Ananna Tianqing An Md. Asaduzzaman Ahammodullah Hasan |
| author_facet | Abdulla - Al - Mamun Samsun Nahar Ananna Tianqing An Md. Asaduzzaman Ahammodullah Hasan |
| author_sort | Abdulla - Al - Mamun |
| collection | DOAJ |
| description | The prime goal of this study is to investigate the soliton dynamics to the family of 3D fractional Wazwaz–Benjamin–Bona–Mahony (WBBM) equations in the absence of self-phase modulation by employing the advanced exp−ϕψ-expansion method. Our mentioned technique is a superior development of the generalized exp−ϕψ-expansion method. By employing the advanced exp−ϕψ-expansion method, optical soliton, singular optical soliton, dark optical soliton, combined optical soliton solutions are constructed to our mentioned family of 3D fractional WBBM equations, whereas trigonometric, hyperbolic, and rational function solutions are also obtained. Moreover, three-dimensional surface plots, contour plots, and two-dimensional plots are presented by the obtained solutions’ dynamical characteristics. All the plots of each solution are shown separately for real and imaginary parts. All the attained solutions have been proved by the computational software Mathematica. |
| first_indexed | 2024-04-13T19:09:38Z |
| format | Article |
| id | doaj.art-b8d2c869df114d7ca9e0fe710f767c79 |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-04-13T19:09:38Z |
| publishDate | 2022-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-b8d2c869df114d7ca9e0fe710f767c792022-12-22T02:33:53ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812022-06-015100238Optical soliton analysis to a family of 3D WBBM equations with conformable derivative via a dynamical approachAbdulla - Al - Mamun0Samsun Nahar Ananna1Tianqing An2Md. Asaduzzaman3Ahammodullah Hasan4Department of Information and Communication Technology (ICT), Rabindra Maitree University, Kushtia 7000, Bangladesh; Department of Mathematics, College of Science, Hohai University, Nanjing 210098, PR China; Department of Hydrology and Water Resources, College of Hydrology and Water Resources, Hohai University, Nanjing 210098, PR China; Department of Mathematics, Islamic University, Kushtia 7003, Bangladesh; Corresponding author at: Department of Information and Communication Technology (ICT), Rabindra Maitree University, Kushtia 7000, Bangladesh.Department of Mathematics, College of Science, Hohai University, Nanjing 210098, PR China; Department of Mathematics, Islamic University, Kushtia 7003, BangladeshDepartment of Mathematics, College of Science, Hohai University, Nanjing 210098, PR ChinaDepartment of Mathematics, Islamic University, Kushtia 7003, BangladeshDepartment of Mathematics, Islamic University, Kushtia 7003, BangladeshThe prime goal of this study is to investigate the soliton dynamics to the family of 3D fractional Wazwaz–Benjamin–Bona–Mahony (WBBM) equations in the absence of self-phase modulation by employing the advanced exp−ϕψ-expansion method. Our mentioned technique is a superior development of the generalized exp−ϕψ-expansion method. By employing the advanced exp−ϕψ-expansion method, optical soliton, singular optical soliton, dark optical soliton, combined optical soliton solutions are constructed to our mentioned family of 3D fractional WBBM equations, whereas trigonometric, hyperbolic, and rational function solutions are also obtained. Moreover, three-dimensional surface plots, contour plots, and two-dimensional plots are presented by the obtained solutions’ dynamical characteristics. All the plots of each solution are shown separately for real and imaginary parts. All the attained solutions have been proved by the computational software Mathematica.http://www.sciencedirect.com/science/article/pii/S2666818121001236The advanced exp(−ϕ(ψ))-expansion methodWazwaz–Benjamin–Bona–Mahony equationPeriodic waveSolitary waveShallow water wave |
| spellingShingle | Abdulla - Al - Mamun Samsun Nahar Ananna Tianqing An Md. Asaduzzaman Ahammodullah Hasan Optical soliton analysis to a family of 3D WBBM equations with conformable derivative via a dynamical approach Partial Differential Equations in Applied Mathematics The advanced exp(−ϕ(ψ))-expansion method Wazwaz–Benjamin–Bona–Mahony equation Periodic wave Solitary wave Shallow water wave |
| title | Optical soliton analysis to a family of 3D WBBM equations with conformable derivative via a dynamical approach |
| title_full | Optical soliton analysis to a family of 3D WBBM equations with conformable derivative via a dynamical approach |
| title_fullStr | Optical soliton analysis to a family of 3D WBBM equations with conformable derivative via a dynamical approach |
| title_full_unstemmed | Optical soliton analysis to a family of 3D WBBM equations with conformable derivative via a dynamical approach |
| title_short | Optical soliton analysis to a family of 3D WBBM equations with conformable derivative via a dynamical approach |
| title_sort | optical soliton analysis to a family of 3d wbbm equations with conformable derivative via a dynamical approach |
| topic | The advanced exp(−ϕ(ψ))-expansion method Wazwaz–Benjamin–Bona–Mahony equation Periodic wave Solitary wave Shallow water wave |
| url | http://www.sciencedirect.com/science/article/pii/S2666818121001236 |
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