Soliton solutions of a (2+1)-dimensional nonlinear time-fractional Bogoyavlenskii equation model
In this analysis, we propose a mathematical approach named the extended (ℵ, ℜ) expansion scheme to integrate nonlinear fractional and classical evolution models. We utilize the technique to the time fractional Bogoyavlenskii equation, which signifies the (2 + 1)-dimensional interaction of propagatin...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-12-01
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| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818123001043 |
| _version_ | 1797390358672310272 |
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| author | Md. Sabur Uddin Momtaz Begum Harun-Or-Roshid Mohammad Safi Ullah Alrazi Abdeljabbar |
| author_facet | Md. Sabur Uddin Momtaz Begum Harun-Or-Roshid Mohammad Safi Ullah Alrazi Abdeljabbar |
| author_sort | Md. Sabur Uddin |
| collection | DOAJ |
| description | In this analysis, we propose a mathematical approach named the extended (ℵ, ℜ) expansion scheme to integrate nonlinear fractional and classical evolution models. We utilize the technique to the time fractional Bogoyavlenskii equation, which signifies the (2 + 1)-dimensional interaction of propagating Riemann waves along a definite axis and a wave normal to it. Additionally, we integrate the model using the new extended (G′/G) expansion scheme. Consequently, we derive exact wave solutions, including singular and multiple periodic soliton solutions, kink waves, anti-kink waves, bell-shaped waves, lump waves, rogue waves, periodic lump waves, and interactions between lump and kink wave profiles. The properties of the fractional parameter on the achieved outcomes are also analyzed. We have created 3D plots, 3D plots with contour lines, and 2D plots of our attained solutions using the computational software, Maple. These systems can also represent various solutions for other fractional models in the domains of nonlinear science and engineering. |
| first_indexed | 2024-03-08T23:10:34Z |
| format | Article |
| id | doaj.art-92f296deb5fb46a38652ec06169f1ff6 |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-03-08T23:10:34Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-92f296deb5fb46a38652ec06169f1ff62023-12-15T07:26:54ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812023-12-018100591Soliton solutions of a (2+1)-dimensional nonlinear time-fractional Bogoyavlenskii equation modelMd. Sabur Uddin0Momtaz Begum1 Harun-Or-Roshid2Mohammad Safi Ullah3Alrazi Abdeljabbar4Department of Applied Mathematics, Gono Bishwabidyalay, Savar, Dhaka, Bangladesh; Department of Mathematics, Pabna University of Science & Technology, Pabna 6600, BangladeshDepartment of Computer Science & Engineering, Prime University, Dhaka, BangladeshDepartment of Mathematics, Pabna University of Science & Technology, Pabna 6600, Bangladesh; Corresponding author.Department of Mathematics, Comilla University, Cumilla 3506, BangladeshDepartment of Mathematics, Khalifa University of Science and Technology, Abu Dhabi 127788, United Arab EmiratesIn this analysis, we propose a mathematical approach named the extended (ℵ, ℜ) expansion scheme to integrate nonlinear fractional and classical evolution models. We utilize the technique to the time fractional Bogoyavlenskii equation, which signifies the (2 + 1)-dimensional interaction of propagating Riemann waves along a definite axis and a wave normal to it. Additionally, we integrate the model using the new extended (G′/G) expansion scheme. Consequently, we derive exact wave solutions, including singular and multiple periodic soliton solutions, kink waves, anti-kink waves, bell-shaped waves, lump waves, rogue waves, periodic lump waves, and interactions between lump and kink wave profiles. The properties of the fractional parameter on the achieved outcomes are also analyzed. We have created 3D plots, 3D plots with contour lines, and 2D plots of our attained solutions using the computational software, Maple. These systems can also represent various solutions for other fractional models in the domains of nonlinear science and engineering.http://www.sciencedirect.com/science/article/pii/S2666818123001043The extended (ℵ, ℜ)expansion schemeThe new modified (G′/G)-expansion schemeKing waveSolitonsLump and rogue wave |
| spellingShingle | Md. Sabur Uddin Momtaz Begum Harun-Or-Roshid Mohammad Safi Ullah Alrazi Abdeljabbar Soliton solutions of a (2+1)-dimensional nonlinear time-fractional Bogoyavlenskii equation model Partial Differential Equations in Applied Mathematics The extended (ℵ, ℜ)expansion scheme The new modified (G′/G)-expansion scheme King wave Solitons Lump and rogue wave |
| title | Soliton solutions of a (2+1)-dimensional nonlinear time-fractional Bogoyavlenskii equation model |
| title_full | Soliton solutions of a (2+1)-dimensional nonlinear time-fractional Bogoyavlenskii equation model |
| title_fullStr | Soliton solutions of a (2+1)-dimensional nonlinear time-fractional Bogoyavlenskii equation model |
| title_full_unstemmed | Soliton solutions of a (2+1)-dimensional nonlinear time-fractional Bogoyavlenskii equation model |
| title_short | Soliton solutions of a (2+1)-dimensional nonlinear time-fractional Bogoyavlenskii equation model |
| title_sort | soliton solutions of a 2 1 dimensional nonlinear time fractional bogoyavlenskii equation model |
| topic | The extended (ℵ, ℜ)expansion scheme The new modified (G′/G)-expansion scheme King wave Solitons Lump and rogue wave |
| url | http://www.sciencedirect.com/science/article/pii/S2666818123001043 |
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