Periodic, Cross-Kink, and Interaction between Stripe and Periodic Wave Solutions for Generalized Hietarinta Equation: Prospects for Applications in Environmental Engineering
In the current work, the modified (2 + 1)-dimensional Hietarinta model is considered by employing Hirota’s bilinear scheme. Likewise, the bilinear formalism is obtained for the considered model. In addition, the periodic-solitary, periodic wave, cross-kink wave, and interaction between stripe and pe...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/6445482 |
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| author | Guangping Li Jalil Manafian Mirmehdi Seyyedi R. Sivaraman Subhiya M. Zeynalli |
| author_facet | Guangping Li Jalil Manafian Mirmehdi Seyyedi R. Sivaraman Subhiya M. Zeynalli |
| author_sort | Guangping Li |
| collection | DOAJ |
| description | In the current work, the modified (2 + 1)-dimensional Hietarinta model is considered by employing Hirota’s bilinear scheme. Likewise, the bilinear formalism is obtained for the considered model. In addition, the periodic-solitary, periodic wave, cross-kink wave, and interaction between stripe and periodic wave solutions of the mentioned equation by particular coefficients are offered. The obtained results may be used in the description of the model in fruitful way. Finally, by using the available situations, the physical demeanor of solutions is discussed in the given method. We demonstrated that these solutions validated the program using Maple and found them correct. Moreover, a lot of graphs in some sections to determine the analysis of obtained findings for the aforementioned equation are given. The achieved solutions are also verified by using the Maple software. These periodic wave solutions suggest that these three methods are useful, easy to use, and effective than other methods. |
| format | Article |
| id | doaj-art-1eeaa594aeba412c96d58c067fbe2973 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-1eeaa594aeba412c96d58c067fbe29732025-02-03T05:59:36ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/6445482Periodic, Cross-Kink, and Interaction between Stripe and Periodic Wave Solutions for Generalized Hietarinta Equation: Prospects for Applications in Environmental EngineeringGuangping Li0Jalil Manafian1Mirmehdi Seyyedi2R. Sivaraman3Subhiya M. Zeynalli4Cangzhou Preschool Teachers CollegeDepartment of Applied MathematicsDepartment of Civil and Architectural EngineeringDepartment of MathematicsGanja State UniversityIn the current work, the modified (2 + 1)-dimensional Hietarinta model is considered by employing Hirota’s bilinear scheme. Likewise, the bilinear formalism is obtained for the considered model. In addition, the periodic-solitary, periodic wave, cross-kink wave, and interaction between stripe and periodic wave solutions of the mentioned equation by particular coefficients are offered. The obtained results may be used in the description of the model in fruitful way. Finally, by using the available situations, the physical demeanor of solutions is discussed in the given method. We demonstrated that these solutions validated the program using Maple and found them correct. Moreover, a lot of graphs in some sections to determine the analysis of obtained findings for the aforementioned equation are given. The achieved solutions are also verified by using the Maple software. These periodic wave solutions suggest that these three methods are useful, easy to use, and effective than other methods.http://dx.doi.org/10.1155/2022/6445482 |
| spellingShingle | Guangping Li Jalil Manafian Mirmehdi Seyyedi R. Sivaraman Subhiya M. Zeynalli Periodic, Cross-Kink, and Interaction between Stripe and Periodic Wave Solutions for Generalized Hietarinta Equation: Prospects for Applications in Environmental Engineering Advances in Mathematical Physics |
| title | Periodic, Cross-Kink, and Interaction between Stripe and Periodic Wave Solutions for Generalized Hietarinta Equation: Prospects for Applications in Environmental Engineering |
| title_full | Periodic, Cross-Kink, and Interaction between Stripe and Periodic Wave Solutions for Generalized Hietarinta Equation: Prospects for Applications in Environmental Engineering |
| title_fullStr | Periodic, Cross-Kink, and Interaction between Stripe and Periodic Wave Solutions for Generalized Hietarinta Equation: Prospects for Applications in Environmental Engineering |
| title_full_unstemmed | Periodic, Cross-Kink, and Interaction between Stripe and Periodic Wave Solutions for Generalized Hietarinta Equation: Prospects for Applications in Environmental Engineering |
| title_short | Periodic, Cross-Kink, and Interaction between Stripe and Periodic Wave Solutions for Generalized Hietarinta Equation: Prospects for Applications in Environmental Engineering |
| title_sort | periodic cross kink and interaction between stripe and periodic wave solutions for generalized hietarinta equation prospects for applications in environmental engineering |
| url | http://dx.doi.org/10.1155/2022/6445482 |
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