Symmetry Analysis and Wave Solutions of the Fisher Equation Using Conformal Fractional Derivatives
In the present article, the time fractional Fisher equation is considered in conformal form to study the application of the Lie classical method and quantitative analysis. The Lie symmetry method has been applied to find the infinitesimal generators and symmetry reductions of the fractional Fisher e...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/1633450 |
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| _version_ | 1832553037011353600 |
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| author | Shalu Saini Rajeev Kumar null Deeksha Rishu Arora Kamal Kumar |
| author_facet | Shalu Saini Rajeev Kumar null Deeksha Rishu Arora Kamal Kumar |
| author_sort | Shalu Saini |
| collection | DOAJ |
| description | In the present article, the time fractional Fisher equation is considered in conformal form to study the application of the Lie classical method and quantitative analysis. The Lie symmetry method has been applied to find the infinitesimal generators and symmetry reductions of the fractional Fisher equation. The obtained reduced form of the equation is solved by the method of G′/G, which gives different forms of solutions. The theory of bifurcation has been utilized in the reduced form to check the stability and nature of critical points by transforming the equations into an autonomous system. Some phase portraits have been drawn at different critical points by the use of maple. |
| format | Article |
| id | doaj-art-1a0019a888574631b6dbaba684f782db |
| institution | Kabale University |
| issn | 1687-0042 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-1a0019a888574631b6dbaba684f782db2025-02-03T05:56:56ZengWileyJournal of Applied Mathematics1687-00422023-01-01202310.1155/2023/1633450Symmetry Analysis and Wave Solutions of the Fisher Equation Using Conformal Fractional DerivativesShalu Saini0Rajeev Kumar1null Deeksha2Rishu Arora3Kamal Kumar4Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsIn the present article, the time fractional Fisher equation is considered in conformal form to study the application of the Lie classical method and quantitative analysis. The Lie symmetry method has been applied to find the infinitesimal generators and symmetry reductions of the fractional Fisher equation. The obtained reduced form of the equation is solved by the method of G′/G, which gives different forms of solutions. The theory of bifurcation has been utilized in the reduced form to check the stability and nature of critical points by transforming the equations into an autonomous system. Some phase portraits have been drawn at different critical points by the use of maple.http://dx.doi.org/10.1155/2023/1633450 |
| spellingShingle | Shalu Saini Rajeev Kumar null Deeksha Rishu Arora Kamal Kumar Symmetry Analysis and Wave Solutions of the Fisher Equation Using Conformal Fractional Derivatives Journal of Applied Mathematics |
| title | Symmetry Analysis and Wave Solutions of the Fisher Equation Using Conformal Fractional Derivatives |
| title_full | Symmetry Analysis and Wave Solutions of the Fisher Equation Using Conformal Fractional Derivatives |
| title_fullStr | Symmetry Analysis and Wave Solutions of the Fisher Equation Using Conformal Fractional Derivatives |
| title_full_unstemmed | Symmetry Analysis and Wave Solutions of the Fisher Equation Using Conformal Fractional Derivatives |
| title_short | Symmetry Analysis and Wave Solutions of the Fisher Equation Using Conformal Fractional Derivatives |
| title_sort | symmetry analysis and wave solutions of the fisher equation using conformal fractional derivatives |
| url | http://dx.doi.org/10.1155/2023/1633450 |
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