Symmetry Analysis, Invariant Solutions, and Conservation Laws of Fractional KdV-Like Equation
In this paper, Lie symmetries of time-fractional KdV-Like equation with Riemann-Liouville derivative are performed. With the aid of infinitesimal symmetries, the vector fields and symmetry reductions of the equation are constructed, respectively; as a result, the invariant solutions are acquired in...
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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/10.1155/2022/5825938 |
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| author | Maria Ihsane El Bahi Khalid Hilal |
| author_facet | Maria Ihsane El Bahi Khalid Hilal |
| author_sort | Maria Ihsane El Bahi |
| collection | DOAJ |
| description | In this paper, Lie symmetries of time-fractional KdV-Like equation with Riemann-Liouville derivative are performed. With the aid of infinitesimal symmetries, the vector fields and symmetry reductions of the equation are constructed, respectively; as a result, the invariant solutions are acquired in one case; we show that the KdV-like equation can be reduced to a fractional ordinary differential equation (FODE) which is connected with the Erdélyi-Kober functional derivative; for this kind of reduced form, we use the power series method for extracting the explicit solutions in the form of power series solution. Finally, Ibragimov’s theorem has been employed to construct the conservation laws. |
| format | Article |
| id | doaj-art-40801922d534445db200c91faf3bf234 |
| 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-40801922d534445db200c91faf3bf2342025-02-03T01:22:43ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/5825938Symmetry Analysis, Invariant Solutions, and Conservation Laws of Fractional KdV-Like EquationMaria Ihsane El Bahi0Khalid Hilal1Sultan Moulay Slimane UniversitySultan Moulay Slimane UniversityIn this paper, Lie symmetries of time-fractional KdV-Like equation with Riemann-Liouville derivative are performed. With the aid of infinitesimal symmetries, the vector fields and symmetry reductions of the equation are constructed, respectively; as a result, the invariant solutions are acquired in one case; we show that the KdV-like equation can be reduced to a fractional ordinary differential equation (FODE) which is connected with the Erdélyi-Kober functional derivative; for this kind of reduced form, we use the power series method for extracting the explicit solutions in the form of power series solution. Finally, Ibragimov’s theorem has been employed to construct the conservation laws.http://dx.doi.org/10.1155/2022/5825938 |
| spellingShingle | Maria Ihsane El Bahi Khalid Hilal Symmetry Analysis, Invariant Solutions, and Conservation Laws of Fractional KdV-Like Equation Advances in Mathematical Physics |
| title | Symmetry Analysis, Invariant Solutions, and Conservation Laws of Fractional KdV-Like Equation |
| title_full | Symmetry Analysis, Invariant Solutions, and Conservation Laws of Fractional KdV-Like Equation |
| title_fullStr | Symmetry Analysis, Invariant Solutions, and Conservation Laws of Fractional KdV-Like Equation |
| title_full_unstemmed | Symmetry Analysis, Invariant Solutions, and Conservation Laws of Fractional KdV-Like Equation |
| title_short | Symmetry Analysis, Invariant Solutions, and Conservation Laws of Fractional KdV-Like Equation |
| title_sort | symmetry analysis invariant solutions and conservation laws of fractional kdv like equation |
| url | http://dx.doi.org/10.1155/2022/5825938 |
| work_keys_str_mv | AT mariaihsaneelbahi symmetryanalysisinvariantsolutionsandconservationlawsoffractionalkdvlikeequation AT khalidhilal symmetryanalysisinvariantsolutionsandconservationlawsoffractionalkdvlikeequation |