A Lie group treatment on a generalized evolution Fisher type equation with variable coefficients
In this study, a general second-order evolution equation of the Fisher-type, with time-dependent variable coefficients, is considered. This equation contains many well-known equations, and obtained results may be applicable in investigating other evolution equations. Lie symmetries and corresponding...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-03-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723001006 |
| _version_ | 1797870592666370048 |
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| author | Shao-Wen Yao Mir Sajjad Hashemi Mustafa Inc |
| author_facet | Shao-Wen Yao Mir Sajjad Hashemi Mustafa Inc |
| author_sort | Shao-Wen Yao |
| collection | DOAJ |
| description | In this study, a general second-order evolution equation of the Fisher-type, with time-dependent variable coefficients, is considered. This equation contains many well-known equations, and obtained results may be applicable in investigating other evolution equations. Lie symmetries and corresponding invariant solutions of the considered problem are studied by a non-traditional Lie symmetry method (LSM). Prolongation of the model is an essential part of the Lie symmetry method, which in the current work, we analyze by the heir-equations. Finally, different types of solutions depending on the variable coefficients, such as the exponential solutions, trigonometric solutions, Bessel solutions, and Mathieu solutions, are extracted. |
| first_indexed | 2024-04-10T00:29:52Z |
| format | Article |
| id | doaj.art-700984e26bfe496097839f6679515bcf |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-10T00:29:52Z |
| publishDate | 2023-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-700984e26bfe496097839f6679515bcf2023-03-15T04:27:54ZengElsevierResults in Physics2211-37972023-03-0146106307A Lie group treatment on a generalized evolution Fisher type equation with variable coefficientsShao-Wen Yao0Mir Sajjad Hashemi1Mustafa Inc2School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, Henan 454000, ChinaDepartment of Computer Engineering, Biruni University, 34010 Istanbul, TurkeyFırat University, Science Faculty, Department of Mathematics, 23119 Elazig, Turkey; Department of Medical Research, China Medical University, 40402 Taichung, Taiwan; Corresponding author at: Fırat University, Science Faculty, Department of Mathematics, 23119 Elazig, Turkey.In this study, a general second-order evolution equation of the Fisher-type, with time-dependent variable coefficients, is considered. This equation contains many well-known equations, and obtained results may be applicable in investigating other evolution equations. Lie symmetries and corresponding invariant solutions of the considered problem are studied by a non-traditional Lie symmetry method (LSM). Prolongation of the model is an essential part of the Lie symmetry method, which in the current work, we analyze by the heir-equations. Finally, different types of solutions depending on the variable coefficients, such as the exponential solutions, trigonometric solutions, Bessel solutions, and Mathieu solutions, are extracted.http://www.sciencedirect.com/science/article/pii/S2211379723001006Heir-equation methodNon-classical symmetryFisher-type equation |
| spellingShingle | Shao-Wen Yao Mir Sajjad Hashemi Mustafa Inc A Lie group treatment on a generalized evolution Fisher type equation with variable coefficients Results in Physics Heir-equation method Non-classical symmetry Fisher-type equation |
| title | A Lie group treatment on a generalized evolution Fisher type equation with variable coefficients |
| title_full | A Lie group treatment on a generalized evolution Fisher type equation with variable coefficients |
| title_fullStr | A Lie group treatment on a generalized evolution Fisher type equation with variable coefficients |
| title_full_unstemmed | A Lie group treatment on a generalized evolution Fisher type equation with variable coefficients |
| title_short | A Lie group treatment on a generalized evolution Fisher type equation with variable coefficients |
| title_sort | lie group treatment on a generalized evolution fisher type equation with variable coefficients |
| topic | Heir-equation method Non-classical symmetry Fisher-type equation |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723001006 |
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