Lie symmetries of a generalized Fisher equation in cylindrical coordinates
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866916033595441152 |
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| author | Batsukh, Bayarjargal Zunderiya, Uuganbayar |
| author_facet | Batsukh, Bayarjargal Zunderiya, Uuganbayar |
| contents | In this work we studied a generalized Fisher equation in cylindrical coordinate using Lie symmetry method. We have determined for what type of source function the generalized Fisher equation has Lie Symmetries other than time translation symmetry when the diffusion function is given by an exponential function. Also the reduced ordinary differential equations are obtained corresponding to Lie symmetries of the generalized Fisher equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_21890 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Lie symmetries of a generalized Fisher equation in cylindrical coordinates Batsukh, Bayarjargal Zunderiya, Uuganbayar Mathematical Physics In this work we studied a generalized Fisher equation in cylindrical coordinate using Lie symmetry method. We have determined for what type of source function the generalized Fisher equation has Lie Symmetries other than time translation symmetry when the diffusion function is given by an exponential function. Also the reduced ordinary differential equations are obtained corresponding to Lie symmetries of the generalized Fisher equation. |
| title | Lie symmetries of a generalized Fisher equation in cylindrical coordinates |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2605.21890 |