A note on exact results for Burgers-like equations involving Laguerre derivatives
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916382766006272 |
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| author | Dattoli, Giuseppe Droghei, Riccardo Garra, Roberto |
| author_facet | Dattoli, Giuseppe Droghei, Riccardo Garra, Roberto |
| contents | In this note, we consider some Burgers-like equations involving Laguerre derivatives and demonstrate that it is possible to construct specific exact solutions using separation of variables. We prove that a general scheme exists for constructing exact solutions for these Burgers-like equations, extending to more general cases, including nonlinear time-fractional equations. Exact solutions can also be obtained for KdV-like equations involving Laguerre derivatives. We finally consider a particular class of Burgers equations with variable coefficients whose solution can be obtained similarly. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_02928 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on exact results for Burgers-like equations involving Laguerre derivatives Dattoli, Giuseppe Droghei, Riccardo Garra, Roberto General Mathematics In this note, we consider some Burgers-like equations involving Laguerre derivatives and demonstrate that it is possible to construct specific exact solutions using separation of variables. We prove that a general scheme exists for constructing exact solutions for these Burgers-like equations, extending to more general cases, including nonlinear time-fractional equations. Exact solutions can also be obtained for KdV-like equations involving Laguerre derivatives. We finally consider a particular class of Burgers equations with variable coefficients whose solution can be obtained similarly. |
| title | A note on exact results for Burgers-like equations involving Laguerre derivatives |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2409.02928 |