On symmetries and conservation laws of a Gardner equation involving arbitrary functions
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909094365888512 |
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| author | de la Rosa, Rafael Gandarias, María Luz Bruzón, María de los Santos |
| author_facet | de la Rosa, Rafael Gandarias, María Luz Bruzón, María de los Santos |
| contents | In this work we study a generalized variable-coefficient Gardner equation from the point of view of Lie symmetries in partial differential equations. We find conservation laws by using the multipliers method of Anco and Bluman which does not require the use of a variational principle. We also construct conservation laws using Ibragimov theorem which is based on the concept of adjoint equation for nonlinear differential equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_03418 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On symmetries and conservation laws of a Gardner equation involving arbitrary functions de la Rosa, Rafael Gandarias, María Luz Bruzón, María de los Santos Analysis of PDEs In this work we study a generalized variable-coefficient Gardner equation from the point of view of Lie symmetries in partial differential equations. We find conservation laws by using the multipliers method of Anco and Bluman which does not require the use of a variational principle. We also construct conservation laws using Ibragimov theorem which is based on the concept of adjoint equation for nonlinear differential equations. |
| title | On symmetries and conservation laws of a Gardner equation involving arbitrary functions |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2402.03418 |