Invariant Reduction for Partial Differential Equations. I: Conservation Laws and Systems with Two Independent Variables
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866911510066888704 |
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| author | Druzhkov, Kostya Cheviakov, Alexei |
| author_facet | Druzhkov, Kostya Cheviakov, Alexei |
| contents | For a system of partial differential equations that has an extended Kovalevskaya form, a reduction procedure is presented that allows one to use a local (point, contact, or higher) symmetry of a system and a symmetry-invariant conservation law to algorithmically calculate constants of motion holding for symmetry-invariant solutions. Several examples including cases of point and higher symmetry invariance are presented and discussed. An implementation of the algorithm in Maple is provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_02965 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Invariant Reduction for Partial Differential Equations. I: Conservation Laws and Systems with Two Independent Variables Druzhkov, Kostya Cheviakov, Alexei Exactly Solvable and Integrable Systems Mathematical Physics For a system of partial differential equations that has an extended Kovalevskaya form, a reduction procedure is presented that allows one to use a local (point, contact, or higher) symmetry of a system and a symmetry-invariant conservation law to algorithmically calculate constants of motion holding for symmetry-invariant solutions. Several examples including cases of point and higher symmetry invariance are presented and discussed. An implementation of the algorithm in Maple is provided. |
| title | Invariant Reduction for Partial Differential Equations. I: Conservation Laws and Systems with Two Independent Variables |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics |
| url | https://arxiv.org/abs/2412.02965 |