The natural extension to PDEs of Lie's reduction of order algorithm for ODEs
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913428050804736 |
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| author | Bluman, George W. de la Rosa, Rafael |
| author_facet | Bluman, George W. de la Rosa, Rafael |
| contents | In this paper, we further consider the symmetry-based method for seeking nonlocally related systems for partial differential equations. In particular, we show that the symmetry-based method for partial differential equations is the natural extension of Lie's reduction of order algorithm for ordinary differential equations by looking at this algorithm from a different point of view. Many examples exhibit various situations that can arise. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09063 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The natural extension to PDEs of Lie's reduction of order algorithm for ODEs Bluman, George W. de la Rosa, Rafael Analysis of PDEs Classical Analysis and ODEs 35A24, 34A05, 34C14, 35B06 In this paper, we further consider the symmetry-based method for seeking nonlocally related systems for partial differential equations. In particular, we show that the symmetry-based method for partial differential equations is the natural extension of Lie's reduction of order algorithm for ordinary differential equations by looking at this algorithm from a different point of view. Many examples exhibit various situations that can arise. |
| title | The natural extension to PDEs of Lie's reduction of order algorithm for ODEs |
| topic | Analysis of PDEs Classical Analysis and ODEs 35A24, 34A05, 34C14, 35B06 |
| url | https://arxiv.org/abs/2407.09063 |