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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.01955 |
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| _version_ | 1866914752953843712 |
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| author | Kaptsov, O. V. |
| author_facet | Kaptsov, O. V. |
| contents | The article introduces contact germs that transform solutions of some partial differential equations into solutions of other equations. Parametric symmetries of differential equations generalizing point and contact symmetries are defined. New transformations and symmetries may depend on derivatives of arbitrary but finite order. The stationary Schrödinger equations, acoustics and gas dynamics equations are considered as examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_01955 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Contact germs and partial differential equations Kaptsov, O. V. Exactly Solvable and Integrable Systems The article introduces contact germs that transform solutions of some partial differential equations into solutions of other equations. Parametric symmetries of differential equations generalizing point and contact symmetries are defined. New transformations and symmetries may depend on derivatives of arbitrary but finite order. The stationary Schrödinger equations, acoustics and gas dynamics equations are considered as examples. |
| title | Contact germs and partial differential equations |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2404.01955 |