Consistent approximate Q-conditional symmetries of PDEs: application to a hyperbolic reaction-diffusion-convection equation
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arXiv
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| Format: | Preprint |
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2021
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| _version_ | 1866918039474143232 |
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| author | Gorgone, M. Oliveri, F. |
| author_facet | Gorgone, M. Oliveri, F. |
| contents | Within the theoretical framework of a recently introduced approach to approximate Lie symmetries of differential equations containing small terms, which is consistent with the principles of perturbative analysis, we define accordingly approximate Q-conditional symmetries of partial differential equations. The approach is illustrated by considering the hyperbolic version of a reaction-diffusion-convection equation. By looking for its first order approximate Q-conditional symmetries, we are able to explicitly determine a large set of non-trivial approximate solutions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2105_05584 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Consistent approximate Q-conditional symmetries of PDEs: application to a hyperbolic reaction-diffusion-convection equation Gorgone, M. Oliveri, F. Mathematical Physics 34E10, 35C06, 35C20, 58J37, 58J70 Within the theoretical framework of a recently introduced approach to approximate Lie symmetries of differential equations containing small terms, which is consistent with the principles of perturbative analysis, we define accordingly approximate Q-conditional symmetries of partial differential equations. The approach is illustrated by considering the hyperbolic version of a reaction-diffusion-convection equation. By looking for its first order approximate Q-conditional symmetries, we are able to explicitly determine a large set of non-trivial approximate solutions. |
| title | Consistent approximate Q-conditional symmetries of PDEs: application to a hyperbolic reaction-diffusion-convection equation |
| topic | Mathematical Physics 34E10, 35C06, 35C20, 58J37, 58J70 |
| url | https://arxiv.org/abs/2105.05584 |