Lie symmetries and travelling wave solutions of the nonlinear waves in the inhomogeneous Fisher-Kolmogorov equation
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917907282264064 |
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| author | Bruzón, M. S. Garrido, T. M. Recio, E. de la Rosa, R. |
| author_facet | Bruzón, M. S. Garrido, T. M. Recio, E. de la Rosa, R. |
| contents | In this work we consider a Fisher-Kolmogorov equation depending on two exponential functions of the spatial variables. We study this equation from the point of view of symmetry reductions in partial differential equations. Through two-dimensional abelian subalgebras, the equation is reduced to ordinary differential equations. New solutions have been derived and interpreted. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18791 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lie symmetries and travelling wave solutions of the nonlinear waves in the inhomogeneous Fisher-Kolmogorov equation Bruzón, M. S. Garrido, T. M. Recio, E. de la Rosa, R. Analysis of PDEs 35B06, 35L65, 35C07 In this work we consider a Fisher-Kolmogorov equation depending on two exponential functions of the spatial variables. We study this equation from the point of view of symmetry reductions in partial differential equations. Through two-dimensional abelian subalgebras, the equation is reduced to ordinary differential equations. New solutions have been derived and interpreted. |
| title | Lie symmetries and travelling wave solutions of the nonlinear waves in the inhomogeneous Fisher-Kolmogorov equation |
| topic | Analysis of PDEs 35B06, 35L65, 35C07 |
| url | https://arxiv.org/abs/2501.18791 |