Lie symmetries, conservation laws and exact solutions of a generalized quasilinear KdV equation with degenerate dispersion
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913225588604928 |
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| author | Bruzón, María de los Santos Recio, Elena Garrido, Tamara María de la Rosa, Rafael |
| author_facet | Bruzón, María de los Santos Recio, Elena Garrido, Tamara María de la Rosa, Rafael |
| contents | We provide a complete classification of point symmetries and low-order local conservation laws of the generalized quasilinear KdV equation in terms of the arbitrary function. The corresponding interpretation of symmetry transformation groups are given. In addition, a physical description of the conserved quantities is included. Finally, few travelling wave solutions have been obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04484 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lie symmetries, conservation laws and exact solutions of a generalized quasilinear KdV equation with degenerate dispersion Bruzón, María de los Santos Recio, Elena Garrido, Tamara María de la Rosa, Rafael Exactly Solvable and Integrable Systems Analysis of PDEs Primary: 35B06, 35L65, 35C07, Secondary: 35Q53 We provide a complete classification of point symmetries and low-order local conservation laws of the generalized quasilinear KdV equation in terms of the arbitrary function. The corresponding interpretation of symmetry transformation groups are given. In addition, a physical description of the conserved quantities is included. Finally, few travelling wave solutions have been obtained. |
| title | Lie symmetries, conservation laws and exact solutions of a generalized quasilinear KdV equation with degenerate dispersion |
| topic | Exactly Solvable and Integrable Systems Analysis of PDEs Primary: 35B06, 35L65, 35C07, Secondary: 35Q53 |
| url | https://arxiv.org/abs/2402.04484 |