Wave breaking for the generalized Fornberg-Whitham equation
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866916311111565312 |
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| author | Saut, Jean-Claude Sun, Shihan Wang, Yuexun Zhang, Yi |
| author_facet | Saut, Jean-Claude Sun, Shihan Wang, Yuexun Zhang, Yi |
| contents | This paper aims to show that the Cauchy problem of the Burgers equation with a weakly dispersive perturbation involving the Bessel potential (generalization of the Fornberg-Whitham equation) can exhibit wave breaking for initial data with large slope. We also comment on the dispersive properties of the equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_10651 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Wave breaking for the generalized Fornberg-Whitham equation Saut, Jean-Claude Sun, Shihan Wang, Yuexun Zhang, Yi Analysis of PDEs This paper aims to show that the Cauchy problem of the Burgers equation with a weakly dispersive perturbation involving the Bessel potential (generalization of the Fornberg-Whitham equation) can exhibit wave breaking for initial data with large slope. We also comment on the dispersive properties of the equation. |
| title | Wave breaking for the generalized Fornberg-Whitham equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2309.10651 |