Multi-solitons of one-dimensional Boussinesq equation
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929399445585920 |
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| author | Alvarez, Vicente Esfahani, Amin |
| author_facet | Alvarez, Vicente Esfahani, Amin |
| contents | The existence of multi-speed solitary waves for the one-dimensional good Boussinesq equation with a power nonlinearity is proven. These solutions are shown to behave at large times as a pair of scalar solitary waves traveling at different speeds. Both subcritical and supercritical cases are treated. The proof is based on the construction of approximations of the multi-speed solitary waves by solving an equivalent system backward in time and using energy methods to obtain uniform estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_17498 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multi-solitons of one-dimensional Boussinesq equation Alvarez, Vicente Esfahani, Amin Analysis of PDEs The existence of multi-speed solitary waves for the one-dimensional good Boussinesq equation with a power nonlinearity is proven. These solutions are shown to behave at large times as a pair of scalar solitary waves traveling at different speeds. Both subcritical and supercritical cases are treated. The proof is based on the construction of approximations of the multi-speed solitary waves by solving an equivalent system backward in time and using energy methods to obtain uniform estimates. |
| title | Multi-solitons of one-dimensional Boussinesq equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2406.17498 |