The "good" Boussinesq equation on the half-line: a Riemann-Hilbert approach
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866908881979965440 |
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| author | Charlier, Christophe Lenells, Jonatan |
| author_facet | Charlier, Christophe Lenells, Jonatan |
| contents | We consider the ``good" Boussinesq equation on the half-line. Assuming existence of the solution, we prove that it can be recovered from the solution of a $3\times 3$ Riemann-Hilbert problem that depends only on the initial and boundary values, and whose jump contour consists of twelve half-lines. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_11951 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The "good" Boussinesq equation on the half-line: a Riemann-Hilbert approach Charlier, Christophe Lenells, Jonatan Analysis of PDEs We consider the ``good" Boussinesq equation on the half-line. Assuming existence of the solution, we prove that it can be recovered from the solution of a $3\times 3$ Riemann-Hilbert problem that depends only on the initial and boundary values, and whose jump contour consists of twelve half-lines. |
| title | The "good" Boussinesq equation on the half-line: a Riemann-Hilbert approach |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2603.11951 |