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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.10988 |
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| _version_ | 1866917832363606016 |
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| author | Badanin, Andrey Korotyaev, Evgeny |
| author_facet | Badanin, Andrey Korotyaev, Evgeny |
| contents | We consider a third order operator under the three-point Dirichlet condition. Its spectrum is the so-called auxiliary spectrum for the good Boussinesq equation, as well as the Dirichlet spectrum for the Schrödinger operator on the unit interval is the auxiliary spectrum for the periodic KdV equation. The auxiliary spectrum is formed by projections of the points of the divisor onto the spectral plane. We estimate the spectrum and the corresponding norming constants in terms of small operator coefficients. This work is the first in a series of papers devoted to solving the inverse problem for the Boussinesq equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_10988 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Asymptotics of the divisor for the good Boussinesq equation Badanin, Andrey Korotyaev, Evgeny Mathematical Physics 47E05, 34L20, 34L40 We consider a third order operator under the three-point Dirichlet condition. Its spectrum is the so-called auxiliary spectrum for the good Boussinesq equation, as well as the Dirichlet spectrum for the Schrödinger operator on the unit interval is the auxiliary spectrum for the periodic KdV equation. The auxiliary spectrum is formed by projections of the points of the divisor onto the spectral plane. We estimate the spectrum and the corresponding norming constants in terms of small operator coefficients. This work is the first in a series of papers devoted to solving the inverse problem for the Boussinesq equation. |
| title | Asymptotics of the divisor for the good Boussinesq equation |
| topic | Mathematical Physics 47E05, 34L20, 34L40 |
| url | https://arxiv.org/abs/2409.10988 |