Jost solutions and direct scattering for the continuum Calogero-Moser equation
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908589571964928 |
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| author | Frank, Rupert L. Read, Larry |
| author_facet | Frank, Rupert L. Read, Larry |
| contents | We propose an inverse scattering transform for the continuum Calogero-Moser equation. We give a rigorous treatment of the direct scattering problem by constructing the associated Jost solutions and introducing a distorted Fourier transform, as well as deriving trace formulas for the eigenvalues of the Lax operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_11403 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Jost solutions and direct scattering for the continuum Calogero-Moser equation Frank, Rupert L. Read, Larry Analysis of PDEs Spectral Theory Exactly Solvable and Integrable Systems Primary: 35P25, Secondary: 37K15, 35A22 We propose an inverse scattering transform for the continuum Calogero-Moser equation. We give a rigorous treatment of the direct scattering problem by constructing the associated Jost solutions and introducing a distorted Fourier transform, as well as deriving trace formulas for the eigenvalues of the Lax operator. |
| title | Jost solutions and direct scattering for the continuum Calogero-Moser equation |
| topic | Analysis of PDEs Spectral Theory Exactly Solvable and Integrable Systems Primary: 35P25, Secondary: 37K15, 35A22 |
| url | https://arxiv.org/abs/2510.11403 |