Jost solutions and direct scattering for the continuum Calogero-Moser equation
Analysis of PDEs
2025-10-14 v1 Spectral Theory
Exactly Solvable and Integrable Systems
Abstract
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.
Keywords
Cite
@article{arxiv.2510.11403,
title = {Jost solutions and direct scattering for the continuum Calogero-Moser equation},
author = {Rupert L. Frank and Larry Read},
journal= {arXiv preprint arXiv:2510.11403},
year = {2025}
}
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66 pages