Jost solutions and direct scattering for the continuum Calogero-Moser equation

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.

Institutions

Centre National de la Recherche Scientifique (FR)
Université Paris-Saclay (FR)

Publication Details

Journal: ArXiv.org
Published: 2025-10-13
Primary Topic: Nonlinear Waves and Solitons
Type: article
Field-Weighted Citation Impact: 0.00

Funders

National Science Foundation
European Commission
Deutsche Forschungsgemeinschaft

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article

Jost solutions and direct scattering for the continuum Calogero-Moser equation

Oct 13, 2025

ArXiv.org

Nonlinear Waves and Solitons

article

Jost solutions and direct scattering for the continuum Calogero-Moser equation

October 13, 2025article en

Abstract

ArXiv.org

Centre National de la Recherche Scientifique (FR), Université Paris-Saclay (FR)

National Science Foundation, European Commission, Deutsche Forschungsgemeinschaft

Openalex Percentile: Top 48%

Nonlinear Waves and Solitons

Open Access PDF OpenAlex

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Jost solutions and direct scattering for the continuum Calogero-Moser equation · ArXiv.org (2025) | TGRS Research Map | TGRS