Direct and inverse scattering for the Boussinesq equation with solitons

2023/02/28 by Christophe Charlier, Jonatan Lenells, Charlier, Christophe +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2302.14593

openalex publication_date 2023/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

In a recent paper, we developed an inverse scattering approach to the Boussinesq equation in the case when no solitons are present. In this paper, we extend this approach to include solutions with solitons.

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