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Direct and inverse scattering for the Boussinesq equation with solitons

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arxiv 2302.14593 v1 pith:CE54WDI7 submitted 2023-02-28 math.AP math-phmath.MP

Christophe Charlier , Jonatan Lenells This is my paper · ORCID
classification math.APmath-phmath.MP
keywords solitonsapproachboussinesqequationinversescatteringcasedeveloped
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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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  1. Soliton solutions associated with a class of third-order ordinary linear differential operators

    nlin.SI 2024-12 conditional novelty 6.0 of 10

    Soliton solutions of the Sawada-Kotera and modified bad Boussinesq equations are derived from reflectionless inverse scattering data, explaining the origin of Hirota's constants.

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