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math.AP2023
Boussinesq's equation for water waves: asymptotics in Sector I
Christophe Charlier, Jonatan Lenells
In a recent paper, we showed that the large behavior of a class of physically relevant solutions of Boussinesq's equation for water waves is described by ten main asymptoti…
math.AP2023
Boussinesq's equation for water waves: the soliton resolution conjecture for Sector IV
Christophe Charlier, Jonatan Lenells
We consider the Boussinesq equation on the line for a broad class of Schwartz initial data relevant for water waves. In a recent work, we identified ten main sectors describing the…
math.AP2023★ 3 cited
Direct and inverse scattering for the Boussinesq equation with solitons
Christophe Charlier, Jonatan Lenells
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 includ…