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arXiv · 2303.01232

Boussinesq's equation for water waves: asymptotics in Sector I

Christophe Charlier·Jonatan Lenells
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Abstract

In a recent paper, we showed that the large $(x,t)$ behavior of a class of physically relevant solutions of Boussinesq's equation for water waves is described by ten main asymptotic sectors. In the sector adjacent to the positive $x$-axis, referred to as Sector I, we stated without proof an exact expression for the leading asymptotic term together with an error estimate. Here we provide a proof of this asymptotic formula.

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Christophe Charlier, Jonatan Lenells. 2023-03-02. Boussinesq's equation for water waves: asymptotics in Sector I. https://arxiv.org/abs/2303.01232

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