Boussinesq’s equation for water waves: the soliton resolution conjecture for Sector IV

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 asymptotic behavior of the solution, and for each of these sectors we gave an exact expression for the leading asymptot...

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Bibliographic Details
Main Authors: Charlier Christophe, Lenells Jonatan
Format: Article
Language:English
Published: De Gruyter 2025-01-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2023-0154
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