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math.AP2026
The "good" Boussinesq equation on the half-line: a Riemann-Hilbert approach
Christophe Charlier, Jonatan Lenells
We consider the ``good" Boussinesq equation on the half-line. Assuming existence of the solution, we prove that it can be recovered from the solution of a Riemann-Hilbe…
math.AP2024
Blow-up solutions of the "bad" Boussinesq equation
Christophe Charlier
We study blow-up solutions of the ``bad" Boussinesq equation, and prove that a wide range of asymptotic scenarios can happen. For example, for each , and…
math.AP2020★ 62 cited
The "good'' Boussinesq equation: long-time asymptotics
C. Charlier, J. Lenells, D. Wang
We consider the initial-value problem for the ``good'' Boussinesq equation on the line. Using inverse scattering techniques, the solution can be expressed in terms of the solution…