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arXiv · 2603.11951

The "good" Boussinesq equation on the half-line: a Riemann-Hilbert approach

Christophe Charlier·Jonatan Lenells
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Abstract

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 $3\times 3$ Riemann-Hilbert problem that depends only on the initial and boundary values, and whose jump contour consists of twelve half-lines.

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Christophe Charlier, Jonatan Lenells. 2026-03-12. The "good" Boussinesq equation on the half-line: a Riemann-Hilbert approach. https://arxiv.org/abs/2603.11951

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