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

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× 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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