The Degasperis-Procesi equation on the half-line
arXiv:1204.5252
Abstract
We analyze a class of initial-boundary value problems for the Degasperis-Procesi equation on the half-line. Assuming that the solution $u(x,t)$ exists, we show that it can be recovered from its initial and boundary values via the solution of a Riemann-Hilbert problem formulated in the plane of the complex spectral parameter $k$.
22 pages, 4 figures, some misprints corrected