%0 Journal Article
%T The Ostrovsky-Vakhnenko equation on the half-line: a Riemann-Hilbert approach
%A Jian Xu
%A Engui Fan
%J Physics
%D 2015
%I arXiv
%X We analyze an initial-boundary value problem for the Ostrovsky-Vakhnenko equation on the half-line. This equation can be viewed as the short wave model for the Degasperis-Procesi (DP) equation. We show that the solution u(x,t) can be recovered from its initial and boundary values via the solution of a 3\times 3 vector Riemann-Hilbert problem formulated in the complex plane of a spectral parameter z.
%U http://arxiv.org/abs/1508.07556v1