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arXiv · 1508.07556

The Ostrovsky-Vakhnenko equation on the half-line: a Riemann-Hilbert approach

Jian Xu·Engui Fan
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Abstract

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.

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Jian Xu, Engui Fan. 2015-08-30. The Ostrovsky-Vakhnenko equation on the half-line: a Riemann-Hilbert approach. https://arxiv.org/abs/1508.07556

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