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The Initial-boundary Value Problem for the Ostrovsky-Vakhnenko Equation on the Half-line

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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 vector Riemann-Hilbert problem formulated in the plane of a complex spectral parameter z.

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Authors and Affiliations

  1. College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, People’s Republic of China

    Jian Xu

  2. School of Mathematical Sciences, Key Laboratory of Mathematics for Nonlinear Science, Fudan University, Shanghai, 200433, People’s Republic of China

    Engui Fan

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  1. Jian Xu
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  2. Engui Fan
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Correspondence to Jian Xu.

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Xu, J., Fan, E. The Initial-boundary Value Problem for the Ostrovsky-Vakhnenko Equation on the Half-line. Math Phys Anal Geom 19, 20 (2016). https://doi.org/10.1007/s11040-016-9223-z

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