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  • The Degasperis–Procesi equa...
    Lenells, Jonatan

    Nonlinear analysis, January 2013, 2013-1-00, 20130101, 2013, Volume: 76, Issue: 1
    Journal Article

    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.