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De Monvel, Anne Boutet; Lenells, Jonatan; Shepelsky, Dmitry
Annales de l'Institut Fourier, 2019, Volume: 69, Issue: 1Journal Article
We analyze the long-time asymptotics for the Degasperis- Procesi equation on the half-line. By applying nonlinear steepest descent techniques to an associated 3 x 3-matrix valued Riemann-Hilbert problem, we find an explicit formula for the leading order asymptotics of the solution in the similarity region in terms of the initial and boundary values.
