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Long-time asymptotics for the Degasperis-Procesi equation on the half-line
We analyze the long-time asymptotics for the Degasperis--Procesi equation on
the half-line. By applying nonlinear steepest descent techniques to an
associated -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.Comment: 61 pages, 11 figure
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