Article ID Journal Published Year Pages File Type
841392 Nonlinear Analysis: Theory, Methods & Applications 2010 9 Pages PDF
Abstract

In this paper, we study the orbital stability of the peakons for the Degasperis–Procesi equation with a strong dispersive term on the line. Using the method in [Z. Lin, Y. Liu, Stability of peakons for the Degasperis–Procesi equation, Comm. Pure Appl. Math. 62 (2009) 125–146], we prove that the shapes of these peakons are stable under small perturbations. Some previous results are extended.

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