Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841392 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 9 Pages |
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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Authors
Yanggeng Fu, Zhengrong Liu, Xingyu Yang,