Stability in the energy space of the sum of N peakons for the Degasperis-Procesi equation
arXiv:1601.07674 · doi:10.1016/j.jde.2015.03.014
Abstract
The Degasperis-Procesi equation possesses well-known peaked solitary waves that are called peakons. Their stability has been established by Lin and Liu in [5]. In this paper, we localize the proof (in some suitable sense detailed in Section 3) of the stability of a single peakon. Thanks to this, we extend the result of stability to the sum of N peakons traveling to the right with respective speeds c1, . . . , cN , such that the difference between consecutive locations of peakons is large enough.
arXiv admin note: text overlap with arXiv:0803.0261 by other authors
References in corpus (1)
Cited by in corpus (4)
- A view of the peakon world through the lens of approximation theory
- A Remark on the Stability of Peakons for the Degasperis-Procesi Equation
- Orbital stability of two-component peakons
- A rigidity result for the Holm-Staley b-family of equations with application to the asymptotic stability of the Degasperis-Procesi peakon