Stability of multipeakons
arXiv:0803.0261 · doi:10.1016/j.anihpc.2009.02.002
Abstract
The Camassa-Holm equation possesses well-known peaked solitary waves that are called peakons. Their orbital stability has been established by Constantin and Strauss (2000). We prove here the stability of ordered trains of peakons. We also establish a result on the stability of multipeakons.
References in corpus (1)
Cited by in corpus (20)
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- A liouville property with application to asymptotic stability for the camassa-holm equation
- Smooth and Peaked Solitons of the CH equation
- Long time behaviour for a class of low-regularity solutions of the Camassa-Holm equation
- A view of the peakon world through the lens of approximation theory
- Stability in the energy space of the sum of N peakons for the Degasperis-Procesi equation
- A Remark on the Stability of Peakons for the Degasperis-Procesi Equation
- Smoothness of the flow map for low-regularity solutions of the Camassa-Holm equations
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- On the Cauchy problem of a weakly dissipative HS equation
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- Existence and Uniqueness of Global Weak solutions of the Camassa-Holm Equation with a Forcing
- Stability of peakons for the generalized modified Camassa-Holm equation
- Symmetries and multipeakon solutions for the modified two-component Camassa-Holm system
- Stability of peakons of the Camassa-Holm equation beyond wave breaking
- A rigidity result for the Holm-Staley b-family of equations with application to the asymptotic stability of the Degasperis-Procesi peakon