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Infinite propagation speed for a two component Camassa-Holm equation
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Stability of multi antipeakon-peakons profile
Generalised Fourier transform and perturbations to soliton equations
1. | School of Electronic Engineering, Dublin City University, Glasnevin, Dublin 9, Ireland |
2. | School of Mathematical Sciences, Dublin Institute of Technology, Kevin Street, Dublin 8, Ireland |
The GFT provides a natural setting for the analysis of small perturbations to an integrable equation: starting from a purely soliton solution one can 'modify' the soliton parameters such as to incorporate the changes caused by the perturbation.
As illustrative examples the perturbed equations of the KdV hierarchy, in particular the Ostrovsky equation, followed by the perturbation theory for the Camassa-Holm hierarchy are presented.
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