School of Mathematical and Statistical Sciences Faculty Publications and Presentations
In this paper, we study the orbital stability of peakons and periodic peakons for a nonlinear quartic Camassa-Holm equation (QCHE).We first verify that the QCHE has global peakon and periodic peakon solutions. Then by the invariants of the equation and controlling the extrema of the solution, we prove that the shapes of the peakons and periodic peakons are stable under small perturbations in the energy space.
Chen, A., Deng, T. & Qiao, Z. Stability of peakons and periodic peakons for a nonlinear quartic Camassa-Holm equation. Monatsh Math (2021). https://doi.org/10.1007/s00605-021-01597-7
Monatshefte für Mathematik
Copyright © 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature. Original published version available at https://doi.org/10.1007/s00605-021-01597-7