Stability of peakons and periodic peakons for a nonlinear quartic Camassa-Holm equation

Authors

Aiyong Chen
Tongjie Deng
Zhijun Qiao, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

7-2021

Abstract

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.

Comments

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

Recommended Citation

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

Publication Title

Monatshefte für Mathematik

DOI

10.1007/s00605-021-01597-7