Stability for the periodic Camassa-Holm equation

Jonatan Lenells

doi:10.7146/math.scand.a-14971

Stability for the periodic Camassa-Holm equation

Authors

Jonatan Lenells

DOI:

https://doi.org/10.7146/math.scand.a-14971

Abstract

We use integrability to prove the stability of smooth periodic solutions of the Camassa-Holm equation. In particular, the smooth periodic traveling wave solutions are shown to be orbitally stable.

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Published

2005-12-01

How to Cite

Lenells, J. (2005). Stability for the periodic Camassa-Holm equation. MATHEMATICA SCANDINAVICA, 97(2), 188–200. https://doi.org/10.7146/math.scand.a-14971