1304.4038Apr 15, 2013This paper has been withdrawn by the authors due that the same result is already contained in the paper written by Changzheng Qu, Xiaochuan Liu, and Yue Liu, titled "Stability of Peakons for an integrable modified Camassa-Holm equation with cubic nonlinearity", which was accepted and will be published in Communications in Mathematical Physics soon. Many thanks for their emails and information
Stability of peakons for a modified Camassa-Holm equation
Xingxing Liu, Zhaoyang Yin
Abstract
In this paper, we investigate the orbital stability of peakons for a modified Camassa-Holm equation with cubic nonlinearity derived from the two-dimensional Euler equation. By overcoming the difficulties caused by one of the complicated conservation laws and introducing a new auxiliary function, we prove the orbital stability of peakons for the equation.