修正 Camassa-Holm 方程峰孤子的稳定性
偏微分方程分析
2013-04-24 v2
摘要
本文研究了源自二维 Euler 方程的具有立方非线性的修正 Camassa-Holm 方程峰孤子的轨道稳定性。通过克服由其中一个复杂守恒律引起的困难并引入一个新的辅助函数，我们证明了该方程峰孤子的轨道稳定性。
引用
@article{arxiv.1304.4038,
title = {Stability of peakons for a modified Camassa-Holm equation},
author = {Xingxing Liu and Zhaoyang Yin},
journal= {arXiv preprint arXiv:1304.4038},
year = {2013}
}
备注
This paper has been withdrawn by the authors due that the same result is already contained in the paper written by Changzheng Qu, Xiaochuan Liu, and Yue Liu, titled "Stability of Peakons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