@article{Guo2022, 
author = {Yunxi Guo and Ying Wang},
title = {The Cauchy problem to a gkCH equation with peakon solutions},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {7},
pages = {12781-12801},
keywords = {L2k estimate, blow-up solutions, blow-up phenomena, peakon solutions, generalized Camassa-Holm equation},
url = {https://www.sciopen.com/article/10.3934/math.2022707},
doi = {10.3934/math.2022707},
abstract = {Considered in this paper is a generalized Camassa-Holm equation, which includes both the Camassa-Holm equation and the Novikov equation as two special cases. Firstly, two blow-up criteria are established for the generalized Camassa-Holm equation. Then we derive two blow-up phenomena, where a new        L          2      k       estimate plays a crucial role. In addition, we also show that peakon solutions are global weak solutions.}
}