This paper devotes to present analysiswork on the fifth order Camassa-Holm (FOCH) modelwhich recently proposed by Liu and Qiao. Firstly, we establish the local and global existence of the solution to the FOCH model. Secondly, we study the property of the infinite propagation speed. Finally, we discuss the long time behavior of the support of momentum density with a compactly supported initial data.
Zhu, Mingxuan, Lu Cao, Zaihong Jiang, and Zhijun Qiao. 2021. “Analytical Properties for the Fifth Order Camassa-Holm (FOCH) Model.” Journal of Nonlinear Mathematical Physics 28 (3): 321–36. https://doi.org/10.2991/jnmp.k.210519.001.
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Journal of Nonlinear Mathematical Physics