Analytical Properties for the Fifth Order Camassa-Holm (FOCH) Model

Authors

Mingxuan Zhu
Lu Cao
Zaihong Jiang
Zhijun Qiao, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

9-2021

Abstract

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.

Comments

© 2021 The Authors. Published by Atlantis Press B.V.

Recommended Citation

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.

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License

Publication Title

Journal of Nonlinear Mathematical Physics

DOI

10.2991/jnmp.k.210519.001