Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665140 | Advances in Mathematics | 2016 | 31 Pages |
Abstract
In this paper, a modified two-component Camassa–Holm system with the effect of the Coriolis force in the rotating fluid is derived, which is a model in the equatorial water waves. The effects of the Coriolis force caused by the Earth's rotation and nonlocal nonlinearities on blow-up criteria and wave-breaking phenomena are then investigated. Our refined analysis relies on the method of characteristics and conserved quantities and is proceeded with the Riccati-type differential inequality. Finally, conditions which guarantee the permanent waves are obtained by using a method of the Lyapunov function.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Lili Fan, Hongjun Gao, Yue Liu,