Curvature blow-up for the periodic CH-mCH-Novikov equation
| dc.contributor.author | Zhu, Min | |
| dc.contributor.author | Wang, Ying | |
| dc.contributor.author | Chen, Lei | |
| dc.date.accessioned | 2022-11-07T14:10:11Z | |
| dc.date.available | 2022-11-07T14:10:11Z | |
| dc.date.issued | 2021-12-27 | |
| dc.description.abstract | We study the CH-mCH-Novikov equation with cubic nonlinearity, which is derived by an asymptotic method from the classical shallow water theory. This model can be related to three different important shallow water equations: CH equation, mCH equation and Novikov equation. We show the curvature blow-up of the CH-mCH-Novikov equation by the method of characteristics and conserved quantities to the Riccati-type differential inequality. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Zhu, M., Wang, Y., & Chen, L. (2021). Curvature blow-up for the periodic CH-mCH-Novikov equation. <i>Electronic Journal of Differential Equations, 2021</i>(103), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16285 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Camassa-Holm equation | |
| dc.subject | Modified Camassa-Holm equation | |
| dc.subject | Asymptotic method | |
| dc.subject | Novikov equation | |
| dc.subject | Curvature blow-up | |
| dc.title | Curvature blow-up for the periodic CH-mCH-Novikov equation | |
| dc.type | Article |