Zhu, MinWang, YingChen, Lei2022-11-072022-11-072021-12-27Zhu, 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. 1-14.1072-6691https://hdl.handle.net/10877/16285We 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.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalCamassa-Holm equationModified Camassa-Holm equationAsymptotic methodNovikov equationCurvature blow-upArticle