
Previous Article
The hypercircle theorem for elastic shells and the accuracy of Novozhilov's simplified equations for general cylindrical shells
 DCDSB Home
 This Issue

Next Article
Resonant oscillations of an inhomogeneous gas in a closed cylindrical tube
Higherorder shallow water equations and the CamassaHolm equation
1.  School of Mathematics and Maxwell Institute for Mathematical Sciences, The King's Buildings, University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom 
[1] 
Stephen C. Anco, Elena Recio, María L. Gandarias, María S. Bruzón. A nonlinear generalization of the CamassaHolm equation with peakon solutions. Conference Publications, 2015, 2015 (special) : 2937. doi: 10.3934/proc.2015.0029 
[2] 
Min Zhu, Shuanghu Zhang. Blowup of solutions to the periodic modified CamassaHolm equation with varying linear dispersion. Discrete and Continuous Dynamical Systems, 2016, 36 (12) : 72357256. doi: 10.3934/dcds.2016115 
[3] 
Min Zhu, Ying Wang. Blowup of solutions to the periodic generalized modified CamassaHolm equation with varying linear dispersion. Discrete and Continuous Dynamical Systems, 2017, 37 (1) : 645661. doi: 10.3934/dcds.2017027 
[4] 
Delia IonescuKruse. Variational derivation of the CamassaHolm shallow water equation with nonzero vorticity. Discrete and Continuous Dynamical Systems, 2007, 19 (3) : 531543. doi: 10.3934/dcds.2007.19.531 
[5] 
Yongsheng Mi, Boling Guo, Chunlai Mu. Persistence properties for the generalized CamassaHolm equation. Discrete and Continuous Dynamical Systems  B, 2020, 25 (5) : 16231630. doi: 10.3934/dcdsb.2019243 
[6] 
Yu Gao, JianGuo Liu. The modified CamassaHolm equation in Lagrangian coordinates. Discrete and Continuous Dynamical Systems  B, 2018, 23 (6) : 25452592. doi: 10.3934/dcdsb.2018067 
[7] 
Yongsheng Mi, Boling Guo, Chunlai Mu. On an $N$Component CamassaHolm equation with peakons. Discrete and Continuous Dynamical Systems, 2017, 37 (3) : 15751601. doi: 10.3934/dcds.2017065 
[8] 
Helge Holden, Xavier Raynaud. Dissipative solutions for the CamassaHolm equation. Discrete and Continuous Dynamical Systems, 2009, 24 (4) : 10471112. doi: 10.3934/dcds.2009.24.1047 
[9] 
Zhenhua Guo, Mina Jiang, Zhian Wang, GaoFeng Zheng. Global weak solutions to the CamassaHolm equation. Discrete and Continuous Dynamical Systems, 2008, 21 (3) : 883906. doi: 10.3934/dcds.2008.21.883 
[10] 
Defu Chen, Yongsheng Li, Wei Yan. On the Cauchy problem for a generalized CamassaHolm equation. Discrete and Continuous Dynamical Systems, 2015, 35 (3) : 871889. doi: 10.3934/dcds.2015.35.871 
[11] 
Milena Stanislavova, Atanas Stefanov. Attractors for the viscous CamassaHolm equation. Discrete and Continuous Dynamical Systems, 2007, 18 (1) : 159186. doi: 10.3934/dcds.2007.18.159 
[12] 
Aiyong Chen, Xinhui Lu. Orbital stability of elliptic periodic peakons for the modified CamassaHolm equation. Discrete and Continuous Dynamical Systems, 2020, 40 (3) : 17031735. doi: 10.3934/dcds.2020090 
[13] 
Li Yang, Zeng Rong, Shouming Zhou, Chunlai Mu. Uniqueness of conservative solutions to the generalized CamassaHolm equation via characteristics. Discrete and Continuous Dynamical Systems, 2018, 38 (10) : 52055220. doi: 10.3934/dcds.2018230 
[14] 
Shouming Zhou, Chunlai Mu. Global conservative and dissipative solutions of the generalized CamassaHolm equation. Discrete and Continuous Dynamical Systems, 2013, 33 (4) : 17131739. doi: 10.3934/dcds.2013.33.1713 
[15] 
Yongsheng Mi, Chunlai Mu. On a threeComponent CamassaHolm equation with peakons. Kinetic and Related Models, 2014, 7 (2) : 305339. doi: 10.3934/krm.2014.7.305 
[16] 
Shihui Zhu. Existence and uniqueness of global weak solutions of the CamassaHolm equation with a forcing. Discrete and Continuous Dynamical Systems, 2016, 36 (9) : 52015221. doi: 10.3934/dcds.2016026 
[17] 
Feng Wang, Fengquan Li, Zhijun Qiao. On the Cauchy problem for a higherorder μCamassaHolm equation. Discrete and Continuous Dynamical Systems, 2018, 38 (8) : 41634187. doi: 10.3934/dcds.2018181 
[18] 
Danping Ding, Lixin Tian, Gang Xu. The study on solutions to CamassaHolm equation with weak dissipation. Communications on Pure and Applied Analysis, 2006, 5 (3) : 483492. doi: 10.3934/cpaa.2006.5.483 
[19] 
Priscila Leal da Silva, Igor Leite Freire. An equation unifying both CamassaHolm and Novikov equations. Conference Publications, 2015, 2015 (special) : 304311. doi: 10.3934/proc.2015.0304 
[20] 
Stephen Anco, Daniel Kraus. Hamiltonian structure of peakons as weak solutions for the modified CamassaHolm equation. Discrete and Continuous Dynamical Systems, 2018, 38 (9) : 44494465. doi: 10.3934/dcds.2018194 
2020 Impact Factor: 1.327
Tools
Metrics
Other articles
by authors
[Back to Top]