Conservative finite difference schemes for the modified Camassa-Holm equation
Author:
Affiliation:
1. Graduate School of Information Science and Technology, The University of Tokyo
2. Cybermedia Center, Osaka University
Publisher
The Japan Society for Industrial and Applied Mathematics
Link
https://www.jstage.jst.go.jp/article/jsiaml/3/0/3_0_37/_pdf
Reference11 articles.
1. [1] R. McLachlan and X. Zhang, Well-posedness of modified Camassa-Holm equations, J. Differential Equations, 246 (2009), 3241-3259.
2. [2] D. Cohen and X. Raynaud, Geometric finite difference schemes for the generalized hyperelastic-rod wave equation, J. Comput. Appl. Math., 235 (2011), 1925-1940.
3. [3] T. Matsuo, A Hamiltonian-conserving Galerkin scheme for the Camassa-Holm equation, J. Comput. Appl. Math., 234 (2010), 1258-1266.
4. [4] T. Matsuo and H. Yamaguchi, An energy-conserving Galerkin scheme for a class of nonlinear dispersive equations, J. Comput. Phys., 228 (2009), 4346-4358.
5. [5] K. Takeya, Conservative finite difference schemes for the Camassa-Holm equation (in Japanese), Master's Thesis, Osaka Univ., 2007.
Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. The effect of a noise on the stochastic modified Camassa–Holm equation;Journal of Mathematical Physics;2020-09-01
2. Invariants-preserving integration of the modified Camassa–Holm equation;Japan Journal of Industrial and Applied Mathematics;2011-07-05
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