Conservative finite difference schemes for the modified Camassa-Holm equation
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We consider the numerical integration of the modified Camassa-Holm equation, which has been recently proposed by McLachlan and Zhang (2009) as a generalization of the prominent Camassa-Holm equation. We present nonlinear and linear finite difference schemes for the modified equation that preserve two invariants at a same time. We also show some numerical examples of the presented schemes, where it is found that certain solutions of the mCH can behave like solitons.
- JSIAM Letters
JSIAM Letters 3(0), 37-40, 2011
The Japan Society for Industrial and Applied Mathematics