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A multi-symplectic numerical integrator for the two-component Camassa Holm equation
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
Department of Mathematical Informatics, Graduate School of System of Information Science and Technology, The University of Tokyo, Japan.
Applied Mathematics, SINTEF ICT, Oslo, Norway ; Department of Mathematical Science, NTNU Trondheim, Norway.
2014 (English)In: Journal of Nonlinear Mathematical Physics, ISSN 1402-9251, Vol. 21, no 3, 442-453 p.Article in journal (Refereed) Published
Abstract [en]

A new multi-symplectic formulation of the two-component Camassa-Holm equation (2CH) is presented, and the associated local conservation laws are shown to correspond to certain well-known Hamiltonian functionals. A multi-symplectic discretisation based on this new formulation is exemplified by means of the Euler box scheme. Furthermore, this scheme preserves exactly two discrete versions of the Casimir functions of 2CH. Numerical experiments show that the proposed numerical scheme has good conservation properties.

Place, publisher, year, edition, pages
Taylor & Francis, 2014. Vol. 21, no 3, 442-453 p.
Keyword [en]
Two-component Camassa-Holm equation, Hamiltonian PDE, Casimir function, Numerical discretisation, Multi-symplectic formulation, Multi-symplectic schemes, Euler box scheme
National Category
Mathematics Physical Sciences
URN: urn:nbn:se:umu:diva-95301DOI: 10.1080/14029251.2014.936763ISI: 000342326200008OAI: diva2:758338
Available from: 2014-10-27 Created: 2014-10-27 Last updated: 2014-10-27Bibliographically approved

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Cohen, David
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