Geometric finite difference schemes for the generalized hyperelastic-rod wave equation

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چکیده

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Geometric finite difference schemes for the generalized hyperelastic-rod wave equation

Geometric integrators are presented for a class of nonlinear dispersive equations which includes the Camassa-Holm equation, the BBM equation and the hyperelasticrod wave equation. One group of schemes is designed to preserve a global property of the equations: the conservation of energy; while the other one preserves a more local feature of the equations: the multi-symplecticity.

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ژورنال

عنوان ژورنال: Journal of Computational and Applied Mathematics

سال: 2011

ISSN: 0377-0427

DOI: 10.1016/j.cam.2010.09.015