Journal Articles Journal of Physics A: Mathematical and Theoretical Year : 2016

On the multi-symplectic structure of the Serre-Green-Naghdi equations

Abstract

In this short note, we present a multi-symplectic structure of the Serre-Green-Naghdi (SGN) equations modelling nonlinear long surface waves in shallow water. This multi-symplectic structure allow the use of efficient finite difference or pseudo-spectral numerical schemes preserving exactly the multi-symplectic form at the discrete level.
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Dates and versions

hal-01221356 , version 1 (27-10-2015)
hal-01221356 , version 2 (23-11-2015)

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Marx Chhay, Denys Dutykh, Didier Clamond. On the multi-symplectic structure of the Serre-Green-Naghdi equations. Journal of Physics A: Mathematical and Theoretical, 2016, 49 (3), pp.03LT01. ⟨10.1088/1751-8113/49/3/03LT01⟩. ⟨hal-01221356v2⟩
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