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

Marx Chhay; Denys Dutykh; Didier Clamond

doi:10.1088/1751-8113/49/3/03LT01

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

Marx Chhay
, Denys Dutykh
, Didier Clamond

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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.

Original language	British English
Article number	03LT01
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	49
Issue number	3
DOIs	https://doi.org/10.1088/1751-8113/49/3/03LT01
State	Published - 22 Jan 2016

Keywords

fully nonlinear long waves
Green-Naghdi model
multi-symplectic structure
Serre equations

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10.1088/1751-8113/49/3/03LT01

Cite this

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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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AU - Dutykh, Denys

AU - Clamond, Didier

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N2 - 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.

AB - 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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KW - Green-Naghdi model

KW - multi-symplectic structure

KW - Serre equations

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DO - 10.1088/1751-8113/49/3/03LT01

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

Abstract

Keywords

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