On the multi-symplectic structure of the Serre-Green-Naghdi equations
Analysis of PDEs
2020-02-20 v3 Exactly Solvable and Integrable Systems
Atmospheric and Oceanic Physics
Fluid Dynamics
Geophysics
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.
Keywords
Cite
@article{arxiv.1511.00612,
title = {On the multi-symplectic structure of the Serre-Green-Naghdi equations},
author = {Marx Chhay and Denys Dutykh and Didier Clamond},
journal= {arXiv preprint arXiv:1511.00612},
year = {2020}
}
Comments
10 pages, 1 figure, 30 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/