Multi-symplectic structure of fully-nonlinear weakly-dispersive internal gravity waves
Classical Physics
2020-02-20 v1 Analysis of PDEs
Classical Analysis and ODEs
Pattern Formation and Solitons
Exactly Solvable and Integrable Systems
Abstract
In this short communication we present the multi-symplectic structure for the two-layer Serre-Green-Naghdi equations describing the evolution of large amplitude internal gravity long waves. We consider only a two-layer stratification with rigid bottom and lid for simplicity, generalisations to several layers being straightforward. This multi-symplectic formulation allows the application of various multi-symplectic integrators (such as Euler or Preissman box schemes) that preserve exactly the multi-symplecticity at the discrete level.
Cite
@article{arxiv.1604.00361,
title = {Multi-symplectic structure of fully-nonlinear weakly-dispersive internal gravity waves},
author = {Didier Clamond and Denys Dutykh},
journal= {arXiv preprint arXiv:1604.00361},
year = {2020}
}
Comments
15 pages, 1 figure, 15 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/