Numerical study of the generalised Klein-Gordon equations
Classical Physics
2020-02-20 v2 Atmospheric and Oceanic Physics
Fluid Dynamics
Abstract
In this study, we discuss an approximate set of equations describing water wave propagating in deep water. These generalized Klein-Gordon (gKG) equations possess a variational formulation, as well as a canonical Hamiltonian and multi-symplectic structures. Periodic travelling wave solutions are constructed numerically to high accuracy and compared to a seventh-order Stokes expansion of the full Euler equations. Then, we propose an efficient pseudo-spectral discretisation, which allows to assess the stability of travelling waves and localised wave packets.
Cite
@article{arxiv.1308.2521,
title = {Numerical study of the generalised Klein-Gordon equations},
author = {Denys Dutykh and Marx Chhay and Didier Clamond},
journal= {arXiv preprint arXiv:1308.2521},
year = {2020}
}
Comments
24 pages, 10 figures, 56 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/