期刊
PHYSICA D-NONLINEAR PHENOMENA
卷 304, 期 -, 页码 23-33出版社
ELSEVIER
DOI: 10.1016/j.physd.2015.04.001
关键词
Deep water approximation; Spectral methods; Travelling waves; Periodic waves; Stability
资金
- ERC [ERC-2011-AdG 290562-MULTIWAVE]
- CNRS under the PEPS Inphyniti project FARA
In this study, we discuss an approximate set of equations describing water wave propagating in deep water. These generalised 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. (C) 2015 Elsevier B.V. All rights reserved.
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