Numerical study of the generalised Klein-Gordon equations
Résumé
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.
Domaines
Mécanique des fluides [physics.class-ph] Mécanique des fluides [physics.class-ph] Physique Générale [physics.gen-ph] Dynamique des Fluides [physics.flu-dyn] Physique Atmosphérique et Océanique [physics.ao-ph] Formation de Structures et Solitons [nlin.PS] Systèmes Solubles et Intégrables [nlin.SI] Equations aux dérivées partielles [math.AP] Analyse numérique [math.NA] Analyse classique [math.CA] Physique Numérique [physics.comp-ph]Origine | Fichiers produits par l'(les) auteur(s) |
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