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Séminaire : Numerical computation of solitary waves

Le mardi 3 Décembre, de 15 à 16h, Denis Dutykh nous parlera de la modélisation numérique des vagues solitaires

The solitary waves are present in most interesting nonlinear dispersive equations. However, their analytical closed-form expression can be found only in exceptional cases (e.g. KdV, NLS, etc). In this talk, we shall discuss some numerical techniques which can be applied to compute solitary waves in all other cases. In particular, we shall focus on the case of the full Euler equations with the free surface. The case of gravity waves will be mostly treated with the Petviashvili method. However, we shall also present our results for capillary-gravity and even for periodic travelling (cnoidal) waves.