Enhancement of the Benjamin-Feir instability with dissipation

Details Enhancement of the Benjamin-Feir instability with dissipation Enhancement of the Benjamin-Feir instability with dissipation

2007-09-10

arxiv.org/abs/0709.1379v1

Physics

Classical Physics

15 pages, 2 figures To download more papers, go to http://www.cmla.ens-cachan.fr/~dias. Physics of Fluids (2007) to appear

Scientific paper

10.1063/1.2780793

It is shown that there is an overlooked mechanism whereby some kinds of dissipation can enhance the Benjamin-Feir instability of water waves. This observation is new, and although it is counterintuitive, it is due to the fact that the Benjamin-Feir instability involves the collision of modes with opposite energy sign (relative to the carrier wave), and it is the negative energy perturbations which are enhanced.

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