Enhancement of the Benjamin-Feir instability with dissipation
arXiv:0709.1379 · doi:10.1063/1.2780793
Abstract
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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