Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1897361 | Physica D: Nonlinear Phenomena | 2007 | 12 Pages |
Abstract
The results in general confirm previous conjectures and observations that noise can inhibit energy self-trapping (the discrete counterpart of NLS self-focusing blow-up), while damping can reverse this and restore self-trapping. Damping is also shown to strongly stabilize the self-trapped states of the discrete models. It appears that the previously noted inhibition of nonlinear wave phenomena by noise is an artifact of models that includes the effects of heat input, but not of heat loss.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Brenton LeMesurier, Barron Whitehead,