Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1901231 | Wave Motion | 2016 | 12 Pages |
Abstract
•The multicanonical algorithm is found to predict accurately the probability of extremely rare rogue wave events.•A simple parametrization for the rogue wave amplitude as a function of nonlinearity is presented.•A rapid Runge–Kutta algorithm is developed for rogue wave propagation.
The multicanonical procedure is applied to the nonlinear Schrödinger equation in conjunction with a high order finite difference solution procedure to determine the probability distribution function (pdf) of rogue wave power and heights. The analysis demonstrates a logarithmic dependence of the slope of the pdf on the nonlinearity coefficient at large heights.
Related Topics
Physical Sciences and Engineering
Earth and Planetary Sciences
Geology
Authors
Ming Tong, David Yevick,