Related Topics

In this chapter, we cover several topics which are different from rogue waves in previous chapters but yet are closely related to them. One topic is rogue waves on a nonuniform-amplitude background, which contrasts such rogue waves in earlier chapters which sit on a uniform-amplitude background. Another topic is robustness of rogue waves under perturbations, which is a physically important question. The third topic is partial-rogue waves, which “come from nowhere but leave with a trace”, as opposed to rogue waves which “come from nowhere and disappear with no trace”. The last topic is patterns of higher-order lumps in the Kadomtsev-Petviashvili I equation. Although this last topic is very different from rogue patterns, the phenomena and mathematical treatments of the two have a lot in common.