Analysis of characteristics of rogue waves for higher-order equations

For various nonlinear physical equations, we describe the features of their rogue waves using simplified forms of their intensities and also by finding ‘volumes’. We present some analysis relating to other higher-order equations, that can be relevant to studies of optical fibres, ocean waves and other aspects of physics. These are related to several low-order KdV and mKdV equations. We investigate details of formations consisting of a central rogue wave with 1 or more solitons emerging from it. We thus classify solutions into rogue waves, semi-rogue waves and formations consisting of a ‘central rogue with soliton tails’.