I overview some theoretical work in the area of rogue waves, also termed as freak waves or high-amplitudes waves. These special wave structures emerge in a broad class of physical settings: hydrodynamics, optics and photonics, and Bose-Einstein condensates. The connection with earlier work on families of solitons in dispersive optic fibers is also pointed out [see, D. Mihalache and N. C. Panoiu, Analytic method for solving the nonlinear Schroedinger equation describing pulse propagation in dispersive optic fibres, J. Phys. A: Math. Gen. 26, 2679 (1993)].

References:

S. Chen and D. Mihalache, Vector rogue waves in the Manakov system: diversity and compossibility, J. Phys. A: Math. Theor. 48, 215202 (2015).
S. Chen, F. Baronio, J. M. Soto-Crespo, P. Grelu, and D. Mihalache, Versatile rogue waves in scalar, vector, and multidimensional nonlinear systems, J. Phys. A: Math. Theor. 50, 463001 (2017).
B. A. Malomed and D. Mihalache, Nonlinear waves in optical and matter-wave media: A topical survey of recent theoretical and experimental results, Romanian Journal of Physics 64, 106 (2019).