Solutions of the vector nonlinear Schrödinger equations: evidence for deterministic rogue waves

Phys Rev Lett. 2012 Jul 27;109(4):044102. doi: 10.1103/PhysRevLett.109.044102. Epub 2012 Jul 26.

Abstract

We construct and discuss a semirational, multiparametric vector solution of coupled nonlinear Schrödinger equations (Manakov system). This family of solutions includes known vector Peregrine solutions, bright- and dark-rogue solutions, and novel vector unusual freak waves. The vector rogue waves could be of great interest in a variety of complex systems, from optics and fluid dynamics to Bose-Einstein condensates and finance.