Barbara Prinari, SUNY Buffalo, presents this seminar.

In this talk we discuss soliton and rogue wave solutions for certain matrix nonlinear Schrodinger equations, both with zero and non-zero boundary conditions, as they are obtained as a by-product of the Inverse Scattering Transform (IST). The class of equations includes two systems which have been proposed as a model to describe hyperfine spin F = 1 spinor Bose-Einstein condensates with either repulsive inter-atomic interactions and anti-ferromagnetic spin-exchange interactions, or attractive inter-atomic interactions and ferromagnetic spin-exchange interactions, as well as two novel reductions. Emphasis will be given to a discussion of the solutions; some details on the IST will be given, if time permits, in the last part of the talk.