Solitons and rogue waves for certain square matrix nonlinear Schrodinger equations
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.