Published: April 28, 2015

Dark-bright soliton solutions with nontrivial polarization interactions for the three-component defocusing nonlinear Schrödinger equation

Barbara Prinari

Department of MathematicsUniversity of Colorado Colorado Springs

Date and time: 

Tuesday, April 28, 2015 - 4:00pm

Location: 

ECOT 226

Abstract: 

In this talk we will present novel dark-bright soliton solutions for the three-component defocusing nonlinear Schrödinger equation with nonzero boundary conditions. The solutions are obtained within the framework of a recently developed inverse scattering transform for the underlying nonlinear integrable PDE, and unlike dark-bright solitons in the two component (Manakov) system in the same dispersion regime, their interactions display non-trivial polarization shift for the two bright components.