Dark-bright soliton solutions with nontrivial polarization interactions

Dark-bright soliton solutions with nontrivial polarization
interactions for the three-component defocusing nonlinear
Schrödinger equation
Barbara Prinari
Department of Mathematics, University of Colorado Colorado Springs, Colorado, U.S.A.
and
Dipartimento di Matematica e Fisica e Sezione INFN, Università del Salento, Lecce, Italy
email: [email protected]
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 coupled partial differential
equations, 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.
References:
1. G. Biondini, D.K. Kraus, B. Prinari, Comm. Math. Phys., to appear (2016).
2. G. Biondini, D. Kraus, B. Prinari and F. Vitale, J. Phys. A, 48, 395202 (2015).
3. B. Prinari, G. Biondini and F. Vitale, J. Math. Phys. 56, 071505 (2015).