Abstract We study fundamental dark-bright solitons and their interaction of vector nonlinear Schrödinger
equations in both focusing and defocusing regimes. Classification of possible types soliton solutions is
given. There are two types of solitons in the defocusing case and four types of solitons in the focusing
case. The number of possible variations of the two-soliton solutions depends on this classification.
We demonstrate that only special types of two-soliton solutions in the focusing regime can generate
breathers of scalar nonlinear Schrödinger equation. The cases of solitons with equal and unequal
velocities in the superposition are considered. Numerical simulations confirmed the validity of our
exact solutions.