  In the present contribution, we explore a host of different stationary
states, namely dark-bright solitons and their lattices, that arise in the
context of multi-component atomic Bose-Einstein condensates. The latter, are
modeled by systems of coupled Gross-Pitaevskii equations with general
interaction (nonlinearity) coefficients $g_{ij}$. It is found that in some
particular parameter ranges such solutions can be obtained in analytical form,
however, numerically they are computed as existing in a far wider parametric
range. Many features of the solutions under study, such as their analytical
form without the trap or the stability/dynamical properties of one dark-bright
soliton even in the presence of the trap are obtained analytically and
corroborated numerically. Additional features, such as the stability of soliton
lattice homogeneous states or their existence/stability in the presence of the
trap, are examined numerically.
