  We apply the nested algebraic Bethe ansatz to a model of one-dimensional
two-component Bose gas with delta-function repulsive interaction. Using a
lattice approximation of the L-operator we find Bethe vectors of the model in
the continuous limit. We also obtain a series representation for the monodromy
matrix of the model in terms of Bose fields. This representation allows us to
study an asymptotic expansion of the monodromy matrix over the spectral
parameter.
