  In our work a hierarchy of integrable vector nonlinear differential equations
depending on the functional parameter $r$ is constructed using a monodromy
matrix. The first equation of this hierarchy for
$r=\alpha(\mathbf{p}^t\mathbf{q})$ is vector analogue of the Kundu-Eckhaus
equation. When $\alpha=0$, the equations of this hierarchy turn into equations
of the Manakov system hierarchy. New elliptic solutions to vector analogue of
the Kundu-Eckhaus and Manakov system are presented. In conclusion, it is shown
that there exist linear transformations of solutions to vector integrable
nonlinear equations into other solutions to the same equations.
