  A connection between the asymptotic behavior of the open quantum walk and the
spectrum of a generalized quantum coins is studied. For the case of
simultaneously diagonalizable transition operators an exact expression for
probability distribution of the position of the walker for arbitrary number of
steps is found. For a large number of steps the probability distribution
consist of maximally two "soliton"-like solution and a certain number of
Gaussian distributions. The number of different contributions to the final
probability distribution is equal to the number of distinct absolute values in
the spectrum of the transition operators. The presence of the zeros in spectrum
is an indicator of the "soliton"-like solutions in the probability
distribution.
