  The frequency dependence of dynamical conductivity of the
quasi-one-dimensional structures with hydrogen bonds is studied on the basis of
pseudospin-electron model. It takes into account the proton-electron
interaction, external longitudinal field h, the tunneling hopping of protons,
electron transfer and direct interaction between protons. The dependences of
the electron concentration and mean number of protons at the site on
temperature and external field are obtained. The phase transition lines from
uniform phase into charge ordered phase are determined. The dependence of
dynamical conductivity on temperature and field $h$ and its changes at the
phase transitions are obtained.
