  Physical processes in the tail of the solar wind interaction region with the
partially ionized local interstellar medium are investigated in a framework of
the self-consistent kinetic-gas dynamic model. It is shown that the charge
exchange process of the hydrogen atoms with the plasma protons results in
suppression of the gas dynamic instabilities and disappearance the contact
discontinuity at sufficiently (~3000 AU) large distances from the Sun. The
solar wind plasma temperature decreases and, ultimately, the parameters of the
plasma and hydrogen atoms approach to the corresponding parameters of the
unperturbed interstellar medium at large heliocentric distances.
