A system of interacting relativistic bosons at finite temperatures and isospin densities is studied within the framework of the Skyrmelike meanfield model. The mean field contains both attractive and repulsive terms. The consideration is taken within the framework of the Canonical Ensemble and the isospindensity dependencies of thermodynamic quantities is obtained, in particular as the phase diagrams. It is shown that in such a system, in addition to the formation of a BoseEinstein condensate, a liquidgas phase transition is possible. We prove that the multiboson system develops the Bose condensate for particles of highdensity component only.
Majorana representation for the nonlinear two-mode boson system