  Sr2RuO4 is at present the best candidate for being a superconducting analogue
of the triplet superfluidity in ^3He. This material is a good (albeit
correlated) Fermi liquid in the normal state and an exotic superconductor below
Tc. The mechanism of superconductivity and symmetry of the order parameter are
the main puzzling issues of on-going research. Here we present the results of
our search for a viable description of the superconducting state realised in
this material. Our calculations are based on a three-dimensional effective
three-band model with a realistic band structure. We have found a state with
non-zero order parameter on each of the three sheets of the Fermi surface. The
corresponding gap in the quasi-particle spectrum has line or point nodes on the
alpha and beta sheets and is complex with no nodes on the gamma sheet. This
state describes remarkably well a number of existing experiments including
power low temperature dependence of the specific heat, penetration depth,
thermal conductivity etc. The stability of the state with respect to disorder
and different interaction parameters are also analyzed briefly.
