  We show that depending on the values of the coupling constants, two different
scenarios for the stationary behavior of a chain of interacting spasers may be
realized: (1) all the spasers are synchronized and oscillate with a unique
phase and (2) a nonlinear autowave travels along the chain. In the latter
scenario, the traveling wave is harmonic unlike excitations in other known
nonlinear systems. The amplitude of this wave is determined by pumping and the
wavenumber is determined by the coupling constants. Due to the nonlinear nature
of the system, any initial distribution of spasers' states evolves into one of
these steady states.
