  Kuramoto and Battogtokh [Nonlinear Phenom. Complex Syst. 5, 380 (2002)]
discovered chimera states represented by stable coexisting synchrony and
asynchrony domains in a lattice of coupled oscillators. After reformulation in
terms of local order parameter, the problem can be reduced to partial
differential equations. We find uniformly rotating periodic in space chimera
patterns as solutions of a reversible ordinary differential equation, and
demonstrate a plethora of such states. In the limit of neutral coupling they
reduce to analytical solutions in form of one- and two-point chimera patterns
as well as localized chimera solitons. Patterns at weakly attracting coupling
are characterized by virtue of a perturbative approach. Stability analysis
reveals that only simplest chimeras with one synchronous region are stable.
