  Chimera states, which consist of coexisting domains of coherent and
incoherent parts, have been observed in a variety of systems. Most of previous
works on chimera states have taken into account specific form of interaction
between oscillators, for example sinusoidal coupling or diffusive coupling.
Here, we investigate chimera dynamics in nonlocally coupled phase oscillators
with biharmonic interaction. We find novel chimera states with features such as
that oscillators in the same coherent cluster may split into two groups with a
phase difference between them at around pi/2 and that oscillators in adjacent
coherent clusters may have a phase difference close to pi/2. The different
impacts of the coupling ranges in the first and the second harmonic
interactions on chimera dynamics are investigated based on the synchronous
dynamics in globally coupled phase oscillators. Our study suggests a new
direction in the field of chimera dynamics.
