  We demonstrate for a nonlinear photonic system that two highly asymmetric
feedback delays can induce a variety of emergent patterns which are highly
robust during the system's global evolution. Explicitly, two-dimensional
chimeras and dissipative solitons become visible upon a space-time
transformation. Switching between chimeras and dissipative solitons requires
only adjusting two system parameters, demonstrating self-organization
exclusively based on the system's dynamical properties. Experiments were
performed using a tunable semiconductor laser's transmission through a
Fabry-Perot resonator resulting in an Airy function as nonlinearity. Resulting
dynamics were band-pass filtered and propagated along two feedback paths whose
time delays differ by two orders of magnitude. An excellent agreement between
experimental results and theoretical model given by modified Ikeda equations
was achieved.
