Bow shocks around pulsars and neutron stars

Abstract Pulsar wind nebulae are now well-established as important probes both of neutron stars’ relativistic winds and of the surrounding interstellar medium. Amongst this diverse group of objects, pulsar bow shocks have long been regarded as an oddity, only seen around a handful of rapidly moving neutron stars. However, recent efforts at optical, radio and X-ray wavelengths have identified many new pulsar bow shocks, and these results have consequently motivated renewed theoretical efforts to model these systems. Here, I review the new results and ideas which have emerged on these spectacular systems, and explain how bow shocks and “Crab-like” nebulae now form a consistent picture within our understanding of pulsar winds.