Coherent structures are interfaces between wave trains: they are time-periodic in an appropriate coordinate frame and resemble plane waves with possibly different wavenumbers in the farfield. We propose a classification of defects into four different classes which have all been observed experimentally. The characteristic distinguishing these classes is the sign of the group velocities of the wave trains to either side of the interface, measured relative to the speed of the interface. We also describe stability, multiplicity, robustness, and interaction properties which all depend crucially on the type of the coherent structures.