  In this paper we introduce a framework for modeling the short wave-long wave
interactions in the relativistic context. In this context the nonlinear
Schr\"odinger equation is no longer suitable for describing short waves and is
replaced by a Klein-Gordon equation. Two specific examples are considered: the
case where the long waves are governed by a relativistic Burgers equation; and
the case where the long waves are governed by the augmented Born-Infeld
equations in electromagnetism.
