  We address the question of the large scale or hydrodynamic behavior of a
2-species generalization of TASEP (2-TASEP), consisting of two kinds of
particles, moving in opposite directions and swapping their positions. We
compute the rarefaction and shock solutions of the hydrodynamic equations of
the model, showing that these equations form a Temple class system. We solve
completely the Riemann problem and compare the theoretical prediction to Monte
Carlo simulations.
