Relation Between Two Approaches of the Colour Hydrodynamics

It is argued that the short time scale phenomena can be studied within the framework of hydrodynamics in the quark-gluon plasma. There are two different versions of the hydrodynamic-like equations in the literature. In this work we discuss the possible relationship between these versions. In particular we show that if the colour charges associated with the velocity and density matrices in the matrix version of hydrodynamics are same then both the versions of the hydrodynamics become identical.