  In the present paper we will discuss the Faddeev-Jackiw symplectic approach
in the analysis of a charged compressible fluid immersed in a higher-derivative
electromagnetic field theory. We have obtained the full set of constraints
directly from the zero-mode eigenvectors. Besides, we have computed the Dirac
brackets for the dynamic variables of the compressible fluid. Finally, as a
result of the coupling between the charged compressible fluid and the
electromagnetic field we have calculated two Dirac brackets between the fluid
and electromagnetic fields, which are both zero when there is no coupling
between them.
