  We propose the derivation of acoustic-type isotropic partial differential
equations that are equivalent to linear lattice Boltzmann schemes with a
density scalar field and a momentum vector field as conserved moments. The
corresponding linear equivalent partial differential equations are generated
with a new "Berliner version" of the Taylor expansion method. The details of
the implementation are presented. These ideas are applied for the D2Q9, D2Q13,
D3Q19 and D3Q27 lattice Boltzmann schemes. Some limitations associated with
necessary stability conditions are also presented.
