  The article summarizes the studies of wave fields in structured
non-equilibrium media describing by means of nonlocal hydrodynamic models. Due
to the symmetry properties of models, we derived the invariant wave solutions
satisfying autonomous dynamical systems. Using the methods of numerical and
qualitative analysis, we have shown that these systems possess periodic,
multiperiodic, quasiperiodic, chaotic, and soliton-like solutions. Bifurcation
phenomena caused by the varying of nonlinearity and nonlocality degree are
investigated as well.
