Characteristic form of boost-invariant and cylindrically non-symmetric   hydrodynamic equations
  It is shown that the boost-invariant and cylindrically non-symmetric hydrodynamic equations for baryon-free matter may be reduced to only two coupled differential equations. In the case where the system exhibits the cross-over phase transition, the standard numerical methods may be applied to solve these equations and the proposed scheme allows for a very convenient analysis of the cylindrically non-symmetric hydrodynamic expansion. 
Mikolaj Chojnacki, Wojciech Florkowski