Integrable pseudopotentials related to generalized hypergeometric   functions
  We construct integrable pseudopotentials with an arbitrary number of fields in terms of generalized hypergeometric functions. These pseudopotentials yield some integrable (2+1)-dimensional hydrodynamic type systems. An interesting class of integrable (1+1)-dimensional hydrodynamic type systems is also generated by our pseudopotentials. 
Alexander Odesskii, Vladimir Sokolov