Symmetry reductions of a particular set of equations of associativity in   twodimensional topological field theory
  The WDVV equations of associativity arising in twodimensional topological field theory can be represented, in the simplest nontrivial case, by a single third order equation of the Monge-Ampe`re type. By investigating its Lie point symmetries, we reduce it to various nonlinear ordinary differential equations, and we obtain several new explicit solutions. 
Robert Conte (CEA-Saclay), Maria Luz Gandarias (Universidad de Ca'diz)