Integrable Quasiclassical Deformations of Cubic Curves
  A general scheme for determining and studying hydrodynamic type systems describing integrable deformations of algebraic curves is applied to cubic curves. Lagrange resolvents of the theory of cubic equations are used to derive and characterize these deformations. 
Y. Kodama, B. Konopelchenko, L. Martinez Alonso and E. Medina