Z3-symmetric conformal algebra from KdV-type equation

Abstract
The authors construct, by using the KdV-Virasoro connection, Z3-symmetric conformal algebra from the KdV-type equation; the Boussinesq equation. Also they find that the Miura transformation of the Boussinesq equation is equivalent to the definition of the energy-momentum tensor, T, and the spin-3 field, W.