  We discuss the integrability properties of the Boussinesq equations in the
language of geometrical quantities defined on an appropriately chosen coset
manifold connected with the $W_{3}$ algebra of Zamolodchikov. We provide a
geometrical interpretation to the commuting conserved quantities, Lax-pair
formulation, zero-curvature representation, Miura maps, etc. in the framework
of nonlinear realization method.
