Potential waves in one dimension

Some properties of one-dimensional potential waves are discussed. In particular it is shown that wave equations of this kind admit an infinity of local conservation laws with densities and fluxes depending on the fields only. This set of conserved quantities has a simple structure. In some cases this structure can be made explicite by means of a principle of conserved flux. A close relation between this set of conserved quantities and solutions of the hodograph equations has been found