A new construction of recursion operators for systems of hydrodynamic type (Q1586694)

This paper deals with two-dimensional systems of hydrodynamic type in the sense of Dubrovin and Novikov. The systems which the authors consider are associated with a generalized Euler-Poisson-Darboux (EPD) linear wave equation in the sense that for each such wave equation they construct a family of commuting triple of recursion operators. Then the authors construct ladder operators of these wave equation with which it is possible to generate hierarchies of connected solutions. The authors show that recursion operators obtained in this way not always coincide with those of Sheftel and Teshukov.