Singular sectors of the 1-layer Benney and dToda systems and their   interrelations
  Complete description of the singular sectors of the 1-layer Benney system (classical long wave equation) and dToda system is presented. Associated Euler-Poisson-Darboux equations E(1/2,1/2) and E(-1/2,-1/2) are the main tool in the analysis. A complete list of solutions of the 1-layer Benney system depending on two parameters and belonging to the singular sector is given. Relation between Euler-Poisson-Darboux equations E(a,a) with opposite sign of a is discussed. 
B. Konopelchenko, L. Martinez Alonso, E. Medina
math-ph math.MP nlin.SI