TY - JOUR AU - Konopelchenko, Boris AU - Martínez Alonso, Luis AU - Medina, E. PY - 2011 DO - 10.1007/s11232-011-0078-y SN - 0040-5779 UR - https://hdl.handle.net/20.500.14352/44790 T2 - Theoretical and mathematical physics AB - We completely describe the singular sectors of the one-layer Benney system (classical long-wave equation) and dispersionless Toda system. The associated Euler-Poisson-Darboux equations E(1/2, 1/2) and E(-1/2,-1/2) are the main tool in the analysis. We... LA - eng M2 - 963 PB - Springer KW - Nonlinear schrodinger-equation KW - Hydrodynamic symmetries KW - Whitham equations KW - Deformations KW - Hierarchy KW - Curves TI - Singular sectors of the one-layer Benney and dispersionless Toda systems and their interrelations TY - journal article VL - 168 ER -