RT Journal Article
T1 Singular sectors of the one-layer Benney and dispersionless Toda systems and their interrelations
A1 Konopelchenko, Boris
A1 Martínez Alonso, Luis
A1 Medina, E.
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 give a complete list of solutions of the one-layer Benney system depending on two parameters and belonging to the singular sector. We discuss the relation between Euler-Poisson-Darboux equations E(ɛ, ɛ) with the opposite sign of ɛ.
PB Springer
SN 0040-5779
YR 2011
FD 2011-07
LK https://hdl.handle.net/20.500.14352/44790
UL https://hdl.handle.net/20.500.14352/44790
LA eng
NO ©Springer.This work was supported by the Spanish Ministerio de Educación y Ciencia (Research Project No. FIS2008-00200/FIS).
NO Ministerio de Educación y Ciencia, Spain
DS Docta Complutense
RD 12 abr 2025