Singular sectors of the 1-layer Benney and dToda systems and their interrelations
Mathematical Physics
2015-05-28 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
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.
Keywords
Cite
@article{arxiv.1105.5931,
title = {Singular sectors of the 1-layer Benney and dToda systems and their interrelations},
author = {B. Konopelchenko and L. Martinez Alonso and E. Medina},
journal= {arXiv preprint arXiv:1105.5931},
year = {2015}
}
Comments
15 pages; Theor. Mathem. Physics, 2011