Singular sectors of the 1-layer Benney and dToda systems and their interrelations

Details Singular sectors of the 1-layer Benney and dToda systems and their interrelations Singular sectors of the 1-layer Benney and dToda systems and their interrelations

2011-05-30

arxiv.org/abs/1105.5931v1

Physics

Mathematical Physics

15 pages; Theor. Mathem. Physics, 2011

Scientific paper

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.

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