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- W2149295173 abstract "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." @default.
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- W2149295173 date "2011-07-01" @default.
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- W2149295173 title "Singular sectors of the one-layer Benney and dispersionless Toda systems and their interrelations" @default.
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- W2149295173 doi "https://doi.org/10.1007/s11232-011-0078-y" @default.
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