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Konopelchenko, Boris and Martínez Alonso, Luis and Medina, E. (2011) Singular sectors of the one-layer Benney and dispersionless Toda systems and their interrelations. Theoretical and mathematical physics, 168 (1). pp. 963-973. ISSN 0040-5779
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Official URL: http://dx.doi.org/10.1007/s11232-011-0078-y
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.
Item Type: | Article |
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Additional Information: | ©Springer. |
Uncontrolled Keywords: | Nonlinear schrodinger-equation; Hydrodynamic symmetries; Whitham equations; Deformations; Hierarchy; Curves |
Subjects: | Sciences > Physics > Physics-Mathematical models Sciences > Physics > Mathematical physics |
ID Code: | 34173 |
Deposited On: | 06 Nov 2015 15:59 |
Last Modified: | 10 Dec 2018 15:09 |
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