Prolongation algebra and Backlund transformations of Drinfeld-Sokolov system of equations

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2001-10-20
We show that the Drinfeid-Sokolov system of equations has a nontrivial prolongation structure. The closure process for prolongation algebra gives rise to the sl(4, c) algebra which is used to derive the scattering problem for the system of equations under consideration. The nontrivial new Backlund transformations and some explicit solutions are given.
INTERNATIONAL JOURNAL OF MODERN PHYSICS A

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Citation Formats
E. A. Karasu, “Prolongation algebra and Backlund transformations of Drinfeld-Sokolov system of equations,” INTERNATIONAL JOURNAL OF MODERN PHYSICS A, pp. 4261–4269, 2001, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39089.