Prolongation Algebra and Backlund Transformations of Drinfeld-Sokolov System of Equations

Details Prolongation Algebra and Backlund Transformations of Drinfeld-Sokolov System of Equations Prolongation Algebra and Backlund Transformations of Drinfeld-Sokolov System of Equations

2001-04-19

arxiv.org/abs/nlin/0104045v1

Int.J.Mod.Phys.A, 16 (2001) 4261-4269.

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pages

Scientific paper

10.1142/S0217751X01005390

We show that the Drinfeld-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.

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