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

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Karasu A., Yurdusen İ.

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, vol.16, no.26, pp.4261-4269, 2001 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 16 Issue: 26
• Publication Date: 2001
• Doi Number: 10.1142/s0217751x01005390
• Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS A
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.4261-4269
• Hacettepe University Affiliated: No

Abstract

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.