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, cilt.16, sa.26, ss.4261-4269, 2001 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 26
  • Basım Tarihi: 2001
  • Doi Numarası: 10.1142/s0217751x01005390
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4261-4269
  • Hacettepe Üniversitesi Adresli: Hayır

Özet

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.