Geometrization of the Lax pair tensors

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Baleanu D., Baskal S.

MODERN PHYSICS LETTERS A, vol.15, no.24, pp.1503-1510, 2000 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 24
  • Publication Date: 2000
  • Doi Number: 10.1142/s0217732300001924
  • Journal Name: MODERN PHYSICS LETTERS A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1503-1510
  • Middle East Technical University Affiliated: No

Abstract

The tensorial form of the Lax pair equations are given in a compact and geometrically transparent form in the presence of Cartan's torsion tensor. Three-dimensional space-times admitting Lax tensors are analyzed in detail. Solutions to Lax tensor equations include interesting examples as separable coordinates and the Toda lattice.