arXiv · gr-qc/0104011
Geometrization of the Lax Pair Tensors
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 spacetimes admitting Lax tensors are analyzed in detail. Solutions to Lax tensor equations include interesting examples as separable coordinates and the Toda lattice.
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D. Baleanu, S. Baskal. 2001-04-03. Geometrization of the Lax Pair Tensors. https://doi.org/10.1142/s0217732300001924
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