Geometrization of the Lax Pair Tensors
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BRONZE
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Yes
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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.
Description
Baskal, Sibel/0000-0002-3795-7565
ORCID
Keywords
Killing-Yano tensors, Nonlinear Sciences - Exactly Solvable and Integrable Systems, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Mathematical Physics (math-ph), General Relativity and Quantum Cosmology, supersymmetry, Lax pair equations, Exactly Solvable and Integrable Systems (nlin.SI), Geometrodynamics and the holographic principle, Toda lattice, Mathematical Physics, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry
Fields of Science
01 natural sciences, 0103 physical sciences
Citation
Baleanu, D; Baskal, S, "Geometrization of the Lax pair tensors", Modern Physics Letters A, Vol. 15, No. 24, pp. 1503-1510, (2000).
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OpenCitations Citation Count
7
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Volume
15
Issue
24
Start Page
1503
End Page
1510
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CrossRef : 7
Scopus : 6
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6
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10
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4
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