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Lax pair tensors in arbitrary dimensions

Martin Goliath·Max Karlovini·Kjell Rosquist
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Abstract

A recipe is presented for obtaining Lax tensors for any n-dimensional Hamiltonian system admitting a Lax representation of dimension n. Our approach is to use the Jacobi geometry and coupling-constant metamorphosis to obtain a geometric Lax formulation. We also exploit the results to construct integrable spacetimes, satisfying the weak energy condition.

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Martin Goliath, Max Karlovini, Kjell Rosquist. 1999-01-28. Lax pair tensors in arbitrary dimensions. https://doi.org/10.1088/0305-4470%2F32%2F18%2F311

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