Linearization of universal field equations

Fairlie, David B.;Govaerts, Jan
(1993) Journal of Physics A: Mathematical and Theoretical — Vol. 26, n° 13, p. 3339-3347 (1993)

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  • Fairlie, David B.
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  • Govaerts, Janorcid-logoUCLouvain
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Abstract
(en) The Universal Field Equations, recently constructed as examples of higher dimensional dynamical systems which admit an infinity of inequivalent Lagrangians are shown to be linearised by a Legendre transformation. This establishes the conjecture that these equations describe integrable systems. While this construction is implicit in general, there exists a large class of solutions for which an explicit form may be written. Comment: 11pp., DTP-92/47, NI-92/011
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Fairlie, D. B., & Govaerts, J. (1993). Linearization of universal field equations. Journal of Physics A: Mathematical and Theoretical, 26(13), 3339-3347. https://hdl.handle.net/2078.5/257381 (Original work published 1993)