Integrable systems in higher dimensions

Fairlie, D.B.

doi:10.1143/PTPS.118.309

Integrable systems in higher dimensions

D.B. Fairlie
(
- Durham U.
)

1995

19 pages

Part of Quantum field theory, integrable models and beyond. Proceedings, YITP Workshop, Kyoto, Japan, February 14-17, 1994

Published in:

Prog.Theor.Phys.Suppl. 118 (1995) 309-327

Contribution to:

Workshop on Quantum Field Theory, Integrable Models and Beyond

DOI:

10.1143/PTPS.118.309

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Abstract: (Oxford Journals)

This article reviews a class of Universal Field Equations which, besides exhibiting general covariance, are shown to arise from an iterative procedure, starting with a general Lagrangian dependent only on first derivatives of the fields. These equations are integrable using a Legendre transformation. They arise from consistency requirements on the Lagrangian equations of incompressible fluid flow. Multi-field generalisations, and the application to the homogeneous Monge Ampère equation are included. An analysis of the requirement of an infinite number of inequivalent Lagrangian descriptions concludes this review.

talk: Kyoto 1994/02/14
field equations: universality
integrability
dimension: >2
Bateman equation

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