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Extra dimensions and nonlinear equations.

Curtright, T. and Fairlie, D. (2003) 'Extra dimensions and nonlinear equations.', Journal of mathematical physics., 44 (6). pp. 2692-2703.

Abstract

Solutions of nonlinear multi-component Euler–Monge partial differential equations are constructed in n spatial dimensions by dimension-doubling, a method that completely linearizes the problem. Nonlocal structures are an essential feature of the method. The Euler–Monge equations may be interpreted as a boundary theory arising from a linearized bulk system such that all boundary solutions follow from simple limits of those for the bulk.

Item Type:Article
Full text:PDF - Published Version (107Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1063/1.1543227
Publisher statement:Copyright (2003) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. Curtright, T. and Fairlie, D. (2003) 'Extra dimensions and nonlinear equations.', Journal of mathematical physics., 44 (6). pp. 2692-2703. and may be found at http://dx.doi.org/10.1063/1.1543227
Record Created:28 Feb 2008
Last Modified:26 Apr 2011 15:49

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