Extra dimensions and nonlinear equations

Curtright, Thomas; Fairlie, David

doi:10.1063/1.1543227

Extra dimensions and nonlinear equations

Curtright, Thomas; Fairlie, David

Authors

Thomas Curtright

David Fairlie

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.

Citation

Curtright, T., & Fairlie, D. (2003). Extra dimensions and nonlinear equations. Journal of Mathematical Physics, 44(6), 2692-2703. https://doi.org/10.1063/1.1543227

Journal Article Type	Article
Publication Date	2003-06
Deposit Date	Feb 28, 2008
Publicly Available Date	Apr 26, 2011
Journal	Journal of Mathematical Physics
Print ISSN	0022-2488
Electronic ISSN	1089-7658
Publisher	American Institute of Physics
Peer Reviewed	Peer Reviewed
Volume	44
Issue	6
Pages	2692-2703
DOI	https://doi.org/10.1063/1.1543227
Publisher URL	http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JMAPAQ000044000006002692000001&idtype=cvips&gifs=yes

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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