Extra dimensions and nonlinear equations

Thomas Curtright, David Fairlie

Research output: Contribution to journalArticle

5 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)2692-2703
Number of pages12
JournalJournal of Mathematical Physics
Volume44
Issue number6
DOIs
StatePublished - Jun 1 2003

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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