Extra Dimensions and Nonlinear Equations
Mathematical Physics
2009-11-07 v1 High Energy Physics - Theory
Analysis of PDEs
math.MP
Fluid Dynamics
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.
Keywords
Cite
@article{arxiv.math-ph/0207008,
title = {Extra Dimensions and Nonlinear Equations},
author = {Thomas Curtright and David Fairlie},
journal= {arXiv preprint arXiv:math-ph/0207008},
year = {2009}
}
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