Extra Dimensions and Nonlinear Equations
数学物理
2009-11-07 v1 高能物理 - 理论
偏微分方程分析
math.MP
流体动力学
摘要
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.
引用
@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}
}
备注
Scientific Workplace LATEX