Geometric Solutions to Non-linear Differential Equations
General Physics
2007-05-23 v1
Abstract
A general formalism to solve nonlinear differential equations is given. Solutions are found and reduced to those of second order nonlinear differential equations in one variable. The approach is uniformized in the geometry and solves generic nonlinear systems. Further properties characterized by the topology and geometry of the associated manifolds may define global properties of the solutions.
Keywords
Cite
@article{arxiv.physics/0503194,
title = {Geometric Solutions to Non-linear Differential Equations},
author = {Gordon Chalmers},
journal= {arXiv preprint arXiv:physics/0503194},
year = {2007}
}
Comments
12 pages, LaTeX