Geometric Solutions to Non-linear Differential Equations

Details Geometric Solutions to Non-linear Differential Equations Geometric Solutions to Non-linear Differential Equations

2005-03-25

arxiv.org/abs/physics/0503194v1

Physics

General Physics

12 pages, LaTeX

Scientific paper

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.

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