Nonlinear Perturbation Theory

Details Nonlinear Perturbation Theory Nonlinear Perturbation Theory

2000-02-09

arxiv.org/abs/nlin/0002012v1

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, no figure

Scientific paper

An explicit perturbative solution to all orders is given for a general class of nonlinear differential equations. This solution is written as a sum indexed by rooted trees and uses the Green function of a linearization of the equations. The modifications due to the presence of zero-modes is considered. Possible divergence of the integrals can be avoided by using approximate Green functions.

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