Nonlinear Perturbation Theory
Pattern Formation and Solitons
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.nlin/0002012,
title = {Nonlinear Perturbation Theory},
author = {Stephanie Rossano and Christian Brouder},
journal= {arXiv preprint arXiv:nlin/0002012},
year = {2007}
}
Comments
4 pages, no figure