2000/02/09 by Stephanie Rossano, Rossano, Stephanie, Christian Brouder +1
Physics and Astronomy · #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #nlin.PS
paper · pdf · doi:10.48550/arxiv.nlin/0002012
4 pages, no figure
arxiv created 2000/02/09 · arxiv updated 2009/11/30
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.