Renormalization Group Method and Reductive Perturbation Method
patt-sol
2009-10-30 v1 Pattern Formation and Solitons
Abstract
It is shown that the renormalization group method does not necessarily eliminate all secular terms in perturbation series to partial differential equations and a functional subspace of renormalizable secular solutions corresponds to a choice of scales of independent variables in the reductive perturbation method.
Cite
@article{arxiv.patt-sol/9702001,
title = {Renormalization Group Method and Reductive Perturbation Method},
author = {Ken-ichi Matsuba and Kazuhiro Nozaki},
journal= {arXiv preprint arXiv:patt-sol/9702001},
year = {2009}
}
Comments
5 pages, latex