Derivation of Amplitude Equations by Renormalization Group Method
patt-sol
2009-10-30 v1 Pattern Formation and Solitons
Abstract
A proper formulation in the perturbative renormalization group method is presented to deduce amplitude equations. The formulation makes it possible not only avoiding a serious difficulty in the previous reduction to amplitude equations by eliminating all of the secular terms but also consistent derivation of higher-order correction to amplitude equations.
Cite
@article{arxiv.patt-sol/9703004,
title = {Derivation of Amplitude Equations by Renormalization Group Method},
author = {Ken-ichi Matsuba and Kazuhiro Nozaki},
journal= {arXiv preprint arXiv:patt-sol/9703004},
year = {2009}
}
Comments
6 page, revtex