Derivation of Non-isotropic Phase Equations from a General Reaction-Diffusion Equation
Pattern Formation and Solitons
2009-10-31 v1
Abstract
A non-isotropic version of phase equations such as the Burgers equation, the K-dV-Burgers equation, the Kuramoto-Sivashinsky equation and the Benney equation in the three-dimensional space is systematically derived from a general reaction-diffusion system by means of the renormalization group method.
Keywords
Cite
@article{arxiv.nlin/0009003,
title = {Derivation of Non-isotropic Phase Equations from a General Reaction-Diffusion Equation},
author = {Y. Masutomi and K. Nozaki},
journal= {arXiv preprint arXiv:nlin/0009003},
year = {2009}
}
Comments
21pages,no figures