Derivation of Non-isotropic Phase Equations from a General Reaction-Diffusion Equation
arXiv:nlin/0009003 · doi:10.1016/S0167-2789(00)00212-8
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.
21pages,no figures