Weakly versus highly nonlinear dynamics in 1D systems
斑图形成与孤子
2009-11-11 v1
摘要
We analyze the morphological transition of a one-dimensional system described by a scalar field, where a flat state looses its stability. This scalar field may for example account for the position of a crystal growth front, an order parameter, or a concentration profile. We show that two types of dynamics occur around the transition: weakly nonlinear dynamics, or highly nonlinear dynamics. The conditions under which highly nonlinear evolution equations appear are determined, and their generic form is derived. Finally, examples are discussed.
引用
@article{arxiv.nlin/0510047,
title = {Weakly versus highly nonlinear dynamics in 1D systems},
author = {O. Pierre-Louis},
journal= {arXiv preprint arXiv:nlin/0510047},
year = {2009}
}
备注
to be published in Europhys. Lett