Weakly versus highly nonlinear dynamics in 1D systems

Details Weakly versus highly nonlinear dynamics in 1D systems Weakly versus highly nonlinear dynamics in 1D systems

2005-10-20

arxiv.org/abs/nlin/0510047v1

Nonlinear Sciences

Pattern Formation and Solitons

to be published in Europhys. Lett

Scientific paper

10.1209/epl/i2005-10333-6

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.

Affiliated with

Also associated with

No associations

Rating

Weakly versus highly nonlinear dynamics in 1D systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Weakly versus highly nonlinear dynamics in 1D systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Weakly versus highly nonlinear dynamics in 1D systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-475808