English

The Error Function and The Kink Soliton

Condensed Matter 2008-02-03 v2

Abstract

We provide analytical functions approximating ex2dx\int e^{-x^2} dx, the basis of which is the kink soliton and which are both accurate (error <0.2< 0.2 %) and simple. We demonstrate our results with some applications, particularly to the generation of Gaussian random fields.

Cite

@article{arxiv.cond-mat/9604120,
  title  = {The Error Function and The Kink Soliton},
  author = {B. A. Bassett},
  journal= {arXiv preprint arXiv:cond-mat/9604120},
  year   = {2008}
}

Comments

15 pages, 5 eps figure, Latex2e. To appear in Letters in Applied Mathematics. Significant additions and modifications