The Error Function and The Kink Soliton

Details The Error Function and The Kink Soliton The Error Function and The Kink Soliton

1996-04-18

arxiv.org/abs/cond-mat/9604120v2

Physics

Condensed Matter

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

Scientific paper

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

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