The Error Function and The Kink Soliton

Abstract

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.

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

Cited by in corpus (1)

• Supersymmetric features of the Error and Dawson's functions