Self-similar solutions for the Kardar-Parisi-Zhang interface dynamic equation

Details Self-similar solutions for the Kardar-Parisi-Zhang interface dynamic equation Self-similar solutions for the Kardar-Parisi-Zhang interface dynamic equation

2011-12-13

arxiv.org/abs/1112.2870v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

8 pages, 4 figures, it is submitted to Eur. Phys. J. B

Scientific paper

In this article we will present a study of the well-known
Kardar-Parisi-Zhang(KPZ) model. Under certain conditions we have found analytic
self-similar solutions for the underlying equation. The results are strongly
related to the error functions. One and two spatial dimensions are considered
with different kind of self-similar Ansaetze.

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