Weiss-approach to pair of coupled non-linear reaction-diffusion equations
High Energy Physics - Theory
2016-09-06 v1
Abstract
We consider a pair of coupled non-linear partial differential equations describing a biochemical model system. The Weiss-algorithm for the Painle\'{e} test, that has been succesfully used in mathematical physics for the KdV-equation, Burgers equation, the sine-Gordon equation etc., is applied, and we find that the system possesses only the "conditional" Painlev\'{e} property. We use the outcome of the analysis to construct an auto-B\"{a}cklund transformation, and we find a variety of one and two-parameter families of special solutions.
Keywords
Cite
@article{arxiv.hep-th/9306003,
title = {Weiss-approach to pair of coupled non-linear reaction-diffusion equations},
author = {A. L. Larsen},
journal= {arXiv preprint arXiv:hep-th/9306003},
year = {2016}
}
Comments
12 pages Latex, NORDITA-93/37 P