Travelling Wave Solution of the Fisher-Kolmogorov Equation with Non-Linear Diffusion
نویسندگان
چکیده
منابع مشابه
Travelling Wave Solution of the Fisher-Kolmogorov Equation with Non-Linear Diffusion
In this paper we study one-dimensional Fisher-Kolmogorov equation with density dependent non-linear diffusion. We choose the diffusion as a function of cell density such that it is high in highly cell populated areas and it is small in the regions of fewer cells. The Fisher equation with non-linear diffusion is known as modified Fisher equation. We study the travelling wave solution of modified...
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Lie symmetry group method is applied to study the Fisher-Kolmogorov equation. The symmetry group is given, and travelling wave solutions are obtained. Finally the conservation laws are determined.
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At the heart of this article will be the study of a branching Brownian motion (BBM) with killing, where individual particles move as Brownian motions with drift −ρ, perform dyadic branching at rate β and are killed on hitting the origin. Firstly, by considering properties of the right-most particle and the extinction probability, we will provide a probabilistic proof of the classical result tha...
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ژورنال
عنوان ژورنال: Applied Mathematics
سال: 2013
ISSN: 2152-7385,2152-7393
DOI: 10.4236/am.2013.48a021