Approximate asymptotic solutions to the d-dimensional fisher equation

Puri, S. ; Elder, K. R. ; Desai, Rashmi C. (1989) Approximate asymptotic solutions to the d-dimensional fisher equation Physics Letters A, 142 (6-7). pp. 357-360. ISSN 0375-9601

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/037596...

Related URL: http://dx.doi.org/10.1016/0375-9601(89)90381-2

Abstract

We present approximate asymptotic solution to the Fisher equation in arbitrary dimensions for a broad class of initial conditions. Specifically, we consider the case of domain growth from a seed in a zero background. Our analytic solution for this case has an asymptotic velocity of 2 in all dimensions. In one dimension, our solution for this case compares well with a numerical simulations of the Fisher equation.

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