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On a generalized Fisher equation

✍ Scribed by Ashfaque H. Bokhari; Radwan Ali A. Al-Rubaee; F.D. Zaman

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
205 KB
Volume
16
Category
Article
ISSN
1007-5704

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✦ Synopsis

A generalized non-linear Fisher equation in cylindrical coordinates with radial symmetry is studied from Lie symmetry point of view. In the classical Fisher equation the reaction diffusion term is replaced with a general function to accommodate more equations of this type. Moreover, the diffusivity is assumed to be a function of the dependent variable to account for many real situations. An attempt is made to classify the diffusivity function and exact solutions are obtained in some cases.

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