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Direct approach to a group classification problem: Fisher equation with time-dependent coefficients. (English) Zbl 1357.35019

Summary: We perform Lie symmetry analysis of a time-variable coefficient Fisher equation which models reaction-diffusion-convection phenomena in biological, chemical and physical systems. These time-dependent coefficients (model parameters or arbitrary elements) are specified via the direct integration of the classifying relations.

MSC:

35B06 Symmetries, invariants, etc. in context of PDEs
35K57 Reaction-diffusion equations

Software:

YaLie
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Full Text: DOI

References:

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