Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9502980 | Journal of Mathematical Analysis and Applications | 2005 | 25 Pages |
Abstract
This work first considers the classical Lie symmetry analysis of a class of systems of two quasilinear reaction-diffusion equations having variable diffusivities. Subsequently, non-Lie reductions to systems of first order ordinary differential equations are obtained for a subclass of these systems. In particular, families of exact solutions of a diffusive Lotka-Volterra type system are constructed.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Roman Cherniha, John R. King,