Article ID Journal Published Year Pages File Type
4627293 Applied Mathematics and Computation 2014 13 Pages PDF
Abstract

We find the Lie point symmetries of a nonlinear population model, i.e. a second-order reaction–diffusion equation with a variable coefficient b(x)b(x) and classify the model into three kinds. Then, with the help of the Lie point symmetries and self-adjointness of each kind, using a general theorem on conservation law (Ibragimov, 2007), we establish the conservation laws corresponding to every Lie point symmetry obtained. In addition, some exact solutions are constructed.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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