In this paper a variable-coefficient reaction-diffusion equation is studied. We classify the equation into three kinds by different restraints imposed on the variable coefficient in the process of solving the determining equations of Lie groups. Then, for each kind, the conservation laws corresponding to the symmetries obtained are considered. Finally, some exact solutions are constructed.
Zhijie Cao. Yiping Lin. "Conservation Laws and Exact Solutions for a Reaction-Diffusion Equation with a Variable Coefficient." Abstr. Appl. Anal. 2014 (SI47) 1 - 8, 2014. https://doi.org/10.1155/2014/476829