Conservation Laws and Exact Solutions for a Reaction-Diffusion Equation with a Variable Coefficient

الملخص EN

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 b ( x ) 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.