One Dimensional Optimal System and Exact Solutions of the Fitness Equations

In this paper, by applying the Lie symmetry method we will obtain the lie symmetry group of the Fitnessequation. Also the one dimensional optimal system of Lie algebra is obtained. Using the optimal system,similarity reductions of this equation will be constructed and some group invariant solutions are obtained.

کلیدواژه ها:

Lie symmetries ، Lie symmetry group ، Infinitesimal generators ، Optimal System