Method d. R. Saparbayeva

Step 5. Substituting (4) together with (5) into equation (3) yields an algebraic equation involving powers of (G^′/G). Equating the coefficients of each power of (G^′/G) to zero gives a system of algebraic equations for a_i , λ, μ and c. Then, we solve the system with the aid of a computer algebra system, such as Maple, to determine
these constants. On the other hand, depending on the sign of the discriminant Δ = λ² − 4μ , the solutions of
equation (5) are well known to us. So, as a final step, we can obtain exact solutions of equation (2).
References
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[3] Zayed Elsayed ME. A note on the modified simple equation method applied to Sharma–Tasso–Olver equation. Appl Math Comput 2011;218:3962–4
[4] N. Taghizadeh a, M. Mirzazadeh a,*, A. Samiei Paghaleh a, J. Vahidi. Exact solutions of nonlinear evolution the modified simple equation method. Ain Shams Engineering Journal (2012) 3, 321–325