New analytical solutions for the coupled nonlinear Maccari’s system

In this present study using the new analytical method to the coupled nonlinear Maccari’s system in following form (1) iQ t + Q xx + RQ = 0 , iS t + S xx + RS = 0 , iN t + N xx + RN = 0 , R t + R y + ( | Q + S + N | 2 ) x = 0 We obtain new class of exact traveling wave solutions for this system. This work shows that the new extension of the ( G ′/ G )-expansion method is sufficient, effective and suitable for solving other nonlinear evolution equations; it deserves further applying and studying as well. To our knowledge, the solutions obtained in this paper have not been reported in the literature so far.