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)iQt+Qxx+RQ=0,iSt+Sxx+RS=0,iNt+Nxx+RN=0,Rt+Ry+(|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.