Journal of Applied Sciences1812-56541812-5662orgz10.3923/jas.2011.3454.3463AbazariReza1220111120In this study, nonlinear coupled Schrödinger equation is solved using two recent semi-analytic methods, Differential Transform Method (DTM) and reduced form of differential transformation method (so called RDTM). The concepts of DTM and RDTM is briefly introduced and their application for nonlinear coupled Schrödinger equations are studied. The results obtained employing DTM and RDTM are compared together and exact solution. As an important result, it is depicted that the RDTM results are more accurate in comparison with those obtained by classic DTM. The numerical results reveal that the RDTM is very effective, convenient and quite accurate to systems of nonlinear equations. It is predicted that the RDTM can be found widely applicable in engineering.]]>Ablowitz, M.J. and H. Segur,1981Tam H.W and X.B. Hu,2002Hirota, R.,2004Borhanifar, A. and R. Abazari,2009Freeman, N.C. and J.J.C. Nimmo,1983Shabani S.A. and R. Abazari,2009Adomian, G.,1994Liao, S.J., 2003Zhou, J.K.,1986Ayaz, F.,2004Arikoglu, A. and I. Ozkol,2006Borhanifar, A. and R. Abazari,2011Borhanifar, A. and R. Abazari,2010Abazari, R. and A. Borhanifar,2010Abazari, R. and M. Ganji,2011Abazari, R. and M. Abazari,2012Reza, A. and R. Abazari,2010Abazari, R.,2009Menyuk, C.R.,1988Chow, K.W.,2001Chow, K.W. and D.W.C. Lai,2003Cipolatti, R. and W. Zumpichiatti,2000Biswas, A. and C.M. Khalique,2010Cattani, C.,2005Wadati, M., T.T. Izuka and M. Hisakado,1992He, J.H.,1999