Solitons of two-component Bose-Einstein condensates modulated in space and time $^{b}$Departamento de F´ısica, Universidade Federal da Para ´ıba, 58.051-970, Jo˜ ao Pessoa - Para´ıba, Brazil $^{c}$Instituto de F´ısica, Universidade de S ˜ ao Paulo, 05314-970, S˜ ao Paulo, SP, Brazil In this paper we present soliton solutions of two coupled nonlinear Schr¨ odinger equations modulated in space and time. The approach allows us to obtain solitons for a large variety of solutions depending on the nonlinearity and potential profiles. As examples we sh ow three cases with soliton solutions: a solution for the case of a potential changing from repulsive to attractive behavior, and the other two solutions corresponding to localized and delocalized nonlinearity terms, respectively. PACS numbers: 05.45.Yv, 03.75.Lm, 42.65.Tg Keywords: Nonlinear Schr¨odinger equation, coupled Bose-Einstein condensates, bright and dark solitons arXiv:1001.2130v2[quant-ph]19 Jan 2010 ∗ Corresponding author. E-mail addresses:: bazeia@fisica.ufpb.br (D. Bazeia), hus sein@if.usp.br (M.S. Hussein). 1 Abstract W.B. Cardoso $^{a}$, A.T. Avelar$^{a}$, D. Bazeia$^{b}$, M.S. Hussein$^{c,}$∗ $^{a}$Instituto de F´ısica, Universidade Federal de Goi ´as, 74.001-970, Goiˆ ania - Goi´as, Brazil