Abstract: As a coherent matter wave, the Bose-Einstein condensate （BEC） provides a playground for the investigation of the macroscopic quantum phenomenon. The nonlinear optical lattice, which is consisted of two counter-propagating laser beams, is a powerful and widely used tool for the controlling of the dynamics of the coherent matter wave. In view of the potential applications of BEC, two or more independently grown condensates provide extra controllable degrees of freedom and can be used in many areas, such as quantum metrology and quantum com- putation. In this paper, a multi-mode description is introduced to characterize the multi-component coherent matter wave. To determine the evolution property of the multi-mode matter wave in a nonlinear optical lattice, we solve the multi-mode coupled nonlinear equations. A set of analytical bright soliton solutions are constructed with a similarity transformation.

Key words: soliton, Bose-Einstein condensate, nonlinear guided wave