Abstract
Under investigation in this paper is a generalized coupled nonlinear Schrodinger system, which describes the propagation properties of soliton pulses in a uniform nonlinear couple fiber system with the fiber loss or gain. Based on the 3 $$\times $$ 3 lax pair, several kinds of soliton solutions, periodic solutions and breather solutions are generated on the vanishing and nonvanishing backgrounds by virtue of the Darboux transformation method. Figures are plotted to reveal the dynamic features of those solutions: (1) elastic interactions of two periodic soliton solutions, (2) dynamic features of Ma breathers and Akhmediev breathers and (3) propagation properties of two-breather solutions.
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