We have investigated the modulation instability (MI) in a nonlinear optical coupler using a generalized model describing the pulse propagation of two-core fiber. In particular, we discuss some influence of the MI of two-core fiber coupler. The results show that the dispersion influences the MI bandwidth, but not the maximum value of the MI gain, and the maximum value of the MI gain, as well as its bandwidth, has been also affected by input power, the ratio of power of two cores and nonlinear coefficient.
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