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Grey solitons, with complex envelope, are obtained as exact solutions of thecoupled system describing doped optical nonlinear fibers. The phase degree offreedom plays a crucial role in removing the restrictive equal frequencyconditions on the tanh-sech paired pulses, identified earlier [1]. Thecross-phase modulation is found to control the speed of the grey soliton, whichhas an upper bound. The coupled soliton solution obtained here was found to bestable in a wide parameter range.

Grey solitons in doped nonlinear fibers