The inverse scattering transform method is used to solve the model that describes the evolution of light pulses in an optical system that includes a set of media with different nonlinear optical properties. As a physical example, we analyze a model composed of the systems of equations that describe the resonant interaction of a very short light pulse with an energy transition of the medium and the ensuing propagation of the light field in an optical fiber. The constant boundary values of one of the fields is shown to result in an asymptotic quasi-radiative solution of the model.
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