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We describe a method for obtaining exact solutions of the nonlinear Schr\"odinger equation for describing pulse propagation in optical fibers in the normal-group-velocity-dispersion regime. The method is based on the construction of a certain complete integrable finite-dimensional dynamical system whose solutions determine the exact solutions of the nonlinear Schr\"odinger equation.
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Mihalache et al. (1992) studied this question.
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