Exact Solutions for Wave Propagation in Birefringent Optical Fibers
Abstract
We carry out a group-theoretical study of the pair of nonlinear Schr\"odinger equations describing the propagation of waves in nonlinear birefringent optical fibers. We exploit the symmetry algebra associated with these equations to provide examples of specific exact solutions. Among them, we obtain the soliton profile, which is related to the coordinate translations and the constant change of phase.
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