Nonlinear short pulse propagations in birefringent optical fiber are studied. A new nonlinear evolution equation is presented, which is a hybrid of the coupled nonlinear Schrödinger equation and the coupled derivative nonlinear Schrödinger equation. As a solution for the coupled hybrid nonlinear Schrödinger equation, solitary waves (pulsed electric fields) propagating at a constant speed are obtained.
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Hisakado et al. (1994) studied this question.
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