Optical EngineeringTheoretical solution for nonlinear Schrodinger equation utilized in high-power fiber laser application
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An analytical solution of the generalized nonlinear Schrodinger equation which is implemented with fiber laser applications has been presented. The solution based on the exp-function method which is depending on time, space and small perturbations has been found. This solution was used to test the behavior and study the propagation characteristics of laser pulses and compared with some of the researches in the same field and the nonlinear effects as gain dispersion, second anomalous group velocity dispersion, self phase modulation, and frequency are investigated. The net results are that the parabolic pulse growth after [i]z=4 m , and generate a periodic pulse train, the power of pulse is increased with increasing the length of fiber laser with reduce its width, the nonlinear effects have a small role on the pulse power, but they effect on the modulation stability of the laser and lead to generate sideband, the behavior of the pulse converted to chaotic when increasing the frequency.