Abstract
The coupled nonlinear Schrödinger equations with the harmonic potential and variable coefficients are studied for the pulse propagation in an inhomogeneous medium. With the modified Hirota method and symbolic computation, the bilinear form and analytic one-soliton solutions are obtained. A type of pulse compression technique is proposed, which can have the optical pulses compressed without any external devices. Moreover, the compressed pulses are pedestal free. The influences of the inhomogeneity of the refractive index, Kerr nonlinearity and diffraction are analyzed as well. The proposed technique may provide a different method for the pulse compression.
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Acknowledgments
We express our sincere thanks to the Editors and Referees for their valuable comments. This work has been supported by the National Natural Science Foundation of China under Grant No. 60772023, by the Fundamental Research Funds for the Central Universities of China (Grant Nos. 2012RC0706 and 2011BUPTYB02), and by the National Basic Research Program of China (Grant No. 2010CB923200).
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Liu, WJ., Tian, B. & Lei, M. Symbolic computation on pulse compression without pedestal in an inhomogeneous medium. Opt Quant Electron 45, 1037–1044 (2013). https://doi.org/10.1007/s11082-013-9714-0
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DOI: https://doi.org/10.1007/s11082-013-9714-0