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Analytical soliton solutions for the cubic–quintic nonlinear Schrödinger equation with Raman effect in the nonuniform management systems

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Abstract

Based on the Kundu–Eckhaus equation with variable coefficients, the exact one-soliton and two-soliton solutions have been explicitly given by an appropriate similarity transformation method. As an example, an exponential distributed fiber control system, nonlinearity management system and dispersion management system have been considered, and the propagation characteristics of the exact soliton solutions in the three nonuniform management systems have been investigated in detail. Especially, the dynamic properties of the amplitude, pulse width and the central position of the soliton with transmission distance have been studied. The results have some guiding significance for soliton amplification, compression and control management, and can provide some theoretical analysis for carrying out optical soliton communication experiment.

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Acknowledgments

This work has been supported by Nature Science Basic Research Plan in Shaanxi Province of China (Grant No. 2014JM8340), the China Postdoctoral Science Special Foundation (Grant No. 201104659), the China Postdoctoral Science Foundation (Grant No. 20100481322), the Foundation of State Key Lab on Integrated Service Networks (Grant No. ISN1003006), the Fundamental Research Funds for the Central Universities (Grant No. NSIY041404), and 111 Project of China (B08038).

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Authors and Affiliations

  1. State Key Laboratory of Integrated Service Networks, School of Telecommunications Engineering, Xidian University, Xi’an, 710071, China

    Ping Wang, Li Feng & Tao Shang

  2. School of Physics and Optoelectronic Engineering, Xidian University, Xi’an, 710071, China

    Ping Wang & Lixin Guo

  3. Zhuhai Comleader Information Science and Technology Co., Ltd, Zhengzhou, 450008, China

    Li Feng

  4. State Key Laboratory of Transient Optics and Photonics, Xi’an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi’an, 710119, China

    Guanghua Cheng

  5. Department of Physics, Northwest University, Xi’an, 710069, China

    Yingjie Du

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  1. Ping Wang
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  2. Li Feng
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  3. Tao Shang
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  4. Lixin Guo
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  5. Guanghua Cheng
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Correspondence to Ping Wang.

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Wang, P., Feng, L., Shang, T. et al. Analytical soliton solutions for the cubic–quintic nonlinear Schrödinger equation with Raman effect in the nonuniform management systems. Nonlinear Dyn 79, 387–395 (2015). https://doi.org/10.1007/s11071-014-1672-y

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  • DOI: https://doi.org/10.1007/s11071-014-1672-y

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