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Generation and control of multiple solitons under the influence of parameters

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Abstract

In this paper, the analytic three-soliton solution for a high-order nonlinear Schrödinger equation is obtained by the Hirota’s bilinear method. The transmission characteristics of three solitons are discussed. By selecting relevant parameters, soliton interactions are presented, and the method of generating new solitons is suggested. The influences of corresponding parameters on soliton transmission and interactions are analyzed. Results of this paper are helpful for enriching the soliton theory and studying the signal routing system.

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Acknowledgements

This work of Wenjun Liu was supported by the National Natural Science Foundation of China (Grant Nos. 11674036 and 11875008), by the Beijing Youth Top-notch Talent Support Program (Grant No. 2017000026833ZK08) and by the Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications, Grant Nos. IPOC2016ZT04 and IPOC2017ZZ05). This work of Qin Zhou was supported by the National Natural Science Foundation of China (Grant Nos. 11705130 and 1157149), and this author was also sponsored by the Chutian Scholar Program of Hubei Government in China. The research work of Milivoj Belic was supported by Qatar National Research Fund (QNRF) under the Grant Number NPRP 8-028-1-001.

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Authors and Affiliations

  1. State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, P. O. Box 122, Beijing, 100876, People’s Republic of China

    Xiaoyan Liu & Wenjun Liu

  2. Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P. O. Box 12, 23000, Annaba, Algeria

    Houria Triki

  3. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, 430212, People’s Republic of China

    Qin Zhou

  4. Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar-Vajargah, P.C. 44891-63157, Iran

    Mohammad Mirzazadeh

  5. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL, 35762, USA

    Anjan Biswas

  6. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria, 0008, South Africa

    Anjan Biswas

  7. Science Program, Texas A&M University at Qatar, PO Box 23874, Doha, Qatar

    Milivoj Belic

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  1. Xiaoyan Liu
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Liu, X., Triki, H., Zhou, Q. et al. Generation and control of multiple solitons under the influence of parameters. Nonlinear Dyn 95, 143–150 (2019). https://doi.org/10.1007/s11071-018-4556-8

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