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Darboux transformation and novel solitons of a coupled system

Author

Listed:
  • Xianghua Jiang

    (Danyang Normal School, Zhenjiang College)

  • Xifang Cao

    (Yangzhou University)

Abstract

In this paper we give a Darboux transformation for a coupled system. As the applications of that system, applying our Darboux transformation to some trivial seed solutions we construct some new solutions, such as kink, soliton, kink-soliton and twins-soliton. The twins-soliton obtained in this paper is a travelling wave solution and so its wave form does not change with the time. We also show that two such twins-solitons are unaltered in shape and speed after the nonlinear interaction.

Suggested Citation

  • Xianghua Jiang & Xifang Cao, 2022. "Darboux transformation and novel solitons of a coupled system," Indian Journal of Pure and Applied Mathematics, Springer, vol. 53(2), pages 413-424, June.
    • Handle: RePEc:spr:indpam:v:53:y:2022:i:2:d:10.1007_s13226-021-00207-4
    DOI: 10.1007/s13226-021-00207-4
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    References listed on IDEAS

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    1. Chen, Su-Su & Tian, Bo & Liu, Lei & Yuan, Yu-Qiang & Zhang, Chen-Rong, 2019. "Conservation laws, binary Darboux transformations and solitons for a higher-order nonlinear Schrödinger system," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 337-346.
    2. Fan Zhang, 2019. "In the Dark," World Bank Publications - Books, The World Bank Group, number 30923.
    3. Du, Zhong & Tian, Bo & Chai, Han-Peng & Sun, Yan & Zhao, Xue-Hui, 2018. "Rogue waves for the coupled variable-coefficient fourth-order nonlinear Schrödinger equations in an inhomogeneous optical fiber," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 90-98.
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