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Darboux transformation for the defocusing modified complex short-pulse equation and its multi-dark-soliton solutions

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Abstract

We consider the defocusing modified complex short-pulse equation. The Darboux transformation for this equation is constructed with the help of the reciprocal transformation and the associated defocusing modified complex short-pulse equation. As an application, the multi-dark-soliton solutions of the defocusing modified complex short-pulse equation are presented in determinant form.

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Acknowledgments

It is our pleasure to thank the anonymous referee for the useful suggestions and comments.

Funding

This work is supported by the Natural Science Foundation of Guangxi Zhuang autonomous region, China (grant No. 2022GXNSFAA035598) and the National Natural Science Foundation of China (grant Nos. 11905110 and 11871471).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Nanning Normal University, Nanning, China

    Hui Mao & Chunjing Mo

  2. Guangxi Key Lab of Human-machine Interaction and Intelligent Decision, Nanning Normal University, Nanning, China

    Hui Mao

  3. School of Statistics and Management, Shanghai University of Finance and Economics, Shanghai, China

    Weicai Pang

Authors
  1. Hui Mao
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  2. Chunjing Mo
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  3. Weicai Pang
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Corresponding author

Correspondence to Hui Mao.

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The authors declare no conflicts of interest.

Additional information

Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, 2022, Vol. 212, pp. 374–385 https://doi.org/10.4213/tmf10270.

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Mao, H., Mo, C. & Pang, W. Darboux transformation for the defocusing modified complex short-pulse equation and its multi-dark-soliton solutions. Theor Math Phys 212, 1211–1221 (2022). https://doi.org/10.1134/S0040577922090045

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  • DOI: https://doi.org/10.1134/S0040577922090045

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