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Darboux transformation and analytic solutions for a generalized super-NLS-mKdV equation

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Abstract

Darboux transformation is an efficient method for solving different nonlinear partial differential equations. In this paper, on the basis of a Lie super-algebras, a generalized super-NLS-mKdV equation is solved by the Darboux transformation. The analytic solutions are presented with the help of symbolic computation. Besides, two special cases are given to make the solution intuitive. Dynamic properties of solitons are also discussed.

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Acknowledgements

The 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 No. IPOC2017ZZ05).

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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

    Xue Guan & Wenjun Liu

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

    Qin Zhou

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

    Anjan Biswas

  4. Department of Mathematics, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Anjan Biswas

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

    Anjan Biswas

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  1. Xue Guan
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Correspondence to Wenjun Liu.

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Guan, X., Liu, W., Zhou, Q. et al. Darboux transformation and analytic solutions for a generalized super-NLS-mKdV equation. Nonlinear Dyn 98, 1491–1500 (2019). https://doi.org/10.1007/s11071-019-05275-0

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