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Lie group analysis and analytic solutions for a (2+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation in fluid mechanics and plasma physics

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Abstract

Under investigation in this paper is a (2+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation in fluid mechanics and plasma physics. We obtain the Lie point symmetry generators, Lie symmetry group and symmetry reductions via the Lie group method. Hyperbolic-function, power-series, trigonometric-function, soliton and rational solutions are derived via the power-series expansion, polynomial expansion and \(\left( \frac{G^{'}}{G}\right) \) expansion method.

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Acknowledgements

The authors express their sincere thanks to the members of their discussion group for their valuable suggestions. This work has been supported by the National Natural Science Foundation of China under Grant No. 11772017, and by the Fundamental Research Funds for the Central Universities.

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Authors and Affiliations

  1. Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing, 100191, China

    Fei-Yan Liu, Yi-Tian Gao, Xin Yu, Liu-Qing Li, Cui-Cui Ding & Dong Wang

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  1. Fei-Yan Liu
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  2. Yi-Tian Gao
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  3. Xin Yu
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  4. Liu-Qing Li
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Correspondence to Yi-Tian Gao or Xin Yu.

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Liu, FY., Gao, YT., Yu, X. et al. Lie group analysis and analytic solutions for a (2+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation in fluid mechanics and plasma physics. Eur. Phys. J. Plus 136, 656 (2021). https://doi.org/10.1140/epjp/s13360-021-01469-x

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