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Symmetries and new exact solutions of the novel (3+1)-dimensional sinh-Gorden equation

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Abstract

In the present paper, some new exact solutions of the (3+1)-dimensional sinh-Gorden equation are displayed. First, based on the Lie point symmetry, basic infinitesimal generators given; also, and the Lie algebra and commutative relations are shown. Second, some exact solutions are obtained using the F-expansion method, and a great many Jacobian-elliptic function solutions are presented. Finally, other forms of solutions are derived using the traveling wave transform.

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Acknowledgements

This work is supported by the Natural Science Foundation of Hebei Province of China (No. A2018207030), Youth Key Program of Hebei University of Economics and Business (2018QZ07), Key Program of Hebei University of Economics and Business (2020ZD11), Youth Team Support Program of Hebei University of Economics and Business, Youth Top-notch Talent Support Program of Higher Education of Hebei Province of China (BJ2020011), Science and Technology Program of Colleges and Universities in Hebei Province (QN2020144), Scientific Research and Development Program Fund Project of Hebei University of Economics and Business (2020YB15), National Natural Science Foundation of China (Grant No. 11 801 133, 11 801 132).

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Authors and Affiliations

  1. School of Computer Science, Liaocheng University, Liaocheng, 252059, People’s Republic of China

    Rui Liu

  2. School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang, 050061, People’s Republic of China

    Zhijun Wang, Xing Su & Gangwei Wang

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  1. Rui Liu
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  2. Zhijun Wang
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  3. Xing Su
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  4. Gangwei Wang
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Correspondence to Gangwei Wang.

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Liu, R., Wang, Z., Su, X. et al. Symmetries and new exact solutions of the novel (3+1)-dimensional sinh-Gorden equation. J. Korean Phys. Soc. 79, 527–532 (2021). https://doi.org/10.1007/s40042-021-00252-6

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