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Lie Symmetry Analysis, Self-Adjointness and Conservation Law for a Type of Nonlinear Equation

Author

Listed:
  • Hengtai Wang

    (School of Mathematics and Physics, University of South China, Hengyang 421001, China)

  • Zhiwei Zou

    (School of Mathematics and Physics, University of South China, Hengyang 421001, China)

  • Xin Shen

    (College of Electrical Engineering, University of South China, Hengyang 421001, China)

Abstract

In the present paper, we mainly focus on the symmetry of the solutions of a given PDE via Lie group method. Meanwhile we transfer the given PDE to ODEs by making use of similarity reductions. Furthermore, it is shown that the given PDE is self-adjoining, and we also study the conservation law via multiplier approach.

Suggested Citation

  • Hengtai Wang & Zhiwei Zou & Xin Shen, 2021. "Lie Symmetry Analysis, Self-Adjointness and Conservation Law for a Type of Nonlinear Equation," Mathematics, MDPI, vol. 9(12), pages 1-10, June.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:12:p:1313-:d:570670
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    References listed on IDEAS

    as
    1. Zhang, Yufeng & Mei, Jianqin & Zhang, Xiangzhi, 2018. "Symmetry properties and explicit solutions of some nonlinear differential and fractional equations," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 408-418.
    2. Qiao, Zhijun & Liu, Liping, 2009. "A new integrable equation with no smooth solitons," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 587-593.
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