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Group-invariant solutions to \(SL'(2)\)-motion equation

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Abstract

By using the theory of group-invariant solutions, the symmetries of the motion equation of plane curve in \(SL'(2)\) geometry is presented. Group-invariant solutions associated with one-dimensional optimal system are obtained and classified.

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Authors and Affiliations

  1. School of Mathematical Sciences, Liaocheng University, Liaocheng, 252059, China

    Fang Gao, Zhenjie Niu & Zenggui Wang

Authors
  1. Fang Gao
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  2. Zhenjie Niu
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  3. Zenggui Wang
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Correspondence to Zenggui Wang.

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Gao, F., Niu, Z. & Wang, Z. Group-invariant solutions to \(SL'(2)\)-motion equation. Pramana - J Phys 95, 118 (2021). https://doi.org/10.1007/s12043-021-02140-x

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  • DOI: https://doi.org/10.1007/s12043-021-02140-x

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