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Lie Point Symmetry Analysis of the Harry-Dym Type Equation with Riemann-Liouville Fractional Derivative

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Abstract

In this paper, Lie point symmetry group of the Harry-Dym type equation with Riemann-Liouville fractional derivative is constructed. Then complete subgroup classification is obtained by means of the optimal system method. Finally, corresponding group-invariant solutions with reduced fractional ordinary differential equations are presented via similarity reductions.

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Authors and Affiliations

  1. Center for Nonlinear Studies, Northwest University, Xi’an, 710069, China

    Li-zhen Wang & Qing Huang

  2. Department of Mathematics, Northwest University, Xi’an, 710069, China

    Li-zhen Wang & Qing Huang

  3. Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, 310023, China

    Ding-jiang Wang & Shou-feng Shen

Authors
  1. Li-zhen Wang
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  2. Ding-jiang Wang
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  3. Shou-feng Shen
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  4. Qing Huang
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Corresponding author

Correspondence to Shou-feng Shen.

Additional information

Supported by the National Natural Science Foundations of China (Grant No. 11201371, 11371293, 11371323), the National Natural Science Foundation of Shaanxi Province (Grant No. 2012JQ1013, 2015JM1037), the Foundation of Department of Education of Zhejiang Province (Grant No. Y201432097).

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Wang, Lz., Wang, Dj., Shen, Sf. et al. Lie Point Symmetry Analysis of the Harry-Dym Type Equation with Riemann-Liouville Fractional Derivative. Acta Math. Appl. Sin. Engl. Ser. 34, 469–477 (2018). https://doi.org/10.1007/s10255-018-0760-z

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  • DOI: https://doi.org/10.1007/s10255-018-0760-z

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