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Symmetry analysis of the time fractional Gaudrey–Dodd–Gibbon equation

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  • Gao, Ben
  • Zhang, Yao

Abstract

In this paper, based on Lie symmetry analysis method, we study the invariance properties of the time fractional Gaudrey–Dodd–Gibbon equation. Using two kinds of different similarity variables, this equation can be reduced to two kinds of different nonlinear ordinary differential equations of fractional order. The fractional derivatives corresponding to reduction equations are usually known as the Erdélyi–Kober fractional derivative and Riemann–Liouville fractional derivative respectively.

Suggested Citation

  • Gao, Ben & Zhang, Yao, 2019. "Symmetry analysis of the time fractional Gaudrey–Dodd–Gibbon equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1058-1062.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:1058-1062
    DOI: 10.1016/j.physa.2019.04.023
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    References listed on IDEAS

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    1. Huang, Qing & Zhdanov, Renat, 2014. "Symmetries and exact solutions of the time fractional Harry-Dym equation with Riemann–Liouville derivative," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 409(C), pages 110-118.
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