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

Ben Gao and Yao Zhang

Physica A: Statistical Mechanics and its Applications, 2019, vol. 525, issue C, 1058-1062

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.

Keywords: Lie symmetry analysis method; Fractional Gaudrey–Dodd–Gibbon equation; Riemann–Liouville fractional derivative; Erdé lyi–Kober fractional derivative (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:525:y:2019:i:c:p:1058-1062

DOI: 10.1016/j.physa.2019.04.023

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