Symmetry Groups, Similarity Reductions, and Conservation Laws of the Time-Fractional Fujimoto–Watanabe Equation Using Lie Symmetry Analysis Method

Baoyong Guo, Huanhe Dong and Yong Fang (fangyong@nju.edu.cn)

Complexity, 2020, vol. 2020, 1-9

Abstract:

In this paper, the time-fractional Fujimoto–Watanabe equation is investigated using the Riemann–Liouville fractional derivative. Symmetry groups and similarity reductions are obtained by virtue of the Lie symmetry analysis approach. Meanwhile, the time-fractional Fujimoto–Watanabe equation is transformed into three kinds of reduced equations and the third of which is based on Erdélyi–Kober fractional integro-differential operators. Furthermore, the conservation laws are also acquired by Ibragimov’s theory.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:4830684

DOI: 10.1155/2020/4830684

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