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

Autor: Baoyong Guo, Huanhe Dong, Yong Fang
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Complexity, Vol 2020 (2020)
Druh dokumentu: article
ISSN: 1076-2787
1099-0526
DOI: 10.1155/2020/4830684
Popis: 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.
Databáze: Directory of Open Access Journals
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