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• W4380046541 endingPage "113603" @default.
• W4380046541 startingPage "113603" @default.
• W4380046541 abstract "Under investigations were several coupled time–space fractional integrable equations which are called the (1+1)-dimensional KdV-type equations, the (2+1)-dimensional Burgers equations and the (3+1)-dimensional unsteady Euler equations of gas dynamics. In this article, these above considered time–space fractional models through the symmetry analysis approach were explored. As the most basic results, symmetries of these researched equations, were obtained. With the help of the multiple-parameters Erdélyi-Kober fractional operators, they can be reduced into lower dimensional systems. We noticed that this reduction process was somewhat different from the integer case. Besides, we also obtained the explicit power series solution and analyze the convergence to it. By considering the new fractional conservation theorem, conserved quantity of time and space of these time–space fractional systems, were also obtained." @default.
• W4380046541 created "2023-06-10" @default.
• W4380046541 creator A5078871415 @default.
• W4380046541 creator A5079863827 @default.
• W4380046541 date "2023-08-01" @default.
• W4380046541 modified "2023-10-06" @default.
• W4380046541 title "Symmetry group analysis of several coupled fractional partial differential equations" @default.
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• W4380046541 doi "https://doi.org/10.1016/j.chaos.2023.113603" @default.
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