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Content available Symmetry analysis, exact solutions and conservation laws of the nonlinear time-fractional sharma-tasso-olever equation
Yu Jicheng, Feng Yuqiang
Journal of Applied Mathematics and Computational Mechanics
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2024
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Vol. 23, nr 4
120--132
EN
The Lie symmetry analysis method (LSAM) is applied to obtain all Lie symmetries of the nonlinear time-fractional Sharma-Tasso-Olever equation. The studied fractional partial differential equation (FPDEs) is reduced to some fractional ordinary differentia equations (FODEs), of which some exact solutions including the convergent power series solution are obtained. The dynamic behaviors of these exact solutions are presented graphically. In addition, the conservation laws for the obtained symmetries are constructed by Ibragimov’s theory.
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