On the Lie symmetry analysis and traveling wave solutions of time fractional fifth-order modified Sawada-Kotera equation
2018 ◽
pp. 411-416
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Keyword(s):
In this paper, we study Lie symmetry analysis of the time fractional fifth-order modified Sawada-Kotera equation (FMSK) with Riemann-Liouville derivative. Applying the adapted the Lie group theory to the equation under study, two dimensional Lie algebra is deduced. Using the obtained nontrivial Lie point symmetry, it is shown that the equation can be converted into a nonlinear fifth order ordinary differential equation of fractional order in the meaning of the Erdelyi-Kober fractional derivative operator. In addition, we construct some exact traveling solutions for the FMSK using the sub-equation method.
2020 ◽
Vol 39
(1)
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pp. 179-198
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Keyword(s):
Lie symmetry analysis, optimal systems and exact solutions to the fifth-order KdV types of equations
2010 ◽
Vol 368
(2)
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pp. 551-558
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Keyword(s):
Keyword(s):
2013 ◽
Vol 18
(9)
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pp. 2321-2326
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2013 ◽
Vol 31
(1_2)
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pp. 229-239
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Keyword(s):
2021 ◽
Vol 7
(1)
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