Dispersion and fractional lie group analysis of time fractional equation from burgers hierarchy
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Date
2021-02
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Abstract
The paper presents the analysis of time fractional 5th order equa
tion from Burgers hierarchy. We discuss the dispersion relation and provide
the complete analysis of the phase velocity and group velocity along with the
nature of wave dispersion. Similarity reductions are carried out using innites
imal symmetries to obtain nonlinear fractional ordinary di erential equations
having Erdelyi-Kober fractional di erential operator. The explicit power se
ries solution is obtained for reduced fractional ordinary di erential equation
and its convergence is discussed. The solution is appeared in the form of singu
lar kink wave and further analysed graphically for various values of fractional
order . The new conservation theorem is applied to derive the conservation
laws.