Symmetry Analysis and Exact Traveling Wave Solutions of a Time-Fractional Higher order nonlinear Partial Differential Equations
DOI:
https://doi.org/10.22399/ijcesen.3354Keywords:
Sixth order Time fractional generalized Sawada-Kotera equation, Time fractional seventh-order Korteweg-de-Vries (KdV) equation, Lie Classical methodAbstract
In the present paper, the invariant solutions of higher order time-fractional nonlinear partial differential equations namely, the sixth-order generalized Sawada-Kotera equation and seventh-order Korteweg-de Vries (KdV) equation. With the aid of conformable derivatives, symmetries are obtained and thereby reductions. The exact traveling wave solutions are obtained with the application of Expansion Method to time-fractional higher order nonlinear partial differential equations. Novel general traveling wave solutions with arbitrary parameters are effectively presented in trigonometric, hyperbolic, and rational function forms.
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