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Symmetry operators and exact solutions of a type of time-fractional Burgers–KdV equation

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In this paper, group analysis of the fourth-order time-fractional Burgers–Korteweg–de Vries (KdV) equation is considered. Geometric vector fields of Lie point symmetries of the equation are investigated and the corresponding… Click to show full abstract

In this paper, group analysis of the fourth-order time-fractional Burgers–Korteweg–de Vries (KdV) equation is considered. Geometric vector fields of Lie point symmetries of the equation are investigated and the corresponding optimal system is found. Similarity solutions of the equation are presented by using the obtained optimal system. Finally, a useful method called invariant subspaces is applied in order to find another solutions.

Keywords: fractional burgers; equation; kdv equation; time fractional; symmetry operators

Journal Title: International Journal of Geometric Methods in Modern Physics
Year Published: 2019

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