Lie Symmetry Analysis to General Fifth-Order Time-Fractional Korteweg-de-Vries Equation and Its Explicit Solution

摘要

In this research paper, we have discussed a systematic approach to solve the general time fractional fifth-order Korteweg-de-Vries equation (KdV) by Lie Symmetry Analysis. Similarity reduction transformed the fractional-order partial differential equation (FPDE) into a nonlinear fractional ordinary differential equation with new independent variable. Erdelyi-Kober fractional differential and integral operator depend on parameter 'a' implemented to reduce into fractional ordinary differential equation (FODE). At last, explicit solution is obtained by power series solution, which arises in modeling many physical phenomena.