Invariant Analysis for Space-Time Fractional Three-Field Kaup-Boussinesq Equations

摘要

Symmetries of the nonlinear fractional differential equations are an interesting and important topic. In this paper, space-time fractional three-field Kaup-Boussinesq equations with Riemann-Liouville fractional derivative are studied for invariant analysis. Symmetries are obtained by using classical Lie's symmetry approach. Using obtained symmetries, the governing equations reduce to system of fractional ordinary differential equations which contains left and right-sided Erdélyi-Kober (EK) fractional operators.