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

Abstract

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 Erde� lyi- Kober (EK) fractional operators. � 2021, Springer Nature Singapore Pte Ltd.