Abstract
In this study, the Lie symmetry analysis is performed on a coupled system of nonlinear time-fractional Jaulent-Miodek equations associated with energy-dependent Schrodinger potential. The underlying problem is similarity reduced to a system of nonlinear ordinary differential equations with Erdelyi-Kober fractional derivatives. Employing the invariant subspace method, a set of explicit solutions for the problem has been well constructed. In addition, the new conservation theorem is used to construct the conservation laws of the problem.
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