On the fractional Jaulent-Miodek equation associated with energy-dependent Schrödinger potential: Lie symmetry reductions, explicit exact solutions and conservation laws
Department of Mathematics, Malek Ashtar University Of Technology, 34149-16818, Shahin Shahr, Iran
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Accepted: 8 November 2017
Published online: 12 December 2017
In this study, the Lie symmetry analysis is performed on a coupled system of nonlinear time-fractional Jaulent-Miodek equations associated with energy-dependent Schrödinger 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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2017