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- W2784025531 abstract "In this article, we investigate some exact wave solutions to the higher dimensional time-fractional Schrodinger equation, an important equation in quantum mechanics. The fractional Schrodinger equation further precisely describes the quantum state of a physical system changes in time. In order to determine the solutions a suitable transformation is considered to transmute the equations into a simpler ordinary differential equation (ODE) namely fractional complex transformation. We then use the modified simple equation (MSE) method to obtain new and further general exact wave solutions. The MSE method is more powerful and can be used in other works to establish completely new solutions for other kind of nonlinear fractional differential equations arising in mathematical physics. The affect of obtaining parameters for its definite values which are examined from the solutions of two dimensional and three dimensional time-fractional Schrodinger equations are discussed and therefore might be useful in different physical applications where the equations arise in this article." @default.
- W2784025531 created "2018-01-26" @default.
- W2784025531 creator A5026012135 @default.
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- W2784025531 date "2018-01-01" @default.
- W2784025531 modified "2023-10-04" @default.
- W2784025531 title "Closed Form Exact Solutions to the Higher Dimensional Fractional Schrodinger Equation via the Modified Simple Equation Method" @default.
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- W2784025531 doi "https://doi.org/10.4236/jamp.2018.61009" @default.
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