Explicit series solutions of some linear and nonlinear Schrodinger equations via the homotopy analysis method |
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| Authors: | AK Alomari MSM Noorani R Nazar |
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| Institution: | 1. Department of Applied Mathematics, University of Science and Technology Beijing, Beijing 100083, China;2. Department of Physics, Beijing University of Chemical Technology, Beijing 100029, China;3. Department of Mathematics, Beijing University of Chemical Technology, Beijing 100029, China;1. Computer Science, University of the People, Pasadena, CA 91101, United States;2. Department of Mathematics, Uka Tarsadia University, Bardoli, Gujarat, India;3. Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Surat, Gujarat, India |
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| Abstract: | In this paper, by means of the homotopy analysis method (HAM), the solutions of some Schrodinger equations are exactly obtained in the form of convergent Taylor series. The HAM contains the auxiliary parameter ?, that provides a convenient way of controlling the convergent region of series solutions. This analytical method is employed to solve linear and nonlinear examples to obtain the exact solutions. HAM is a powerful and easy-to-use analytic tool for nonlinear problems. |
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