An improved generalized F-expansion method and its applications |
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Authors: | M.A. Abdou |
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Affiliation: | 1. Theoretical Research Group, Physics Department, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt;2. Faculty of Education for Girls, Physics Department, King Kahlid University, Bisha, Saudia Arabia |
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Abstract: | An improved generalized F-expansion method is proposed to seek exact solutions of nonlinear evolution equations. With the aid of symbolic computation, we choose the generalized nonlinear Schrodinger equation with a source to illustrate the validity and advantages of the proposed method. Many new and more general non-travelling wave solutions are obtained, including single and combined non-degenerate Jacobi elliptic function solutions, solitons-like solutions, trigonometric function solutions and rational solutions. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in physics. |
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Keywords: | 76M30 78M30 35A15 |
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