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Further improved F-expansion and new exact solutions for nonlinear evolution equations

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Abstract

The improved F-expansion method with a computerized symbolic computation is used to construct the exact traveling wave solutions of four nonlinear evolution equations in physics. As a result, many exact traveling wave solutions are obtained which include new soliton-like solutions, trigonometric function solutions, and rational solutions. The method is straightforward and concise, and it holds promise for many applications.

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Authors and Affiliations

  1. Theoretical Research Group, Physics Department, Faculty of Science, Mansoura University, 35516, Mansoura, Egypt

    M. A. Abdou

  2. Faculty of Education for Girls, Physics Department, King Kahlid University, Bisha, Saudi Arabia

    M. A. Abdou

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  1. M. A. Abdou
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Correspondence to M. A. Abdou.

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Abdou, M.A. Further improved F-expansion and new exact solutions for nonlinear evolution equations. Nonlinear Dyn 52, 277–288 (2008). https://doi.org/10.1007/s11071-007-9277-3

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  • DOI: https://doi.org/10.1007/s11071-007-9277-3

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