An improved generalized F-expansion method and its applications

Authors:
M. A. Abdou
Affiliations:
Theoretical Research Group, Physics Department, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt and Faculty of Education for Girls, Physics Department, King Kahlid University, Bisha ...
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

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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.