University of Tehran Journal of Sciences, Islamic Republic of Iran 1016-1104 24 4 2013 12 01 Modified F-Expansion Method Applied to Coupled System of Equation 347 354 36455 EN A. Aasaraai Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rash, Islamic Republic of Iran M.B. Mehrlatifan Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rash, Islamic Republic of Iran S. Khaleghizadeh Modified F-Expansion Method Applied to Coupled System of Equation Journal Article 2013 02 07 A modified F-expansion method to find the exact traveling wave solutions of  two-component nonlinear partial differential equations (NLPDEs) is discussed. We use this method to construct many new solutions to the nonlinear Whitham-Broer-Kaup system (1+1)-dimensional. The solutions obtained include Jacobi elliptic periodic wave solutions which exactly degenerate to the soliton solutions, triangular periodic wave solutions, exponential solutions and rational solutions under certain limitet conditions. In addition, some figures of partial solutions are provided for direct-viewing analysis. The method can also be extended to other types of nonlinear evolution equations in mathematical physics. https://jsciences.ut.ac.ir/article_36455_7777da9c4ae4d5edbbfe88796800cdf4.pdf