University of TehranJournal of Sciences, Islamic Republic of Iran1016-110424420131201Modified F-Expansion Method Applied to Coupled System of Equation34735436455ENA.AasaraaiDepartment of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan,
Rash, Islamic Republic of IranM.B.MehrlatifanDepartment of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan,
Rash, Islamic Republic of IranS.KhaleghizadehModified F-Expansion Method Applied to Coupled System
of EquationJournal Article20130207A modified F-expansion method to find the exact traveling wave solutions ofÂ 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