Modified F-Expansion Method Applied to Coupled System of Equation

نویسندگان
Khaleghizadeh, S. ID 1
Aasaraai, A. ID 2
Mehrlatifan, M.B. ID 3

1 Modified F-Expansion Method Applied to Coupled System of Equation

2 Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rash, Islamic Republic of Iran

3 Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rash, Islamic Republic of Iran

doi
چکیده

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.

کلیدواژه‌ها
Modified F-expansion Method, Exact Solution, Whitham-Broer-Kaup System (1+1)-dimensional