2010•Studies in mathematical sciencesRequires access

New Exact Jacobi Elliptic Function Solutions for Nonlinear Equations Using F-expansion Method

M.A. Abdel-Razek, Abd-Allah Kamel Seddeek, Nassar H. Abdel-All

Abstract

In this work, Jacobi elliptic function solutions for integrable nonlinear equations using F-expansion method are represented. KdV and Boussinesq equations are considered and new results are obtained.Key Words: Jacobi elliptic functions; F-expansion method; Solitary waves; Periodic solutions

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Key concepts: Elliptic function, Jacobi elliptic functions, Integrable system, Mathematics, Korteweg–de Vries equation, Nonlinear system, Jacobi method, Mathematical analysis