The Exact Solution of Fractional Coupled EW and Coupled MEW Equations Using Sine-Cosine Method

Abstract

In the current paper, the coupled of space -time fractional of both the equal width wave equation(FCEWE) and the modified equal width wave equation (FCMEWE) are formally solved. For this purpose, the conformable derivative and Sine-Cosine method have been introduced to reduce these equations into the ordinary differential equations then the exact solution was extracted. The search results showed the possibility of using this method successfully for solving the FCEW and FCMEW equations at different time levels.