Sub-equation method for the fractional regularized long-wave equations with conformable fractional derivatives


1 Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, P.O. Box 1914, Iran.

2 Department of Applied Mathematics, Islamic Azad University, Lahijan Branch, Lahijan, P.O. Box 1616, Iran.


In this paper, we employ a sub-equation method to nd the exact solutions to the fractional (1 + 1) and (2 + 1) regularized long-wave equations which arise in several physical applications, including ion sound waves in plasma, by using a new de nition of fractional derivative called conformable fractional derivative. The presented method is more e ective, powerful, and straightforward and can be used for many other nonlinear partial fractional di erential equations.