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

نویسندگان
Aminikhah, H. ID 1
Refahi Sheikhani, A.H. ID 2
Rezazadeh, H. ID 3

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.

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

doi
10.24200/sci.2016.3873
چکیده

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.

کلیدواژه‌ها
Sub-equation method, Conformable fractional derivative, Regularized long-wave equation, Exact solutions