Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6892179 | Computers & Mathematics with Applications | 2018 | 7 Pages |
Abstract
In this paper, the auxiliary equation method is applied to obtain analytical solutions of (2Â +Â 1)-dimensional time-fractional Zoomeron equation and the time-fractional third order modified KdV equation in the sense of the conformable fractional derivative. Given equations are converted to the nonlinear ordinary differential equations of integer order; and then, the resulting equations are solved using a novel analytical method called the auxiliary equation method. As a result, some exact solutions for them are successfully established. The exact solutions obtained by the proposed method indicate that the approach is easy to implement and effective.
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Authors
Arzu Akbulut, Melike Kaplan,