(2) Multiple soliton solutions for the (3+1) conformable space–time fractional modified Korteweg–de-Vries equations
R.I. Nuruddeen
Department of Mathematics, Federal University Dutse, Dutse, Jigawa State, Nigeria
Received 24 September 2017; received in revised form 16 November 2017; accepted 27 November 2017
Available online 1 February 2018
Abstract
In the present paper, multiple exact soliton solutions for the old and the newly introduced (3+1)-dimensional modified Korteweg–de-Vries equation (mKdV) will be sought. The mKdV equations considered feature fractional derivative orders in both the space and time variables. A variety of soliton solutions ranging from hyperbolic to periodic function solutions will be constructed using simple ansatze for the equations.
Finally, the algebraic equations to be obtained along the way and graphical representations will be carried out by utilizing the Mathematica software.
© 2017 Shanghai Jiaotong University. Published by Elsevier B.V.
This is an open access article under the CC BY-NC-ND license. ( http://creativecommons.org/licenses/by-nc-nd/4.0/ )
Keywords: (3+1) modified Korteweg–de-Vries equations; Conformable fractional derivative; Soliton solutions.