Multiple soliton solutions for the (3+1) conformable space–time fractional modified Korteweg–de-Vries equations

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.

Keywords

• (3+1) modified Korteweg–de-Vries equations
• Conformable fractional derivative
• Soliton solutions