Author(s)

Qiuyan Jin¹, Tiecheng Xia^1,2*, Jinbo Wang²

¹Department of Mathematics, Shanghai University, Shanghai, China.
²Science and Technology on Communication Security Laboratory, Chengdu, China.

In this paper, we get many new analytical solutions of the space-time nonlinear fractional modified KDV-Zakharov Kuznetsov (mKDV-ZK) equation by means of a new approach namely method of undetermined coefficients based on a fractional complex transform. These solutions have physics meanings in natural sciences. This method can be used to other nonlinear fractional differential equations.

Analytical Solutions, the Space-Time Fractional Modified KDV-ZK Equation, Nonlinear Fractional Differential Equation, Modified Riemann-Liouville Derivative

Jin, Q. , Xia, T. and Wang, J. (2017) The Exact Solution of the Space-Time Fractional Modified Kdv-Zakharov-Kuznetsov Equation. Journal of Applied Mathematics and Physics, 5, 844-852. doi: 10.4236/jamp.2017.54074.