On the solution of the space-time fractional cubic nonlinear Schr?dinger equation

摘要

The space–time fractional nonlinear Schr?dinger equation is studied based on the modified Riemann–Liouville derivative. The fractional mapping expansion method is used to find analytical solution of this model. We discuss the effects of the fractional differential order on theW-soliton and bright soliton solutions. The derived solutions show direct proportionality between soliton intensities and the value of the fractional order derivative.