Exact solitons to M-fractional (2+1)-dimensional CNLSE based on three different methods

Abstract

In this paper, we discuss the exact solitons of M-fractional (2+1)-dimensional Chiral non-linear Schrödinger equation . We use of three distinct schemes: Kudryashov method, extended (G′/G)-Expansion method and extended Sinh-Gordon equation expansion method. Verification of solutions are done by using MATHEMATICA software. It is shown that the obtained solutions are supported by some 2-D and 3-D graphs for different parameters and M-fractional parameters values. The obtained results are newer than the existing results in the literature and can also be fruitful for the development of some different models in future. The methods that are utilized are simple, reliable and useful methods than the other methods. Therefore, these methods may be used to find the exact solutions of other fractional partial nonlinear differential equations.