New analytical wave solutions to the M-fractional Kuralay-II equations based on three distinct schemes

This article is about, the new analytical wave solutions of Kuralay-II equations (K-IIAE and K-IIBE) along new definition of derivative have been explored. For this purpose, expa function, extended sinh-Gordon equation expansion scheme and generalized Kudryashov schemes have been utilized. The resulting solutions are dark, bright, dark-bright, periodic, singular and other kinds of solitons. These results are obtained and also verified by Mathematica tool. Our gained solutions are newer than the present solutions in the literature. The gained results can also be fruitful for the development of model in future. The schemes used in this research are effective, easy and reliable to handle the other fractional non-linear partial differential equations (FNLPDEs).