Exact wave solutions and obliqueness of truncated M-fractional Heisenberg ferromagnetic spin chain model through two analytical techniques
Muhammad Raheel, Asim Zafar, Ahmet Bekir, Kalim U. Tariq
Abstract
This research is concerned to some modernistic wave solutions of truncated M-fractional Heisenberg ferromagnetic spin chains model. The collected solutions can be executed in exposing of this model in prominent form. The obtained results include the trigonometric, hyperbolic trigonometric and exponential functions. The verification of the results is also done by using Mathematica tool. Two techniques named as modified simplest equation (MSE) and Sardar sub-equation (SSE) techniques are employed to protect the results. The achieved results are also illustrated by 2-D, 3-D and contour plots for different values truncated M-fractional parameters as well as obliqueness. The gained results can also be fruitful for the development of model in the future.