Soliton solutions for space-time fractional Heisenberg ferromagnetic spin chain equation by generalized Kudryashov method and modified exp(-Ω(η))-expansion function method

Abstract

This paper addresses the Heisenberg ferromagnetic spin chain equation with beta derivative. Initially, beta derivatives and their features are presented. Then, by submitting the generalized Kudryashov method and modified exp(-Omega(eta))-expansion function method, dark, bright, and dark-bright soliton solutions of this equation, which can be explained with beta derivative, are procured. Thus, it seems that these methods can supply significant outcomes in finding the exact solutions fractional differential equations with beta time derivative.