New explicit optical solitons of fractional nonlinear evolution equation via three different methods

Abstract

We determine optical solutions of the fractional-order Heisenberg models of ferromagnetic spin chains. We use three different techniques known as the method of new sub-equation, extended Kudryashov expansion and auxiliary equation. We express new solutions in terms of hyperbolic, rational, trigonometric functions. Computational results indicate the efficiency and potential of the methods.

Keywords

• Ferromagnetic spin chains
• Fractional Heisenberg models
• Optical solutions
• New sub-equation method
• Extended Kudryashov expansion
• Auxiliary equation method