New travelling wave solutions to (2+1)-Heisenberg ferromagnetic spin chain equation using Atangana’s conformable derivative

Abstract

In this study, some new optical soliton solutions are obtained with generalized Riccati equation mapping method for space time conformable (2+1) dimensional Heisenberg ferromagnetic spin chain equation by using Atangana’s conformable derivative. We construct bright and dark solitons, combined bright-dark solitons, periodic wave solutions for this equation. 3D and 2D graphs of few obtained solutions are plotted to show some interesting physical features as these new results might be helpful in the study of nonlinear ferromagnetic materials and optical fibers. The procured results show that this is very robust method to originate abundant solutions for various fractional differential equations. All the results are verified by Maple program.