Analytical and hybrid numerical simulations for the (2+1)-dimensional Heisenberg ferromagnetic spin chain

Abstract

In this study, we investigate the solitary wave solutions for the (2+1)-dimensional Heisenberg ferromagnetic spin chain (HFSC). New solitary wave solutions are generated and checked using the Bernoulli sub-equation (BSE), a novel Kudryashov (NKud), and He’s homotopy perturbation (He’s HP). One may learn about solitary waves by looking at polar, contour, two-dimensional, or three-dimensional charts. Our research is original because it contrasts with what has already been done. Mathematica software 13.1 is utilized for checking the computational techniques solutions’ accuracy by putting them back into the original model.

Keywords

• Ferromagnetic materials
• (2+1)-dimensional Heisenberg ferromagnetic spin chain
• Nonlinear Schrödinger equation
• Solitary wave
• Computational techniques