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

• Published in: Results in physics Vol. 43; p. 106045
• Main Authors: Attia, Raghda A.M., Zhang, Xiao, Khater, Mostafa M.A.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.12.2022; Elsevier
• Subjects: (2+1)-dimensional Heisenberg ferromagnetic spin chain; Computational techniques; Ferromagnetic materials; Nonlinear Schrödinger equation; Solitary wave; 35J10; Solitary wave; 65N15; 35R10; Computational techniques; 35D30; Ferromagnetic materials; Nonlinear Schrödinger equation; 35Q51; (2+1)-dimensional Heisenberg ferromagnetic spin chain
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2022.106045

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. •Analytical handling of the (2+1)-dimensional HFSC equation.•Constructing novel solitary wave solutions.•Studying the stability property of the model and obtained solitary wave solutions.•Explaining the obtained solutions through some distinct types of sketches.