Similarity solutions of the newly derived magnetic model with damping effect and inhomogeneous exchange parameter in saturated ferromagnetic films

Nardjess Benoudina and Nassim Bessaad

Chaos, Solitons & Fractals, 2024, vol. 186, issue C

Abstract: This study investigates the newly derived (2+1)-dimensional KMM equations with Gilbert damping and inhomogeneous exchange parameters in saturated ferromagnetic films. We are first able to build the analytical solution in the presence of the damping parameter using the Lie symmetry approach. A 5-dimensional symmetry algebra vector field of the KMM equation has been found, and the corresponding optimal system is listed. The reduction process led to new ODEs, consequently enabling the discovery of similarity solutions possessing both the damping parameter and inhomogeneous exchange. Various magnetic solitons have been identified, including line magnetic solitons (dark, bright), dipole, kink, and periodic solitons. A detailed discussion and comparison of cases with and without the damping parameter and inhomogeneous exchange are provided, with observations on the effect of the damping parameter on the amplitude.

Keywords: Lie symmetry method; Optimal system; KMM system; Similarity solution; Magnetic solitary waves; Saturated ferromagnetic films (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077924008191
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:186:y:2024:i:c:s0960077924008191

DOI: 10.1016/j.chaos.2024.115267

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().