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

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  • Benoudina, Nardjess
  • Bessaad, Nassim

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.

Suggested Citation

  • Benoudina, Nardjess & Bessaad, Nassim, 2024. "Similarity solutions of the newly derived magnetic model with damping effect and inhomogeneous exchange parameter in saturated ferromagnetic films," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    • Handle: RePEc:eee:chsofr:v:186:y:2024:i:c:s0960077924008191
    DOI: 10.1016/j.chaos.2024.115267
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