https://doi.org/10.1140/epjb/s10051-024-00653-z
Regular Article - Solid State and Materials
Existence and stability of localized breather modes in a Heisenberg helimagnet under biquadratic exchange interactions
1
Department of Physics, Women’s Christian College, 629 001, Nagercoil, India
2
Affiliated to Manonmaniam Sundaranar University, Abishekapatti, 627 012, Tirunelveli, Tamilnadu, India
Received:
30
December
2023
Accepted:
28
January
2024
Published online:
23
February
2024
Discrete bright and dark type breather modes in a one dimensional Heisenberg helimagnet with biquadratic exchange interactions is studied under semiclassical treatment. The dynamics governed by a nonlinear partial differential equation is solved by applying multiple scales combined with quasi-discreteness approximation and reduced to a Nonlinear Schrdinger Equation (NLSE). Based on the solution of NLSE derived by Inverse Scattering Technique (IST), the impact of exchange interaction on the breather modes are analysed. The Modulational Instability (MI) features of the present system is also investigated via linear stability analysis.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.