https://doi.org/10.1140/epjb/s10051-026-01156-9
Regular Article - Statistical and Nonlinear Physics
Bright–dark kink soliton transport in a spin rotator model of Heisenberg Helimagnet
1
Present Address: Department of Physics, St. Xavier’s Catholic College of Engineering, 629 003, Nagercoil, India
2
Department of Physics, Women’s Christian College, 629 001, Nagercoil, India
a
This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
18
February
2025
Accepted:
13
March
2026
Published online:
6
April
2026
Abstract
We examine the dynamics of a helimagnetic spin system in the continuum limit by introducing a spin rotator model that incorporates both anisotropic and bilinear interactions. The resulting dynamical equations of motion are derived and analyzed through analytical as well as graphical methods using the Multiple Exponential Function approach, with particular emphasis on the influence of various interaction mechanisms. The effects of lattice deformations are also explored. Furthermore, the modulational instability (MI) of the proposed magnetic spin system is investigated analytically through linear stability analysis.
Copyright comment 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.
Present address: Present Address: Department of Physics, St. Xavier’s Catholic College of Engineering, Nagercoil, 629 003, India
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2026
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.

