Dark solitons in ferromagnetic chains with first- and second-neighbor interactions

TL;DR

This paper investigates the formation, stability, and interactions of dark solitons in ferromagnetic chains with complex interactions, revealing how second-neighbor coupling and anisotropy influence soliton behavior.

Contribution

It provides new conditions for the existence and stability of dark and bright solitons in ferromagnetic chains with both first- and second-neighbor interactions.

Findings

Conditions for soliton appearance and stability derived.

Second-neighbor interactions affect soliton properties.

Numerical analysis of soliton scattering from defects conducted.

Abstract

We study the ferromagnetic spin chain with both first- and second-neighbor interactions. We obtained the condition for the appearance and stability of bright and dark solitons for arbitrary wave number inside the Brillouin zone. The influence of the second-neighbor interaction and the anisotropy on the soliton properties is considered. The scattering of dark solitons from point defects in the discrete spin chain is investigated numerically.