Soliton Solution for the Spin Current in Ferromagnetic Nanowire

TL;DR

This paper explores the interaction between periodic and soliton solutions in spin currents within ferromagnetic nanowires, revealing conditions for soliton trapping and analyzing modulation instability and dark solitary wave propagation.

Contribution

It introduces a detailed analysis of how periodic and soliton solutions interact in ferromagnetic nanowires, including conditions for trapping and stability.

Findings

Solitons can be trapped in space under specific conditions.

Amplitude and wave number influence soliton properties.

Modulation instability and dark solitary waves are analyzed.

Abstract

We investigate the interaction of a periodic solution and one-soliton solution for the spin-polarized current in a uniaxial ferromagnetic nanowire. The amplitude and wave number of the periodic solution for the spin current have the different contribution to the width, velocity, and the amplitude of soliton solution, respectively. Moreover, we found that the soliton can be trapped only in space with a proper condition. At last we analyze the modulation instability and discuss dark solitary wave propagation for the spin current on the background of a periodic solution. In some special cases the solution can be expressed by the linear combination of periodic solution and soliton solution.