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Exact soliton solution and inelastic two-soliton collision in a spin chain driven by a time-dependent magnetic field

2003/09/03 by Z. D. Li, Zai-Dong Li, Lu Li +5 · 2 citations
Physics and Astronomy · #Advanced Fiber Laser Technologies #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #cond-mat.other

paper · pdf · doi:10.1103/physreve.68.036102

published as Phys. Rev. E 68, 036102 (2003) · 5 pages, 5 figures

openalex publication_date 2003/09/03 · arxiv created 2005/06/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate dynamics of exact N-soliton trains in a spin chain driven by a time-dependent magnetic field by means of an inverse scattering transformation. The one-soliton solution indicates obviously the spin precession around the magnetic field and periodic shape variation induced by the time-varying field as well. In terms of the general soliton solutions, N-soliton interaction and particularly various two-soliton collisions are analyzed. The inelastic collision by which we mean the soliton shape change before and after collision appears is generally due to the time-varying field. We, moreover, show that complete inelastic collisions can be achieved by adjusting spectrum and field parameters. This may lead to a potential technique of shape control of soliton.

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