Nonlinear excitations in 1D ferromagnetic spin chains with anisotropic interactions

Jean-Pierre Nguenang and Timoléon Créprin Kofané

Chaos, Solitons & Fractals, 2006, vol. 30, issue 3, 552-573

Abstract: Nonlinear solitary-like and periodic-like excitations in a spin chain with a biquadratic anisotropic exchange interaction are investigated using coherent-state method combined with the Holstein–Primakoff bosonic representation of the spin operators. Using the idea of the shallow water wave approximation it has been shown that the modified terms of nonlinear Schrödinger equation are strongly restricted by the relation between the continuum approximation and the semi classical approximation. These relations may lead to three classes of the nonlinear Schrödinger equations. We derive solitary as well as the periodic solutions for each type of nonlinear Schrödinger-like equation for such a ferromagnetic chain.

Date: 2006
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077906000439
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:30:y:2006:i:3:p:552-573

DOI: 10.1016/j.chaos.2005.12.057

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().