Rogue waves and breathers in Heisenberg spin chain

Aritra K. Mukhopadhyay (), Vivek M. Vyas and Prasanta K. Panigrahi

The European Physical Journal B: Condensed Matter and Complex Systems, 2015, vol. 88, issue 7, 1-5

Abstract: Following the connection of the non-linear Schrödinger equation with the continuum Heisenberg spin chain, we find the rogue soliton equivalent in the spin system. The breathers are also mapped to the corresponding space or time localized oscillatory modes, through the moving curve analogy. The spatio-temporal evolution of the curvature and torsion of the curve, underlying these dynamical systems, are explicated to illustrate the localization property of the rogue waves. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2015

Keywords: Solid State and Materials (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1140/epjb/e2015-60229-8

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