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Rogue waves and breathers in Heisenberg spin chain

Author

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  • Aritra K. Mukhopadhyay
  • Vivek M. Vyas
  • Prasanta K. Panigrahi

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

Suggested Citation

  • Aritra K. Mukhopadhyay & Vivek M. Vyas & Prasanta K. Panigrahi, 2015. "Rogue waves and breathers in Heisenberg spin chain," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 88(7), pages 1-5, July.
    • Handle: RePEc:spr:eurphb:v:88:y:2015:i:7:p:1-5:10.1140/epjb/e2015-60229-8
    DOI: 10.1140/epjb/e2015-60229-8
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    Cited by:

    1. Rahul, O.R. & Murugesh, S., 2019. "Rogue breather modes: Topological sectors, and the ‘belt-trick’, in a one-dimensional ferromagnetic spin chain," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 262-269.

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    Solid State and Materials;

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