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Rogue waves and breathers in Heisenberg spin chain

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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.

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Authors and Affiliations

  1. Zentrum für Optische Quantentechnologien, Universität Hamburg, Luruper Chaussee 149, 22761, Hamburg, Germany

    Aritra K. Mukhopadhyay

  2. Institute of Mathematical Sciences, IV Cross Road, CIT Campus, Taramani, 600113, Chennai, India

    Vivek M. Vyas

  3. Indian Institute of Science Education and Research (IISER) Kolkata, 741246, Mohanpur, India

    Prasanta K. Panigrahi

Authors
  1. Aritra K. Mukhopadhyay
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  2. Vivek M. Vyas
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  3. Prasanta K. Panigrahi
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Correspondence to Aritra K. Mukhopadhyay.

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Mukhopadhyay, A., Vyas, V. & Panigrahi, P. Rogue waves and breathers in Heisenberg spin chain. Eur. Phys. J. B 88, 188 (2015). https://doi.org/10.1140/epjb/e2015-60229-8

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  • DOI: https://doi.org/10.1140/epjb/e2015-60229-8

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