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Abstract <p> We find implicit quiescent solitons in optical metamaterials with nonlinear chromatic dispersion and several forms of self-phase modulation structures. The temporal evolution is however assumed to be linear. Some of the self-phase modulation structures yield results with quadratures. In each case, the governing model is integrated by applying Lie symmetry. </p>

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Implicit quiescent solitons in optical metamaterials with an array of self-phase modulation structures by Lie symmetry

  • 期刊论文

  • 发表日期：

    2025年9月26日

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  • A. R. Adem,
  • A. Biswas,
  • Y. Yildirim

摘要

Abstract

We find implicit quiescent solitons in optical metamaterials with nonlinear chromatic dispersion and several forms of self-phase modulation structures. The temporal evolution is however assumed to be linear. Some of the self-phase modulation structures yield results with quadratures. In each case, the governing model is integrated by applying Lie symmetry.