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article · Ukrainian Journal of Physical Optics

IMPLICIT QUIESCENT SOLITON PERTURBATION IN OPTICAL METAMATERIALS WITH NONLINEAR CHROMATIC DISPERSION AND KUDRYASHOV'S QUINTUPLE FORM OF SELF-PHASE MODULATION BY LIE SYMMETRY

Abstract

The current paper addresses the formation of perturbed quiescent solitons in optical metamaterials with nonlinear chromatic dispersion for Kudryashov's quintuple form of self-phase modulation by Lie symmetry.This work examines two models: the nonlinear Schrdinger equation and the complex Ginzburg-Landau equation, both with linear and generalized temporal evolution.The results are expressed in terms of quadratures, and the solition's existence criteria are also presented.

Research topics

  • Optical and Acousto-Optic Technologies
  • Photonic Crystals and Applications
  • Inorganic and Organometallic Chemistry

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DOI: 10.3116/16091833/ukr.j.phys.opt.2026.03009

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