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.
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Adem et al. (2026) studied this question.
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